Explicit energy functional for infinite nuclear matter with the tensor force

M. Takano, K. Kato, M. Yamada

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Abstract

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.

Original languageEnglish
Article number012025
JournalJournal of Physics: Conference Series
Volume529
Issue number1
DOIs
Publication statusPublished - 2014 Jan 1
Event17th International Conference on Recent Progress in Many-Body Theories, MBT 2013 - Rostock, Germany
Duration: 2013 Sep 82013 Sep 13

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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