Liang Group

東京大学 理学部 物理学科・大学院理学系研究科 物理学専攻 原子核理論

論文

本グループの構成員が含まれているすべての論文を掲載しています. 下線のある著者が, 本グループの構成員です (本グループ在籍中および, 在籍期間に関連する研究のみ).

プレプリント

  1. Hiroyuki Tajima, Hajime Moriya, Tomoya Naito, Wataru Horiuchi, Eiji Nakano, Kei Iida.
    "Polaronic neutron in dilute alpha matter: A \( p \)-wave Bose polaron"
    arXiv:2408.15043 [nucl-th]
  2. Xun Liu.
    "A free field approach to \( \widehat{g}_k \) and parafermionic \( \widehat{g}_k / \widehat{u (1)}^r \) Ishibashi states"
    arXiv:2408.12887 [hep-th]
  3. Jing Geng, Zhi Heng Wang, Peng Wei Zhao, Yi Fei Niu, Haozhao Liang, Wen Hui Long.
    "Time-dependent Relativistic Hartree-Fock model with spherical symmetry"
    arXiv:2406.06845 [nucl-th]
  4. Tomoya Naito, Masaaki Kimura, and Masaki Sasano.
    "\( {}^{164} \mathrm{Pb} \): A possible heaviest \( N = Z \) doubly-magic nucleus"
    arXiv:2405.12095 [nucl-th]
  5. Yanhua Lu, Tianshuai Shang, Pengxiang Du, Jian Li, Haozhao Liang, Zhongming Niu.
    "Nuclear mass predictions based on convolutional neural network"
    arXiv:2404.14948 [nucl-th]
  6. Chuanxin Wang, Tomoya Naito, Jian Li, and Haozhao Liang.
    "A neural network approach for two-body systems with spin and isospin degrees of freedom"
    arXiv:2403.16819 [nucl-th]
  7. Xun Liu.
    "S-transformations for CFT\(_2\) as linear mappings from closed to open sector linear spaces"
    arXiv:2207.08480 [hep-th]

原著論文 (査読あり)

2024

  1. Yuta Sekino, Yuya Ominato, Hiroyuki Tajima, Shun Uchino, Mamoru Matsuo.
    "Thermomagnetic Anomalies by Magnonic Criticality in Ultracold Atomic Transport"
    Phys. Rev. Lett. 133, 163402 (2024).
    Journal, arXiv:2312.04280 [cond-mat.quant-gas], doi:10.1103/PhysRevLett.133.163402
  2. Xun Liu.
    "Genus-\( g \), \( n \)-point, \( b \)-boundary, \( c \)-crosscap correlation functions of two-dimensional conformal field theory: Definition and general properties"
    J. High Energ. Phys. 2024, 108 (2024).
    Journal, arXiv:2309.07528 [hep-th], doi:10.1007/JHEP09(2024)108
  3. Tingyu Zhang, Yixin Guo, Hiroyuki Tajima, and Haozhao Liang.
    "Probing Goldstino excitation through the tunneling transport in a Bose-Fermi mixture with explicitly broken supersymmetry"
    Phys. Rev. B 110, 064512 (2024).
    Journal, arXiv:2403.14524 [cond-mat.quant-gas], doi:10.1103/PhysRevB.110.064512
  4. Tian Shuai Shang, Hui Hui Xie, Jian Li, and Haozhao Liang.
    "Global prediction of nuclear charge density distributions using deep neural network"
    Phys. Rev. C 110, 014308 (2024).
    Journal, arXiv:2404.09558 [nucl-th], doi:10.1103/PhysRevC.110.014308
  5. Zu-Xing Yang, Xiao-Hua Fan, Zhi-Pan Li, and Haozhao Liang.
    "Data-driven density functional model for atomic nuclei"
    Phys. Rev. C 109, 064312 (2024).
    Journal, doi:10.1103/PhysRevC.109.064312
  6. Sota Yoshida, Takeshi Sato, Takumi Ogata, Tomoya Naito, and Masaaki Kimura.
    "Accurate and precise quantum computation of valence two-neutron systems"
    Phys. Rev. C 109, 064305 (2024).
    Journal, arXiv:2404.01694 [nucl-th], doi:10.1103/PhysRevC.109.064305
  7. Peng Guo, Xiaojie Cao, Kangmin Chen, Zhihui Chen, Myung-Ki Cheoun, Yong-Beom Choi, Pak Chung Lam, Wenmin Deng, Jianmin Dong, Pengxiang Du, Xiaokai Du, Kangda Duan, Xiaohua Fan, Wei Gao, Lisheng Geng, Eunja Ha, Xiao-Tao He, Jinniu Hu, Jingke Huang, Kun Huang, Yanan Huang, Zidan Huang, Kim Da Hyung, Hoi Yat Chan, Xiaofei Jiang, Seonghyun Kim, Youngman Kim, Chang-Hwan Lee, Jenny Lee, Jian Li, Minglong Li, Zhipan Li, Zhengzheng Li, Zhanjiang Lian, Haozhao Liang, Lang Liu, Xiao Lu, Zhi-Rui Liu, Jie Meng, Ziyan Meng, Myeong-Hwan Mun, Yifei Niu, Zhongming Niu, Cong Pan, Jing Peng, Xiaoying Qu, Panagiota Papakonstantinou, Tianshuai Shang, Xinle Shang, Caiwan Shen, Guofang Shen, Tingting Sun, Xiang-Xiang Sun, Sibo Wang, Tianyu Wang, Yiran Wang, Yuanyuan Wang, Jiawei Wu, Liang Wu, Xinhui Wu, Xuewei Xia, Huihui Xie, Jiangming Yao, Kwan Yau Ip, To Chung Yiu, Jianghan Yu, Yangyang Yu, Kaiyuan Zhang, Shijie Zhang, Shuangquan Zhang, Wei Zhang, Xiaoyan Zhang, Yanxin Zhang, Ying Zhang, Yingxun Zhang, Zhenhua Zhang, Qiang Zhao, Yingchun Zhao, Ruyou Zheng, Chang Zhou, Shan-Gui Zhou, Lianjian Zou (DRHBc Mass Table Collaboration).
    "Nuclear mass table in deformed relativistic Hartree–Bogoliubov theory in continuum, II: Even-\( Z \) nuclei"
    At. Data Nucl. Data Tables 158, 101661 (2024).
    Journal, doi:10.1016/j.adt.2024.101661
  8. Hiroyuki Tajima, Kei Iida, Haozhao Liang.
    "Nonrelativistic trace anomaly and equation of state in dense fermionic matter"
    Phys. Rev. C 109, 055203 (2024).
    Journal, arXiv:2402.04960 [hep-ph], doi:10.1103/PhysRevC.109.055203
  9. Hiroyuki Tajima, Yuta Sekino, Daisuke Inotani, Akira Dohi, Shigehiro Nagataki, Tomoya Hayata.
    "Non-Hermitian \( p \)-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas"
    Phys. Rev. Research 6, 023060 (2024).
    Journal, arXiv:2312.15724 [cond-mat.quant-gas], doi:10.1103/PhysRevResearch.6.023060
  10. Hiroyuki Tajima, Hideo Aoki, Andrea Perali, Antonio Bianconi.
    "Emergent Fano-Feshbach resonance in two-band superconductors with an incipient quasi-flat band: Enhanced critical temperature evading particle-hole fluctuations"
    Phys. Rev. B 109, L140504 (2024).
    Journal, arXiv:2402.06454 [cond-mat.supr-con], doi:10.1103/PhysRevB.109.L140504
  11. Hui Hui Xie, Jian Li, and Haozhao Liang.
    "The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy"
    Phys. Rev. C 109, 034309 (2024).
    Journal, arXiv:2310.09546 [nucl-th], doi:10.1103/PhysRevC.109.034309
  12. Hiroyuki Tajima, Hajime Moriya, Wataru Horiuchi, Eiji Nakano, and Kei Iida.
    "Polaronic proton and diproton clustering in neutron-rich matter"
    Phys. Lett. B 851, 138567 (2024).
    Journal, arXiv:2304.00535 [nucl-th], doi:10.1016/j.physletb.2024.138567
  13. Tingyu Zhang, Hiroyuki Tajima, and Haozhao Liang.
    "Magnonic spin current shot noise in an itinerant Fermi gas"
    Phys. Rev. Applied 21, L031001 (2024).
    Journal, arXiv:2311.12383 [cond-mat.quant-gas], doi:10.1103/PhysRevApplied.21.L031001
  14. To Chung Yiu, Haozhao Liang, and Jenny Lee.
    "Nuclear mass predictions based on deep neural network and finite-range droplet model (2012)"
    Chin. Phys. C 48, 024102 (2024).
    Journal, arXiv:2306.04171 [nucl-th], doi:10.1088/1674-1137/ad021c
  15. Hiroyuki Tajima, Hajime Moriya, Wataru Horiuchi, Eiji Nakano, Kei Iida.
    "Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?"
    AAPPS Bull. 34, 9 (2024).
    Journal, arXiv:2310.19422 [nucl-th], doi:10.1007/s43673-024-00117-7
  16. Hiroyuki Sagawa, Tomoya Naito, Xavier Roca-Maza, and Tetsuo Hatsuda.
    "QCD-based charge symmetry breaking interaction and the Okamoto-Nolen-Schiffer anomaly"
    Phys. Rev. C 109, L011302 (2024).
    Journal, arXiv:2305.17481 [nucl-th], doi:10.1103/PhysRevC.109.L011302
  17. Yixin Guo and Hiroyuki Tajima.
    "Medium-induced bosonic clusters in a Bose-Fermi mixture: Towards simulating cluster formations in neutron-rich matter"
    Phys. Rev. A 109, 013319 (2024).
    Journal, arXiv:2308.04738 [cond-mat.quant-gas], doi:10.1103/PhysRevA.109.013319

2023

  1. Hiroyuki Tajima, Hiroshi Funaki, Yuta Sekino, Nobutoshi Yasutake, and Mamoru Matsuo.
    "Exploring \( {}^3 P_0 \) Superfluid in Dilute Spin-Polarized Neutron Matter"
    Phys. Rev. C 108, L052802 (2023).
    Journal, arXiv:2305.08690 [nucl-th], doi:10.1103/PhysRevC.108.L052802
  2. D. S. Hou, A. Takamine, M. Rosenbusch, W. D. Xian, S. Iimura, S. D. Chen, M. Wada, H. Ishiyama, P. Schury, Z. M. Niu, H. Z. Liang, S. X. Yan, P. Doornenbal, Y. Hirayama, Y. Ito, S. Kimura, T. M. Kojima, W. Korten, J. Lee, J. J. Liu, Z. Liu, S. Michimasa, H. Miyatake, J. Y. Moon, S. Naimi, S. Nishimura, T. Niwase, T. Sonoda, D. Suzuki, Y. X. Watanabe, K. Wimmer, and H. Wollnik.
    "First direct mass measurement for neutron-rich \( {}^{112} \mathrm{Mo} \) with the new ZD-MRTOF mass spectrograph system"
    Phys. Rev. C 108, 054312 (2023).
    Journal, doi:10.1103/PhysRevC.108.054312
  3. Hui Hui Xie, Tomoya Naito, Jian Li, and Haozhao Liang.
    "Revisiting the extraction of charge radii of \( {}^{40} \)Ca and \( {}^{208} \)Pb with muonic atom spectroscopy"
    Phys. Lett. B 846, 138232 (2023).
    Journal, arXiv:2306.09026 [nucl-th], doi:10.1016/j.physletb.2023.138232
  4. Tingyu Zhang, Daigo Oue, Hiroyuki Tajima, Mamoru Matsuo, and Haozhao Liang.
    "Spin transport between polarized Fermi gases near the ferromagnetic phase transition"
    Phys. Rev. B 108, 155303 (2023).
    Journal, arXiv:2306.13536 [cond-mat.quant-gas], doi:10.1103/PhysRevB.108.155303
  5. Christian Quirouette, Daniel Cresta, Jizhou Li, Kathleen P. Wilkie, Haozhao Liang, Catherine A. A. Beauchemin.
    "The effect of random virus failure following cell entry on infection outcome and the success of antiviral therapy"
    Sci. Rep. 13, 17243 (2023).
    Journal, doi:10.1038/s41598-023-44180-w
  6. Yixin Guo and Hiroyuki Tajima.
    "Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces"
    Phys. Rev. A 108, 043303 (2023).
    Journal, arXiv:2308.04737 [cond-mat.quant-gas], doi:10.1103/PhysRevA.108.043303
  7. Zu-Xing Yang, Xiao-Hua Fan, Tomoya Naito, Zhong-Ming Niu, Zhi-Pan Li, and Haozhao Liang.
    "Calibration of nuclear charge density distribution by back-propagation neural networks"
    Phys. Rev. C 108, 034315 (2023).
    Journal, arXiv:2205.15649 [nucl-th], doi:10.1103/PhysRevC.108.034315
  8. Tomoya Naito, Hisashi Naito, and Koji Hashimoto.
    "Multi-body wave function of ground and low-lying excited states using unornamented deep neural networks"
    Phys. Rev. Research 5, 033189 (2023).
    Journal, arXiv:2302.08965 [physics.comp-ph], doi:10.1103/PhysRevResearch.5.033189
  9. Hikaru Sakakibara, Hiroyuki Tajima, and Haozhao Liang.
    "Finite-range effect in the two-dimensional density-induced BCS-BEC crossover"
    Prog. Theor. Exp. Phys. 2023, 083I02 (2023).
    Journal, arXiv:2306.02127 [cond-mat.quant-gas], doi:10.1093/ptep/ptad098
  10. Yixin Guo, Hiroyuki Tajima, Tetsuo Hatsuda, and Haozhao Liang.
    "BCS-BCS crossover between atomic and molecular superfluids in a Bose-Fermi mixture"
    Phys. Rev. A 108, 023304 (2023).
    Journal, arXiv:2302.04617 [cond-mat.quant-gas], doi:10.1103/PhysRevA.108.023304
  11. Tomoya Naito, Gianluca Colò, Haozhao Liang, Xavier Roca-Maza, and Hiroyuki Sagawa.
    "Effects of Coulomb and isospin symmetry breaking interactions on neutron-skin thickness"
    Phys. Rev. C 107, 064302 (2023).
    Journal, arXiv:2302.08421 [nucl-th], doi:10.1103/PhysRevC.107.064302
  12. Futoshi Minato, Tomoya Naito, and Osamu Iwamoto.
    "Nuclear many-body effect on particle emissions following muon capture on \( {}^{28} \mathrm{Si} \) and \( {}^{40} \mathrm{Ca} \)"
    Phys. Rev. C 107, 054314 (2023).
    Journal, arXiv:2207.02514 [nucl-th], doi:10.1103/PhysRevC.107.054314
  13. Tomoya Naito, Tomohiro Oishi, Hiroyuki Sagawa, and Zhiheng Wang.
    "Comparative study on charge radii and their kinks at magic numbers"
    Phys. Rev. C 107, 054307 (2023).
    Journal, arXiv:2209.02857 [nucl-th], doi:10.1103/PhysRevC.107.054307
  14. Hikaru Sakakibara, Hiroyuki Tajima, and Haozhao Liang.
    "Brueckner \( G \)-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction"
    Phys. Rev. A 107, 053313 (2023).
    Journal, arXiv:2302.03446 [cond-mat.quant-gas], doi:10.1103/PhysRevA.107.053313
  15. Tingyu Zhang, Hiroyuki Tajima, Yuta Sekino, Shun Uchino, Haozhao Liang.
    "Dominant Andreev Reflection through Nonlinear Radio-Frequency Transport"
    Commun. Phys. 6, 86 (2023).
    Journal, arXiv:2204.01356 [cond-mat.quant-gas], doi:10.1038/s42005-023-01199-9
  16. Yuta Sekino, Hiroyuki Tajima, and Shun Uchino.
    "Spin conductivity spectrum and spin superfluidity in a binary Bose mixture"
    Phys. Rev. Research 5, 023058 (2023).
    Journal, arXiv:2301.03031 [cond-mat.quant-gas], doi:10.1103/PhysRevResearch.5.023058
  17. Zu-Xing Yang, Xiao-Hua Fan, Zhi-Pan Li, and Haozhao Liang.
    "A Kohn-Sham scheme based neural network for nuclear systems"
    Phys. Lett. B 840, 137870 (2023).
    Journal, doi:10.1016/j.physletb.2023.137870
  18. Hiroyuki Tajima, Yuta Sekino, Daisuke Inotani, Akira Dohi, Shigehiro Nagataki, Tomoya Hayata.
    "Non-Hermitian topological Fermi superfluid near the \( p \)-wave unitary limit"
    Phys. Rev. A 107, 033331 (2023).
    Journal, arXiv:2212.11633 [cond-mat.quant-gas], doi:10.1103/PhysRevA.107.033331
  19. Hajime Sotani and Tomoya Naito.
    "Empirical neutron star mass formula based on experimental observables"
    Phys. Rev. C 107, 035802 (2023).
    Journal, arXiv:2303.03631 [nucl-th], doi:10.1103/PhysRevC.107.035802
  20. Hiroyuki Tajima, Daigo Oue, Mamoru Matsuo, and Takeo Kato.
    "Nonequilibrium noise as a probe of pair-tunneling transport in the BCS–BEC Crossover"
    PNAS Nexus 2, pgad045 (2023).
    Journal, arXiv:2202.03873 [cond-mat.quant-gas], doi:10.1093/pnasnexus/pgad045
  21. Yixin Guo and Hiroyuki Tajima.
    "Competition between pairing and tripling in one-dimensional fermions with coexistent s- and p-wave interactions"
    Phys. Rev. B 107, 024511 (2023).
    Journal, arXiv:2210.07042 [cond-mat.quant-gas], doi:10.1103/PhysRevB.107.024511
  22. Hiroyuki Tajima, Shoichiro Tsutsui, Takahiro M. Doi, and Kei Iida.
    "Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples"
    Symmertry 15, 333 (2023).
    Journal, doi:10.3390/sym15020333

2022

  1. Tomoya Naito, Xavier Roca-Maza, Gianluca Colò, Haozhao Liang, and Hiroyuki Sagawa.
    "Isospin symmetry breaking in the charge radius difference of mirror nuclei"
    Phys. Rev. C 106, L061306 (2022).
    Journal, arXiv:2202.05035 [nucl-th], doi:10.1103/PhysRevC.106.L061306
  2. Hiroyuki Tajima, Hajime Moriya, Wataru Horiuchi, Kei Iida, and Eiji Nakano.
    "Resonance-to-bound transition of \( {}^{5} \mathrm{He} \) in neutron matter and its analogy with heteronuclear Feshbach molecule"
    Phys. Rev. C 106, 045807 (2022).
    Journal, arXiv:2207.13907 [nucl-th], doi:10.1103/PhysRevC.106.045807
  3. Yixin Guo and Hiroyuki Tajima.
    "Stability against three-body clustering in one-dimensional spinless p-wave fermions"
    Phys. Rev. A 106, 043310 (2022).
    Journal, arXiv:2208.03654 [cond-mat.quant-gas], doi:10.1103/PhysRevA.106.043310
  4. Hiroyuki Tajima and Haozhao Liang.
    "Role of the effective range in the density-induced BEC-BCS crossover"
    Phys. Rev. A 106, 043308 (2022).
    Journal, arXiv:2206.12599 [cond-mat.quant-gas], doi:10.1103/PhysRevA.106.043308
  5. Xiao-Hua Fan, Zu-Xing Yang, Peng Yin, Peng-Hui Chen, Jian-Min Dong, Zhi-Pan Li, and Haozhao Liang.
    "A local-density-approximation description of high-momentum tails in isospin asymmetric nuclei"
    Phys. Lett. B 834, 137482 (2022).
    Journal, doi: 10.1016/j.physletb.2022.137482
  6. Yuta Sekino, Hiroyuki Tajima, and Shun Uchino.
    "Optical spin conductivity in ultracold quantum gases"
    Phys. Rev. Research 4, 043014 (2022).
    Journal, arXiv:2202.05035 [nucl-th], doi:10.1103/PhysRevResearch.4.043014
  7. Tomoya Naito.
    "Relativistic correction of the Coulomb interaction in the local density approximation for energies and radii in doubly-magic nuclei"
    Prog. Theor. Exp. Phys. 2022, 093D04 (2022).
    Journal, arXiv:2106.14270 [nucl-th], doi: 10.1093/ptep/ptac122
  8. Hiroyuki Tajima, Daigo Oue, and Mamoru Matsuo.
    "Multiparticle tunneling transport at strongly correlated interfaces"
    Phys. Rev. A 106, 033310 (2022).
    Journal, arXiv:2110.11701 [cond-mat.quant-gas], doi: 10.1103/PhysRevA.106.033310
  9. Daichi Kagamihara, Ryohei Sato, Koki Manabe, Hiroyuki Tajima, Yoji Ohashi.
    "Isothermal compressibility and effects of multi-body molecular interactions in a strongly interacting ultracold Fermi gas"
    Phys. Rev. A 106, 033308 (2022).
    Journal, arXiv:2206.02406 [cond-mat.quant-gas], doi: 10.1103/PhysRevA.106.033308
  10. Z. M. Niu and H. Z. Liang.
    "Nuclear mass predictions with machine learning reaching the accuracy required by \( r \)-process studies"
    Phys. Rev. C 106, L021303 (2022).
    Journal, doi: 10.1103/PhysRevC.106.L021303
  11. Futoshi Minato, Z. M. Niu, and Haozhao Liang.
    "Calculation of \( \beta \)-decay half-lives with Skyrme Hartree-Fock-Bogoliubov+\( pn \)-QRPA and isoscalar pairing strengths optimized by a Bayesian method"
    Phys. Rev. C 106, 024306 (2022).
    Journal, arXiv:2204.06871 [nucl-th], doi: 10.1103/PhysRevC.106.024306
  12. Yixin Guo, Hiroyuki Tajima, and Haozhao Liang.
    "Biexciton-like quartet condensates in an electron-hole liquid"
    Phys. Rev. Research 4, 023152 (2022).
    Journal, arXiv:2201.03031 [cond-mat.str-el], doi: 10.1103/PhysRevResearch.4.023152
  13. Hajime Sotani, Nobuya Nishimura, and Tomoya Naito.
    "New constraints on the neutron-star mass and radius relation from terrestrial nuclear experiments"
    Prog. Theor. Exp. Phys. 2022, 041D01 (2022).
    Journal, arXiv:2203.05410 [nucl-th], doi: 10.1093/ptep/ptac055
  14. H. Sagawa, S. Yoshida, T. Naito, T. Uesaka, J. Zenihiro, J. Tanaka, and T. Suzuki.
    "Isovector density and isospin impurity in \( {}^{40} \mathrm{Ca} \)"
    Phys. Lett. B 829, 137072 (2022).
    Journal, arXiv:2112.06169 [nucl-th], doi: 10.1016/j.physletb.2022.137072
  15. Hiroyuki Tajima, Shoichiro Tsutsui, Takahiro M. Doi, and Kei Iida.
    "Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover"
    Phys. Rev. Research 4, L012021 (2022).
    Journal, arXiv:2012.03627 [cond-mat.quant-gas], doi: 10.1103/PhysRevResearch.4.L012021
  16. Yixin Guo, Hiroyuki Tajima, and Haozhao Liang.
    "Cooper quartet correlations in infinite symmetric nuclear matter"
    Phys. Rev. C 105, 024317 (2022).
    Journal, arXiv:2112.05349 [nucl-th], doi: 10.1103/PhysRevC.105.024317
  17. Hiroyuki Tajima, Yuta Sekino, and Shun Uchino.
    "Optical spin transport theory of spin-1/2 topological Fermi superfluids"
    Phys. Rev. B 105, 064508 (2022).
    Journal, arXiv:2109.14505 [cond-mat.quant-gas], doi: 10.1103/PhysRevB.105.064508
  18. Tomoya Naito, Gianluca Colò, Haozhao Liang, Xavier Roca-Maza, and Hiroyuki Sagawa.
    "Toward ab initio charge symmetry breaking in nuclear energy density functionals"
    Phys. Rev. C 105, L021304 (2022).
    Journal, arXiv:2107.14436 [nucl-th], doi: 10.1103/PhysRevC.105.L021304
  19. Naoyuki Itagaki, Tomoya Naito, and Yuichi Hirata.
    "Persistence of cluster structure in the ground state of \( {}^{11} \mathrm{B} \)"
    Phys. Rev. C 105, 024304 (2022).
    Journal, arXiv:2109.09957 [nucl-th], doi: 10.1103/PhysRevC.105.024304
  20. Asahi Chikaoka and Haozhao Liang.
    "Quantum computing for Lipkin model with unitary coupled cluster and structure learning ansatz"
    Chin. Phys. C 46, 024106 (2022).
    Journal, doi: 10.1088/1674-1137/ac380a
  21. Kazunari Ochi, Hiroyuki Tajima, Kei Iida, and Hideo Aoki.
    "Resonant pair-exchange scattering and BCS-BEC crossover in a system composed of dispersive and heavy incipient bands: a Feshbach analogy"
    Phys. Rev. Research 4, 013032 (2022).
    Journal, arxiv:2107.13805 [cond-mat.supr-con], doi: 10.1103/PhysRevResearch.4.013032
  22. Takeru Yokota and Tomoya Naito.
    "Construction of energy density functional for arbitrary spin polarization using functional renormalization group"
    Phys. Rev. B 105, 035105 (2022).
    Journal, arXiv:2108.10787 [cond-mat.str-el], doi: 10.1103/PhysRevB.105.035105

2021

  1. H. Moriya, H. Tajima, W. Horiuchi, K. Iida, E. Nakano.
    "Binding two and three-\( \alpha \) particles in cold neutron matter"
    Phys. Rev. C 104, 065801 (2021).
    Journal, arXiv:2106.14469 [nucl-th], doi: 10.1103/PhysRevC.104.065801
  2. Hiroyuki Tajima, Shoichiro Tsutsui, Takahiro M. Doi, and Kei Iida.
    "Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance"
    Phys. Rev. A 104, 053328 (2021).
    Journal, arxiv:2107.13232 [cond-mat.quant-gas], doi: 10.1103/PhysRevA.104.053328
  3. Tomohiro Hata, Eiji Nakano, Kei Iida, Hiroyuki Tajima, and Junichi Takahashi.
    "Dissipation-relaxation dynamics of a spin-1/2 particle with a Rashba-type spin-orbit coupling in an ohmic heat bath"
    Phys. Rev. B 104, 144424 (2021).
    Journal, arxiv:2108.06465 [cond-mat.stat-mech], doi: 10.1103/PhysRevB.104.144424
  4. Sora Akagami, Hiroyuki Tajima, and Kei Iida.
    "Condensation of Cooper triples"
    Phys. Rev. A 104, L041302 (2021).
    Journal, arxiv:2102.03701 [cond-mat.quant-gas], doi: 10.1103/PhysRevA.104.L041302
  5. Tomoya Naito, Shimpei Endo, Kouichi Hagino, and Yusuke Tanimura.
    "On deformability of atoms—comparative study between atoms and atomic nuclei"
    J. Phys. B 54, 165201 (2021).
    Journal, arxiv:2009.05955 [physics:atom-ph], doi:10.1088/1361-6455/ac170c
  6. Hiroyuki Tajima, Shoichiro Tsutsui, Takahiro M. Doi, and Kei Iida.
    "Unitary \( p \)-wave Fermi gas in one dimension"
    Phys. Rev. A 104, 023319 (2021).
    Journal, arxiv:2106.12909 [cond-mat.quant-gas], doi: 10.1103/PhysRevA.104.023319
  7. Takahiro M. Doi, Hiroyuki Tajima, and Shoichiro Tsutsui.
    "Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas"
    Phys. Rev. Research 3, 033180 (2021).
    Journal, arxiv:2105.11072 [cond-mat.quant-gas], doi: 10.1103/PhysRevResearch.3.033180
  8. Tomoya Naito, Gianluca Colò, and Haozhao Liang, and Xavier Roca-Maza.
    "Second and fourth moments of the charge density and neutron-skin thickness of atomic nuclei"
    Phys. Rev. C 104, 024316 (2021).
    Journal, arxiv:2101.07680 [nucl-th], doi: 10.1103/PhysRevC.104.024316
  9. Zhiheng Wang, Tomoya Naito, and Haozhao Liang.
    "Tensor-force effects on shell-structure evolution in \( N = 82 \) isotones and \( Z = 50 \) isotopes in the relativistic Hartree-Fock theory"
    Phys. Rev. C 103, 064326 (2021).
    Journal, arxiv:2012.13143 [nucl-th], doi: 10.1103/PhysRevC.103.064326
  10. Zhiheng Wang, Tomoya Naito, Haozhao Liang, and Wen Hui Long.
    "Exploring effects of tensor force and its strength via neutron drops"
    Chin. Phys. C 45, 064103 (2021).
    Journal, arxiv:2101.04860 [nucl-th], doi: 10.1088/1674-1137/abf036
  11. Junichi Takahashi, Hiroyuki Tajima, Eiji Nakano, and Kei Iida.
    "Extracting nonlocal interpolaron interactions from collisional dynamics"
    Phys. Rev. A 103, 043334 (2021).
    Journal, arxiv:2011.07911 [cond-mat.quant-gas], doi: 10.1103/PhysRevA.103.043334
  12. Hirotaka Irie, Haozhao Liang, Takumi Doi, Shinya Gongyo, Tetsuo Hatsuda.
    "Hybrid Quantum Annealing via Molecular Dynamics"
    Sci. Rep. 11, 8426 (2021).
    Journal, arxiv:2004.03972 [quant-ph], doi: 10.1038/s41598-021-87676-z
  13. Giacomo Accorto, Tomoya Naito, Haozhao Liang, Tamara Nikšić, and Dario Vretenar.
    "Nuclear energy density functionals from empirical ground-state densities"
    Phys. Rev. C 103, 044304 (2021).
    Journal, arxiv:2103.10096 [nucl-th], doi: 10.1103/PhysRevC.103.044304
  14. Naoyuki Itagaki and Tomoya Naito.
    "Consistent description for cluster dynamics and single-particle correlation"
    Phys. Rev. C 103, 044303 (2021).
    Journal, arxiv:2011.12642 [nucl-th], doi: 10.1103/PhysRevC.103.044303
  15. Takeru Yokota and Tomoya Naito.
    "Ab initio construction of the energy density functional for electron systems with the functional-renormalization-group-aided density functional theory"
    Phys. Rev. Research 3, L012015 (2021).
    Journal, arxiv:2010.07172 [cond-mat.str-el], doi: 10.1103/PhysRevResearch.3.L012015

2020

  1. Yoichi Tanabe, Yoshikazu Ito, Katsuaki Sugawara, Mikito Koshino, Shojiro Kimura, Tomoya Naito, Isaac Johnson, Takashi Takahashi, and Mingwei Chen.
    "Dirac Fermion kinetics in three-dimensionally curved graphene"
    Adv. Mater. 32, 2005838 (2020).
    Journal, arxiv:2010.03601 [cond-mat.mes-hall], doi:10.1002/adma.202005838
  2. Tomoya Naito, Ryosuke Akashi, Haozhao Liang, and Shinji Tsuneyuki.
    "Relativistic density functional theory with finite-light-speed correction for the Coulomb interaction: A non-relativistic reduction based approach"
    J. Phys. B 53, 215002 (2020).
    Journal, arxiv:1911.10670 [physics.comp-ph], doi:10.1088/1361-6455/abaca6
  3. Maureen Ciccarelli, Futoshi Minato, and Tomoya Naito.
    "Theoretical study of Nb isotope productions by muon capture reaction on \( {}^{100} \mathrm{Mo} \)"
    Phys. Rev. C 102, 034306 (2020).
    Journal, arxiv:1911.04084 [nucl-th], doi:10.1103/PhysRevC.102.034306
  4. Xun Liu and Tsukasa Tada.
    "Analysis for Lorentzian conformal field theories through sine-square deformation"
    Prog. Theor. Exp. Phys. 2020, 061B01 (2020).
    Journal, arxiv:2004.01930 [hep-th], doi:10.1093/ptep/ptaa077
  5. Tomoya Naito, Xavier Roca-Maza, Gianluca Colò, and Haozhao Liang.
    "Effects of finite nucleon size, vacuum polarization, and electromagnetic spin-orbit interaction on nuclear binding energies and radii in spherical nuclei"
    Phys. Rev. C 101, 064311 (2020).
    Journal, arxiv:2003.03177 [nucl-th], doi:10.1103/PhysRevC.101.064311
  6. Zhiheng Wang, Tomoya Naito, Haozhao Liang, and Wen Hui Long.
    "Self-consistent random-phase approximation based on the relativistic Hartree-Fock theory: Role of \( \rho \)-tensor coupling"
    Phys. Rev. C 101, 064306 (2020).
    Journal, doi: 10.1103/PhysRevC.101.064306
  7. Yixin Guo and Haozhao Liang.
    "Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by reconstituted Foldy-Wouthuysen transformation"
    Phys. Rev. C 101, 024304 (2020).
    Journal, arxiv:2001.00117 [nucl-th], doi: 10.1103/PhysRevC.101.024304

2019

  1. Tomoya Naito, Daisuke Ohashi, and Haozhao Liang.
    "Improvement of Functionals in Density Functional Theory by the Inverse Kohn-Sham Method and Density Functional Perturbation Theory"
    J. Phys. B 52, 245003 (2019).
    Journal, arxiv:1812.09285 [physics.chem-ph], doi: 10.1088/1361-6455/ab4eef
  2. Yixin Guo and Haozhao Liang.
    "Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by reconstituted Foldy-Wouthuysen transformation"
    Chin. Phys. C 43, 114105 (2019).
    Journal, arxiv:1906.08820 [nucl-th], doi: 10.1088/1674-1137/43/11/114105
  3. C. Ma, Z. Li, Z.M. Niu, and H.Z. Liang.
    "Influence of nuclear mass uncertainties on radiative neutron-capture rates"
    Phys. Rev. C 100, 024330 (2019).
    Journal, doi: 10.1103/PhysRevC.100.024330
  4. Z.M. Niu, H.Z. Liang, B.H. Sun, W.H. Long, and Y.F. Niu.
    "Predictions of nuclear \( \beta \)-decay half-lives with machine learning and their impact on \( r \)-process nucleosynthesis"
    Phys. Rev. C 99, 064307 (2019).
    Journal, arxiv:1810.03156 [nucl-th], doi: 10.1103/PhysRevC.99.064307
  5. Yixin Guo and Haozhao Liang.
    "Nonrelativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization group"
    Phys. Rev. C 99, 054324 (2019).
    Journal, arxiv:1904.04418 [nucl-th], doi: 10.1103/PhysRevC.99.054324
  6. Min Shi, Zhong-Ming Niu, and Hao-Zhao Liang.
    "Mass predictions of relativistic continuum Hartree-Bogoliubov model with radial basis function approach"
    Chin. Phys. C 43, 074104 (2019).
    Journal, doi: 10.1088/1674-1137/43/7/074104
  7. Takeru Yokota and Tomoya Naito.
    "Functional-renormalization-group aided density-functional analysis for the correlation energy of the two-dimensional homogeneous electron gas"
    Phys. Rev. B 99, 115106 (2019). Journal, arxiv:1812.00588 [cond-mat.str-el], doi: 10.1103/PhysRevB.99.115106
  8. Tomoya Naito, Xavier Roca-Maza, Gianluca Colò, and Haozhao Liang.
    "Coulomb exchange functional with generalized gradient approximation for self-consistent Skyrme Hartree-Fock calculations"
    Phys. Rev. C 99, 024309 (2019).
    Journal, arxiv:1810.02500 [nucl-th], doi: 10.1103/PhysRevC.99.024309

2018

  1. Zhiheng Wang, Qiang Zhao, Haozhao Liang, and Wen Hui Long.
    "Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory"
    Phys. Rev. C 98, 034313 (2018).
    Journal, arxiv:1806.11270 [nucl-th], doi: 10.1103/PhysRevC.98.034313
  2. Ke-Meng Ding, Min Shi, Jian-You Guo, Zhong-Ming Niu, and Haozhao Liang.
    "Resonant-continuum relativistic mean-field plus BCS in complex momentum representation"
    Phys. Rev. C 98, 014316 (2018).
    Journal, doi: 10.1103/PhysRevC.98.014316
  3. H.Z. Liang, H. Sagawa, M. Sasano, T. Suzuki, and M. Honma.
    "Gamow-Teller transitions from high-spin isomers in \( N = Z \) nuclei"
    Phys. Rev. C 98, 014311 (2018).
    Journal, arxiv:1801.09076 [nucl-th], doi: 10.1103/PhysRevC.98.014311
  4. Min Shi, Zhong-Ming Niu, and Haozhao Liang.
    "Combination of complex momentum representation and Green's function methods in relativistic mean-field theory"
    Phys. Rev. C 97, 064301 (2018).
    Journal, arxiv:1802.00159 [nucl-th], doi: 10.1103/PhysRevC.97.064301
  5. Shihang Shen, Haozhao Liang, Jie Meng, Peter Ring, and Shuangquan Zhang.
    "Relativistic Brueckner-Hartree-Fock theory for neutron drops"
    Phys. Rev. C 97, 054312 (2018).
    Journal, arxiv:1802.08108 [nucl-th], doi: 10.1103/PhysRevC.97.054312
  6. Tomoya Naito, Ryosuke Akashi, and Haozhao Liang.
    "Application of a Coulomb energy density functional for atomic nuclei: Case studies of local density approximation and generalized gradient approximation"
    Phys. Rev. C 97, 044319 (2018).
    Journal, arxiv:1712.06490 [nucl-th], doi: 10.1103/PhysRevC.97.044319
  7. Zhongming Niu, Haozhao Liang, Baohua Sun, Yifei Niu, Jianyou Guo, and Jie Meng.
    "High precision nuclear mass predictions towards a hundred kilo-electron-volt accuracy"
    Sci. Bulletin 63, 759 (2018).
    Journal, doi: 10.1016/j.scib.2018.05.009
  8. Shihang Shen, Haozhao Liang, Jie Meng, Peter Ring, and Shuangquan Zhang.
    "Spin symmetry in the Dirac Sea derived from the bare nucleon-nucleon interaction"
    Phys. Lett. B 781, 227 (2018).
    Journal, arxiv:1802.08110 [nucl-th], doi: 10.1016/j.physletb.2018.03.080
  9. Haozhao Liang, Yifei Niu, and Tetsuo Hatsuda.
    "Functional renormalization group and Kohn-Sham scheme in density functional theory"
    Phys. Lett. B 779, 436 (2018).
    Journal, arxiv:1710.00650 [cond-mat.str-el], doi: 10.1016/j.physletb.2018.02.034
  10. Shihang Shen, Haozhao Liang, Jie Meng, Peter Ring, and Shuangquan Zhang.
    "Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations"
    Phys. Lett. B 778, 344 (2018).
    Journal, arxiv:1709.06289 [nucl-th], doi: 10.1016/j.physletb.2018.01.058
  11. Z.M. Niu and H.Z. Liang.
    "Nuclear mass predictions based on Bayesian neural network approach with pairing and shell effects"
    Phys. Lett. B 778, 48 (2018).
    Journal, arxiv:1801.04411 [nucl-th], doi: 10.1016/j.physletb.2018.01.002
  12. X.W. Xia, Y. Lim, P.W. Zhao, H.Z. Liang, X.Y. Qu, Y. Chen, H. Liu, L.F. Zhang, S.Q. Zhang, Y. Kim, and J. Meng.
    "The limits of the nuclear landscape explored by the relativistic continuum Hartree-Bogoliubov theory"
    At. Data Nucl. Data Tables 121, 1 (2018).
    Journal, doi: 10.1016/j.adt.2017.09.001

2017

  1. Shihang Shen, Haozhao Liang, Jie Meng, Peter Ring, and Shuangquan Zhang.
    "Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei"
    Phys. Rev. C 96, 014316 (2017).
    Journal, arxiv:1705.01691 [nucl-th], doi: 10.1103/PhysRevC.96.014316
  2. Z.M. Niu, Y.F. Niu, H.Z. Liang, W.H. Long, and J. Meng.
    "Self-consistent relativistic quasiparticle random-phase approximation and its applications to charge-exchange excitations"
    Phys. Rev. C 95, 044301 (2017).
    Journal, arxiv:1604.07011 [nucl-th], doi: 10.1103/PhysRevC.95.044301
  3. Zhi Fang, Min Shi, Jian-You Guo, Zhong-Ming Niu, Haozhao Liang, and Shi-Sheng Zhang.
    "Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation method"
    Phys. Rev. C 95, 024311 (2017).
    Journal, arxiv:1612.00527 [nucl-th], doi: 10.1103/PhysRevC.95.024311

2016

  1. Z.M. Niu, B.H. Sun, H.Z. Liang, J. Meng, P. Ring, and S.Q. Zhang.
    "Improved radial basis function approach with odd-even corrections"
    Phys. Rev. C 94, 054315 (2016).
    Journal, arxiv:1607.02075 [nucl-th], doi: 10.1103/PhysRevC.94.054315
  2. Shi-Hang Shen, Jin-Niu Hu, Hao-Zhao Liang, Jie Meng, Peter Ring, and Shuang-Quan Zhang.
    "Relativistic Brueckner-Hartree-Fock Theory for Finite Nuclei"
    Chin. Phys. Lett. 33, 102103 (2016).
    Journal, arxiv:1609.01866 [nucl-th], doi: 10.1088/0256-307X/33/10/102103
  3. Niu Li, Min Shi, Jian-You Guo, Zhong-Ming Niu, and Haozhao Liang.
    "Probing the Resonance of Dirac Equation with Complex Momentum Representation"
    Phys. Rev. Lett. 117, 062502 (2016).
    Journal, arxiv:1608.01046 [nucl-th], doi: 10.1103/PhysRevLett.117.062502

2015

  1. Y. Tanimura, K. Hagino, and H.Z. Liang.
    "3D mesh calculations for covariant density functional theory"
    Prog. Theor. Exp. Phys. 2015, 073D01 (2015).
    Journal, arxiv:1411.7804 [nucl-th], doi: 10.1093/ptep/ptv083

2014

  1. Haozhao Liang, Takashi Nakatsukasa, Zhongming Niu, and Jie Meng.
    "Finite-amplitude method: An extension to the covariant density functionals"
    Phys. Scr. 89, 054018 (2014).
    Journal, arxiv:1312.4264 [nucl-th], doi: 10.1088/0031-8949/89/5/054018
  2. Nguyen Van Giai, Haozhao Liang, Huai-Qiang Gu, Wenhui Long, and Jie Meng.
    "Treating Coulomb exchange contributions in relativistic mean field calculations: why and how"
    Phys. Scr. 89, 054008 (2014).
    Journal, arxiv:1405.3818 [nucl-th], doi: 10.1088/0031-8949/89/5/054008

2013

  1. Shihang Shen, Haozhao Liang, Pengwei Zhao, Shuangquan Zhang, and Jie Meng.
    "Pseudospin symmetry in supersymmetric quantum mechanics. II. Spin-orbit effects"
    Phys. Rev. C 88, 024311 (2013).
    Journal, arxiv:1308.1143 [nucl-th], doi: 10.1103/PhysRevC.88.024311
  2. Z.M. Niu, Y.F. Niu, Q. Liu, H.Z. Liang, and J.Y. Guo.
    "Nuclear \( \beta^{+} \)/EC decays in covariant density functional theory and the impact of isoscalar proton-neutron pairing"
    Phys. Rev. C 87, 051303(R) (2013).
    Journal, arxiv:1305.5387 [nucl-th], doi: 10.1103/PhysRevC.87.051303
  3. Haozhao Liang, Takashi Nakatsukasa, Zhongming Niu, and Jie Meng.
    "Feasibility of the finite-amplitude method in covariant density functional theory"
    Phys. Rev. C 87, 054310 (2013).
    Journal, arxiv:1304.3953 [nucl-th], doi: 10.1103/PhysRevC.87.054310
  4. Z.M. Niu, Y.F. Niu, H.Z. Liang, W.H. Long, T. Nikšić, D. Vretenar, and J. Meng.
    "\( \beta \)-decay half-lives of neutron-rich nuclei and matter flow in the \( r \)-process"
    Phys. Lett. B 723, 172 (2013).
    Journal, arxiv:1210.0680 [nucl-th], doi: 10.1016/j.physletb.2013.04.048
  5. Huai-Qiang Gu, Haozhao Liang, Wen Hui Long, Nguyen Van Giai, and Jie Meng.
    "The Slater approximation for Coulomb exchange effects in nuclear covariant density functional theory"
    Phys. Rev. C 87, 041301(R) (2013).
    Journal, arxiv:1210.3162 [nucl-th], doi: 10.1103/PhysRevC.87.041301
  6. Haozhao Liang, Shihang Shen, Pengwei Zhao, and Jie Meng.
    "Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations"
    Phys. Rev. C 87, 014334 (2013).
    Journal, arxiv:1207.6211 [nucl-th], doi: 10.1103/PhysRevC.87.014334

2012

  1. Haozhao Liang, Pengwei Zhao, Peter Ring, Xavier Roca-Maza, and Jie Meng.
    "Localized form of Fock terms in nuclear covariant density functional theory"
    Phys. Rev. C 86, 021302(R) (2012).
    Journal, arxiv:1207.6206 [nucl-th], doi: 10.1103/PhysRevC.86.021302
  2. Haozhao Liang, Pengwei Zhao, and Jie Meng.
    "Fine structure of charge-exchange spin-dipole excitations in \( {}^{16} \mathrm{O} \)"
    Phys. Rev. C 85, 064302 (2012).
    Journal, arxiv:1201.0071 [nucl-th], doi: 10.1103/PhysRevC.85.064302
  3. Ying Chen, Lulu Li, Haozhao Liang, and Jie Meng.
    "Density-dependent deformed relativistic Hartree-Bogoliubov theory in continuum"
    Phys. Rev. C 85, 067301 (2012).
    Journal, arxiv:1204.5272 [nucl-th], doi: 10.1103/PhysRevC.85.067301
  4. P.W. Zhao, J. Peng, H.Z. Liang, P. Ring and J. Meng.
    "Covariant density functional theory for antimagnetic rotation"
    Phys. Rev. C 85, 054310 (2012).
    Journal, arxiv:1205.0867 [nucl-th], doi: 10.1103/PhysRevC.85.054310

2011

  1. P.W. Zhao, J. Peng, H.Z. Liang, P. Ring, and J. Meng.
    "Antimagnetic Rotation Band: A Microscopic Description"
    Phys. Rev. Lett. 107, 122501 (2011).
    Journal, arxiv:1105.3622 [nucl-th], doi: 10.1103/PhysRevLett.107.122501
  2. Haozhao Liang, Pengwei Zhao, Ying Zhang, Jie Meng, and Nguyen Van Giai.
    "Perturbative interpretation of relativistic symmetries in nuclei"
    Phys. Rev. C 83, 041301(R) (2011).
    Journal, arxiv:1004.2320 [nucl-th], doi: 10.1103/PhysRevC.83.041301
  3. Haozhao Liang, Pengwei Zhao, Ying Zhang, Lulu Li, and Jie Meng.
    "Spin-orbit and orbit-orbit strengths for radioactive neutron-rich doubly magic nucleus \( {}^{132} \mathrm{Sn} \) in relativistic mean field theory"
    Phys. Rev. C 83, 011302(R) (2011).
    Journal, doi: 10.1103/PhysRevC.83.011302
  4. P.W. Zhao, S.Q. Zhang, J. Peng, H.Z. Liang, P. Ring, and J. Meng.
    "Novel structure for magnetic rotation bands in \( {}^{60} \mathrm{Ni} \)"
    Phys. Lett. B 699, 181 (2011).
    Journal, doi: 10.1016/j.physletb.2011.03.068
  5. FangQiong Li, Ying Zhang, HaoZhao Liang, and Jie Meng.
    "Optimization of the imaginary time step evolution for the Dirac equation"
    Sci. China Phys. Mech. Astron. 54, 231 (2011).
    Journal, doi: 10.1007/s11433-010-4216-6
  6. Fang-Qiong Li, Peng-Wei Zhao, and Hao-Zhao Liang.
    "Perturbative pseudospin symmetry limit with linear spin-orbit potential"
    Chin. Phys. C 35, 825 (2011).
    Journal, doi: 10.1088/1674-1137/35/9/007

2010

  1. M. Moreno-Torres, M. Grasso, H. Liang, V. De Donno, M. Anguiano, and N. Van Giai.
    "Tensor effects in shell evolution at \( Z \), \( N = 8 \), \( 20 \), and \( 28 \) using non-relativistic and relativistic mean field"
    Phys. Rev. C 81, 064327 (2010).
    Journal, doi: 10.1103/PhysRevC.81.064327
  2. Haozhao Liang, Wen Hui Long, Jie Meng, and Nguyen Van Giai.
    "Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory"
    Eur. Phys. J. A 44, 119 (2010).
    Journal, arxiv:1002.3309 [nucl-th], doi: 10.1140/epja/i2010-10938-6
  3. Ying Zhang, Haozhao Liang, and Jie Meng.
    "Avoid the Tsunami of the Dirac sea in the Imaginary Time Step method"
    Int. J. Mod. Phys. E 19, 55 (2010).
    Journal, arxiv:0905.2505 [nucl-th], doi: 10.1142/S0218301310014637
  4. Wei Zhang, Hao-Zhao Liang, Shuang-Quan Zhang, and Jie Meng.
    "Search for Ring-Like Nuclei under Extreme Conditions"
    Chin. Phys. Lett. 27, 102103 (2010).
    Journal, doi: 10.1088/0256-307X/27/10/102103

2009

  1. Haozhao Liang, Nguyen Van Giai, and Jie Meng.
    "Isospin corrections for superallowed Fermi \( \beta \) decay in self-consistent relativistic random-phase approximation approaches"
    Phys. Rev. C 79, 064316 (2009).
    Journal, arxiv:0904.3673 [nucl-th], doi: 10.1103/PhysRevC.79.064316
  2. Ying Zhang, Hao-Zhao Liang, and Jie Meng.
    "Solving the Dirac Equation with Nonlocal Potential by Imaginary Time Step Method"
    Chin. Phys. Lett. 26, 092401 (2009).
    Journal, arxiv:0910.4078 [nucl-th], doi: 10.1088/0256-307X/26/9/092401
  3. Yi-Fei Niu, Hao-Zhao Liang, and Jie Meng.
    "Stability of Strutinsky Shell Correction Energy in Relativistic Mean Field Theory"
    Chin. Phys. Lett. 26, 032103 (2009).
    Journal, arxiv:0910.4463 [nucl-th], doi: 10.1088/0256-307X/26/3/032103

2008

  1. Haozhao Liang, Nguyen Van Giai, and Jie Meng.
    "Spin-Isospin Resonances: A Self-Consistent Covariant Description"
    Phys. Rev. Lett. 101, 122502 (2008).
    Journal, arxiv:0808.3159 [nucl-th], doi: 10.1103/PhysRevLett.101.122502
  2. Dimitar Tarpanov, Haozhao Liang, Nguyen Van Giai, and Chavdar Stoyanov.
    "Mean-field study of single-particle spectra evolution in \( Z = 14 \) and \( N = 28 \) chains"
    Phys. Rev. C 77, 054316 (2008).
    Journal, arxiv:0802.3622 [nucl-th], doi: 10.1103/PhysRevC.77.054316

レビュー論文

  1. 田島裕之, 仲野英司.
    "ポーラロン"
    原子核研究 68, (2) 52 (2024).
  2. 田島裕之.
    "量子シミュレータ"
    原子核研究 66, (1) 44 (2021).
  3. Shihang Shen, Haozhao Liang, Wen Hui Long, Jie Meng, and Peter Ring.
    "Towards an ab initio covariant density functional theory for nuclear structure"
    Prog. Part. Nucl. Phys. 109, 103713 (2019).
    Journal, arxiv:1904.04977 [nucl-th], doi: 10.1016/j.ppnp.2019.103713
  4. Haozhao Liang.
    "Pseudospin symmetry in nuclear structure and its supersymmetric representation"
    Phys. Scr. 91, 083005 (2016).
    Journal, arxiv:1606.08570 [nucl-th], doi: 10.1088/0031-8949/91/8/083005
  5. Haozhao Liang, Jie Meng, and Shan-Gui Zhou.
    "Hidden pseudospin and spin symmetries and their origins in atomic nuclei"
    Phys. Rep. 570, 1 (2015).
    Journal, arxiv:1411.6774 [nucl-th], doi: 10.1016/j.physrep.2014.12.005
  6. Jie Meng, Jian-You Guo, Jian Li, Zhi-Pan Li, Hao-Zhao Liang, Wen-Hui Long, Yi-Fei Niu, Zhong-Ming Niu, Jiang-Ming Yao, Ying Zhang, Peng-Wei Zaho, and Shan-Gui Zhou.
    (孟杰、郭建友、李剑、李志攀、梁豪兆、龙文辉、牛一斐、牛中明、尧江明、张颖、赵鹏巍、周善贵)
    "Covariant Density Functional Theory in Nuclear Physics" 《原子核物理中的协变密度泛函理论》 (in Chinese)
    Prog. Phys. (物理学进展) 31, 199 (2011).
    Journal

学会誌記事

  1. Tomoya Naito, Kouichi Hagino, and Yoshihiko Kobayashi.
    (内藤智也, 萩野浩一, 小林良彦)
    "History of Sign Convention of Isospin" 「アイソスピンの符号の慣習をめぐって」 (In Japanese)
    Butsuri (日本物理学会誌) 77, 99 (2022).
    Journal, doi: 10.11316/butsuri.77.2_99

書籍

  1. Jian-You Guo, Hao Zhao Liang, Jie Meng, and Shan-Gui Zhou.
    "Relativistic symmetries in nuclear single-particle spectra"
    Relativistic Density Functional for Nuclear Structure (World Scientific, edited by Jie Meng) pages 219 –262 (2016).
    Publisher's website, doi: 10.1142/9789814733267_0006

プロシーディングス等

2024

  1. Tomoya Naito, Gianluca Colò, Tetsuo Hatsuda, Haozhao Liang, Xavier Roca-Maza, and Hiroyuki Sagawa.
    "Possible inconsistency between phenomenological and theoretical determinations of charge symmetry breaking in nuclear energy density functionals"
    Nuovo Cim. C 47, 52 (2024).
    Journal, arXiv:2309.17060 [nucl-th], doi: 10.1393/ncc/i2024-24052-9
    The 7th International Conference on Collective Motion in Nuclei under Extreme Conditions (COMEX7) (Catania, Italy)

2023

  1. Koji Hashimoto, Tomoya Naito, and Hisashi Naito.
    "Neural Polytopes"
    Journal, arXiv:2307.00721 [cs.LG]
    1st Workshop on the Synergy of Scientific and Machine Learning Modeling (SynS & ML) at 40th International Conference on Machine Learning (ICML2023) (Honolulu, Hawaii, United States of America)

2022

  1. Hajime Moriya, Hiroyuki Tajima, Wataru Horiuchi, Kei Iida, Eiji Nakano.
    "Structure of two- and three-alpha systems in cold neutron matter"
    EPJ Web Conf. 260, 11045 (2022).
    Journal, arXiv:2112.07113 [nucl-th], doi: 10.1051/epjconf/202226011045
    The 16th International Symposium on Nuclei in the Cosmos (NIC-XVI) (Chengdu, China)

2020

  1. Tomoya Naito, Daisuke Ohashi, and Haozhao Liang.
    "How to Improve Functionals in Density Functional Theory? —Formalism and Benchmark Calculation—"
    J. Phys. Conf. Ser. 1643, 012149 (2020).
    Journal, arxiv:1908.09063 [physics.chem-ph], doi: 10.1088/1742-6596/1643/1/012149
    International Nuclear Physics Conference 2019 (INPC2019) (Glasgow, United Kingdom)
  2. Haozhao Liang.
    "Nuclear density functional theory: From fundamentals to frontiers"
    Gensikaku Kenkyu (原子核研究) 64, (S1) 5 (2020).
    YONUPA summer school 2019 (Takashima, Shiga, Japan)

2019

  1. Tomoya Naito, Ryosuke Akashi, Gianluca Colò, Haozhao Liang, and Xavier Roca-Maza.
    "Coulomb Energy Density Functionals for Nuclear Systems: Recent Studies of Coulomb Exchange and Correlation Functionals"
    EPJ Web Conf. 223, 01044 (2019).
    Journal, arxiv:1907.04772 [nucl-th], doi: 10.1051/epjconf/201922301044
    IV International Conference on Nuclear Structure and Dynamics (NSD2019) (Venice, Italy)

2018

  1. Haozhao Liang, Shihang Shen, and Zhiheng Wang.
    "Effects of Tensor Force in Covariant Density Functional Theory" (in Chinese)
    Nucl. Phys. Rev. 35, 390 (2018).
    17th National Conference on Nuclear Structure in China (Dalian, Liaoning, China)
  2. Shihang Shen, Haozhao Liang, Jie Meng, Peter Ring, and Shuangquan Zhang.
    "Effects of tensor force in the relativistic scheme: A case study of neutron drops"
    JPS Conf. Proc. 23, 012005 (2018).
    Journal, doi: 10.7566/JPSCP.23.012005
    Ito International Research Center Symposium "Perspectives of the Physics of Nuclear Structure" (Tokyo, Japan)

2016

  1. Haozhao Liang.
    "Microscopic studies on nuclear spin-isospin properties — a personal perspective on covariant density functional theory"
    PoS 281, 361 (2016).
    Journal, arxiv:1703.08347 [nucl-th], doi: 10.22323/1.281.0361
    International Nuclear Physics Conference 2016 (INPC2016) (Adelaide, Australia)
  2. X. Roca-Maza, G. Colò, H.Z. Liang, J. Meng, P. Ring, H. Sagawa, and P.W. Zhao.
    "Towards the improvement of spin-isospin properties in nuclear energy density functionals"
    J. Phys. Conf. Ser. 724, 012401 (2016).
    Journal, doi: 10.1088/1742-6596/724/1/012041
    XXI International School on Nuclear Physics and Application & International Symposium on Exotic Nuclei (ISEN-2015) (Varna, Bulgaria)

2015

  1. Yusuke Tanimura, Kouichi Hagino, and Haozhao Liang.
    "Three-dimensional mesh calculations for covariant density functional theory"
    AIP Conf. Proc. 1681, 030008 (2015).
    Journal, doi: 10.1063/1.4932252
    International Conference on Nuclear Structure and Dynamics (NSD2015) (Portoroz, Slovenia)

2014

  1. Haozhao Liang, Jie Meng, Shihang Shen, Nguyen Van Giai, Shuangquan Zhang, Ying Zhang, and Pengwei Zhao.
    "Pseudospin symmetry: Recent progress with supersymmetric quantum mechanics"
    J. Phys. Conf. Ser. 533, 012020 (2014).
    Journal, arxiv:1310.5404 [nucl-th], doi: 10.1088/1742-6596/533/1/012020
    XX International School on Nuclear Physics and Application (Varna, Bulgaria)
  2. P.W. Zhao, H.Z. Liang, J. Meng, J. Peng, P. Ring, L.F. Yu, and S.Q. Zhang.
    "Tilted axis cranking covariant density functional theory and its applications"
    EPJ Web Conf. 66, 02114 (2014).
    Journal, doi: 10.1051/epjconf/20146602114
    International Nuclear Physics Conference 2013 (INPC2013) (Florence, Italy)
  3. H.Z. Liang, J. Meng, T. Nakatsukasa, Z.M. Niu, P. Ring, X. Roca-Maza, N. Van Giai, and P.W. Zhao.
    "Nuclear charge-exchange excitations in localized covariant density functional theory"
    EPJ Web Conf. 66, 02064 (2014).
    Journal, arxiv:1310.3918 [nucl-th], doi: 10.1051/epjconf/20146602064
    International Nuclear Physics Conference 2013 (INPC2013) (Florence, Italy)

2013

  1. P.W. Zhao, S.Q. Zhang, J. Peng, H.Z. Liang, P. Ring, and J. Meng.
    "Microscopic Description for the Nuclear Magnetic and Antimagnetic Rotation"
    Fission and Properties of Neutron-Rich Nuclei (World Scientific), 658 (2013).
    Journal, doi: 10.1142/9789814525435_0079
    5th International Conference on "Fission and properties of neutron-rich nuclei" (Sanibel Island, Florida, USA)
  2. J. Meng, Y. Chen, H.Z. Liang, Y.F. Niu, Z.M. Niu, L.S. Song, P.W. Zhao, Z. Li, B. Sun, X.D. Xu, Z.P. Li, J.M. Yao, W.H. Long, T. Nikšić, and D. Vretenar.
    "Mass and lifetime of unstable nucleus in covariant density functional theory"
    Phys. Scr. T154, 014010 (2013).
    Journal, doi: 10.1088/0031-8949/2013/T154/014010
    19th Nuclear Physics Workshop "Maria and Pierre Curie" (Kazimierz Dolny, Poland)
  3. Y. Chen, L.L. Li, Z.P. Li, H.Z. Liang, W.H. Long, P. Ring, N. Van Giai, J.M. Yao, S.Q. Zhang, Y. Zhang, P.W. Zhao, S.G. Zhou, and J. Meng.
    "Covariant density functional theory for exotic nuclei near the neutron drip-line"
    J. Phys. Conf. Ser. 413, 012005 (2013).
    Journal, doi: 10.1088/1742-6596/413/1/012005
    International Summer School for Adcanced Studies "Dynamics of open nuclear systems" (Predeal, Romania)

2012

  1. H.Z. Liang, J. Meng, N. Van Giai, and P.W. Zhao.
    "Fine Structure of Spin-Dipole Excitations: A Recent Application of Covariant Density Functional Theory"
    Nuclear Structure in China 2012 (World Scientific), 146 (2012).
    Journal, doi: 10.1142/9789814447485_0026
    14th National Conference on Nuclear Structure in China (Huzhou, Zhejiang, China)
  2. Jixuan Wei, Jian Li, Haozhao Liang, and Jie Meng.
    "Nuclear Magnetic Moments of \( {}^{133} \mathrm{Sb} \) in Covariant Density Functional Theory"
    Nuclear Structure in China 2012 (World Scientific), 248 (2012).
    Journal, doi: 10.1142/9789814447485_0046
    14th National Conference on Nuclear Structure in China (Huzhou, Zhejiang, China)
  3. H.Z. Liang, J. Meng, P. Ring, X. Roca-Maza, and P.W. Zhao.
    "Local covariant density functional constrained by the relativistic Hartree-Fock theory"
    AIP Conf. Proc. 1491, 230 (2012).
    Journal, arxiv:1210.7579 [nucl-th], doi: 10.1063/1.4764245
    International Conference on Nuclear Structure and Dynamics (NSD2012) (Opatija, Croatia)
  4. P.W. Zhao, H.Z. Liang, J. Peng, P. Ring, S.Q. Zhang, and J. Meng.
    "Magnetic and antimagnetic rotation in covariant density functional theory"
    AIP Conf. Proc. 1491, 152 (2012).
    Journal, doi: 10.1063/1.4764227
    International Conference on Nuclear Structure and Dynamics (NSD2012) (Opatija, Croatia)
  5. Haozhao Liang, Lulu Li, and Lang Liu.
    "International Summer School on Subatomic Physics — 6th Course: New Frontiers of Nuclear Physics"
    Nuclear Physics News 22, (2) 34 (2012).
    Journal, doi: 10.1080/10619127.2012.659148

2011

  1. Haozhao Liang, Nguyen Van Giai, and Jie Meng.
    "Isospin Corrections for Superallowed \( \beta \) Transitions"
    Nuclear Structure in China 2010 (World Scientific), 116 (2011).
    Journal, doi: 10.1142/9789814360654_0020
    13th National Conference on Nuclear Structure in China (Chifeng, Inner Mongolia, China)
  2. Haozhao Liang, Nguyen Van Giai, and Jie Meng.
    "Theoretical descriptions of isospin corrections for superallowed \( \beta \) transitions"
    J. Phys. Conf. Ser. 321, 012055 (2011).
    Journal, doi: 10.1088/1742-6596/321/1/012055
    Many-body correlations from dilute to dense nuclear systems (MBC 2011)" (Paris, France)
  3. J. Meng, P.W. Zhao, L.L. Li, Z.P. Li, H.Z. Liang, and J.M. Yao.
    "A new covariant density functional with point-coupling and its application"
    J. Phys. Conf. Ser. 321, 012016 (2011).
    Journal, doi: 10.1088/1742-6596/321/1/012016
    Many-body correlations from dilute to dense nuclear systems (MBC 2011)" (Paris, France)
  4. Jie Meng, ZhongMing Niu, HaoZhao Liang, and BaoHua Sun.
    "Selected issues at the interface between nuclear physics and astrophysics as well as the standard model"
    Sci. China Phys. Mech. Astron. 54, s119 (2011).
    Journal, doi: 10.1007/s11433-011-4439-1
  5. J. Meng, J. Li, P.W. Zhao, J.M. Yao, and H.Z. Liang.
    "Covariant density functional theory — Highlights on recent progress and applications"
    AIP Conf. Proc. 1355, 61 (2011).
    Journal, doi: 10.1063/1.3584046
    International Symposium on New Faces of Atomic Nuclei (Onna, Okinawa, Japan)
  6. Haozhao Liang, Yifei Niu, Jie Meng, and Nguyen Van Giai.
    "Random phase approximation in a self-consistent covariant approach: Recent applications"
    J. Phys. Conf. Ser. 267, 012042 (2011).
    Journal, doi: 10.1088/1742-6596/267/1/012042
    10th International Spring Seminar on Nuclear Physics: New Quests in Nuclear Structure (Vietri sul Mare, Italy)
  7. M. Moreno-Torres, M. Grasso, H. Liang, V. De Donno, M. Anguiano, and N. Van Giai.
    "Tensor effects in shell evolution using non-relativistic and relativistic mean field"
    J. Phys. Conf. Ser. 267, 012039 (2011).
    Journal, doi: 10.1088/1742-6596/267/1/012039
    10th International Spring Seminar on Nuclear Physics: New Quests in Nuclear Structure (Vietri sul Mare, Italy)

2010

  1. Haozhao Liang and Chunyan Song.
    "International Summer School on Subatomic Physics — 5th Course: Some New Facets of Nuclear Physics"
    Nuclear Physics News 20, (2) 35 (2010).
    Journal, doi: 10.1080/10619121003635410
  2. Jie Meng, Haozhao Liang, and Nguyen Van Giai.
    "Spin-isospin resonances with relativistic RPA approaches"
    AIP Conf. Proc. 1255, 29 (2010).
    Journal, doi: 10.1063/1.3442612
    7th Japan-China Joint Nuclear Physics Symposium (Tsukuba, Ibaraki, Japan)
  3. Haozhao Liang, Nguyen Van Giai, and Jie Meng.
    "Isospin symmetry-breaking corrections for superallowed beta decay in relativistic RPA approaches"
    J. Phys. Conf. Ser. 205, 012028 (2010).
    Journal, doi: 10.1088/1742-6596/205/1/012028
    XVII International School on Nuclear Physics, Neutron Physics, and Application (Varna, Bulgaria)
  4. J. Meng, Z.P. Li, H.Z. Liang, Z.M. Niu, J. Peng, B. Qi, B. Sun, S.Y. Wang, J.M. Yao, and S.Q. Zhang.
    "Covariant Density Functional Theory for Nuclear Structure and Application in Astrophysics"
    Nucl. Phys. A 834, 436c (2010).
    Journal, doi: 10.1016/j.nuclphysa.2010.01.058
    10th International Conference on Nucleus-Nucleus Collisions (Beijing, China)

2009

  1. Jie Meng and Haozhao Liang.
    "Relativistic symmetry in atomic nuclei—Physics origin of spin and pseudospin symmetry" 《原子核中相对论对称性—自旋及赝自旋对称性的物理起源》 (in Chinese)
    10000 of Scientific Puzzles—Physics (10000个科学难题:物理学卷) (China Science Publishing, 科学出版社), 743 (2009).
  2. N. Van Giai, W.H. Long, H.Z. Liang, and J. Meng.
    "Recent developments in relativistic Hartree-Fock and RPA studies"
    Nuclear Structure and Related Topics (2009).
    International Conference "Nuclear Structure and Related Topics" (NSRT-2009) (Dubna, Russia)
  3. J. Meng, Z.P. Li, H.Z. Liang, Z.M. Niu, J. Peng, B. Qi, B. Sun, N. Van Giai, D. Vretenar, S.Y. Wang, J.M. Yao, and S.Q. Zhang.
    "Covariant density functional theory for nuclear structures and application in astrophysics"
    Nuclear Structure and Related Topics (2009).
    International Conference "Nuclear Structure and Related Topics" (NSRT-2009) (Dubna, Russia)
  4. Y. Zhang, H.Z. Liang, and J. Meng.
    "Recent progress on the relativistic many-body theory in the imaginary time step method"
    Nuclear Structure and Related Topics (2009).
    International Conference "Nuclear Structure and Related Topics" (NSRT-2009) (Dubna, Russia)
  5. Haozhao Liang, Nguyen Van Giai, and Jie Meng.
    "Isospin Corrections for Superallowed \( \beta \)-Decay in Self-consistent Relativistic RPA Approach"
    AIP Conf. Proc. 1165, 431 (2009).
    Journal, doi: 10.1063/1.3232143
    International Conference on Nuclear Structure and Dynamics (NSD2009) (Dubrovnik, Croatia)
  6. Ying Zhang, Haozhao Liang, and Jie Meng.
    "Imaginary time step method to solve the Dirac equation with nonlocal potential"
    AIP Conf. Proc. 1165, 279 (2009).
    Journal, doi: 10.1063/1.3232092
    International Conference on Nuclear Structure and Dynamics (NSD2009) (Dubrovnik, Croatia)
  7. Ying Zhang, Haozhao Liang, and Jie Meng.
    "First attempt to overcome the disaster of Dirac Sea in imaginary time step method"
    Chin. Phys. C 33, 113 (2009).
    Journal, doi: 10.1088/1674-1137/33/S1/036
    12th National Conference on Nuclear Structure in China (Chongqing, China)

2008

  1. Nguyen Van Giai, W.H. Long, H.Z. Liang, J. Meng, and H. Sagawa.
    "Pion- and Rho-Meson Effects in Relativistic Hartree-Fock and RPA"
    Physics of Unstable Nuclei (World Scientific), 416 (2008).
    Journal, doi: 10.1142/9789812776150_0061
    International Symposium on the Physics of Unstable Nuclei (ISPUN07) (Hoi An, Vietnam)

2007

  1. N. Van Giai, H.Z. Liang, and J. Meng.
    "RPA correlation and nuclear densities in relativistic mean field approach"
    Rom. Rep. Phys. 59, 693 (2007).
    Journal, arxiv:nucl-th/0702046

学位論文

  1. Yixin Guo.
    "Three-body and four-body clustering in cold quantum many-body systems"
    PhD thesis, The University of Tokyo (Japan) (2024).
  2. Minglong Li.
    "Response of asymmetric nuclear matter studied with a finite number of particles"
    Master's thesis, The Unviersity of Tokyo (Japan) (2024).
  3. Hikaru Sakakibara.
    "BCS-BEC crossover in low-dimensional fermionic systems with finite-range interaction"
    PhD thesis, The University of Tokyo (Japan) (2024).
  4. Tomoya Naito.
    "On isospin symmetry breaking in nuclear density functional theory"
    PhD thesis, The University of Tokyo (Japan) (2022).
  5. Yixin Guo.
    "Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials"
    Master's thesis, The Unviersity of Tokyo (Japan) (2021).
  6. Xun Liu.
    "Studies on 2-Dimensional Conformal Field Theory through Sine-Square Deformation"
    Master's thesis, The Unviersity of Tokyo (Japan) (2021).
  7. Hikaru Sakakibara.
    "Development of functional renormalization group and its application in one-dimensional nucleon systems"
    Master's thesis, The Unviersity of Tokyo (Japan) (2020).
  8. Asahi Chikaoka.
    "Beta-decay half-lives with Gross theory and Weizsäcker-Skyrme mass formula"
    Master's thesis, The Unviersity of Tokyo (Japan) (2019).
  9. Tomoya Naito.
    "Relativistic density functional theory with finite-light-speed correction"
    Master's thesis, The Unviersity of Tokyo (Japan) (2019).
  10. Daisuke Ohashi.
    "Improvement of functionals in density functional theory with inverse Kohn-Sham method"
    Master's thesis, The Unviersity of Tokyo (Japan) (2019).
  11. Zhiheng Wang.
    "Analysis of Nuclear Tensor-Force Effect in Covariant Density Functional Theory" (in Chinese)
    PhD thesis, Lanzhou University (China) (2018).

特許

  1. Hirotaka Irie, Haozhao Liang, Takumi Doi, Shinya Gongyo, Tetsuo Hatsuda.
    "Information processing system, combinatorial optimization method, and combinatorial optimization program"
    US Patent App. 17/156, 181 (2021).