Explicit energy functional for infinite nuclear matter with the tensor force

M. Takano, K. Kato, M. Yamada

研究成果: Conference article査読

1 被引用数 (Scopus)


We have applied the variational method using explicit energy functionals (EEFs) to energy calculations of infinite nuclear matter. In EEFs, the energy per nucleon is explicitly expressed with spin-isospin-dependent two-body distribution functions, which are regarded as variational functions, and fully minimized energies are conveniently calculated with the EEF. A remarkable feature of this approach is that EEFs guarantee non-negativeness of structure functions. In this study, we extend the EEF variational method so as to consider state- independent three-body forces for neutron matter at finite temperatures following the procedure proposed by Schmidt and Pandharipande. For neutron matter, the free energies obtained with the Argonne v4' two-body potential and the repulsive part of the Urbana IX (UIX) three- body potential are quite reasonable. Furthermore, we improve the EEF of nuclear matter using the two-body central and tensor forces by considering the main three-body cluster terms and guaranteeing non-negativeness of tensor structure functions. In addition, healing distances are introduced for two-body distribution functions so that Mayer's condition is satisfied. The obtained energies per neutron of neutron matter with the Argonne v6' two-body potential and the repulsive part of the UIX potential are in good agreement with those obtained by auxiliary field diffusion Monte Carlo calculations.

ジャーナルJournal of Physics: Conference Series
出版ステータスPublished - 2014
イベント17th International Conference on Recent Progress in Many-Body Theories, MBT 2013 - Rostock, Germany
継続期間: 2013 9月 82013 9月 13

ASJC Scopus subject areas

  • 物理学および天文学(全般)


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