Hu Jinniu, Toki Hiroshi, Shen Hong
School of Physics, Nankai University, Tianjin 300071, China.
Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka 567-0047, Japan.
Sci Rep. 2016 Oct 18;6:35590. doi: 10.1038/srep35590.
We study the properties of nuclear matter with lattice nucleon-nucleon (NN) potential in the relativistic Brueckner-Hartree-Fock (RBHF) theory. To use this potential in such a microscopic many-body theory, we firstly have to construct a one-boson-exchange potential (OBEP) based on the latest lattice NN potential. Three mesons, pion, σ meson, and ω meson, are considered. Their coupling constants and cut-off momenta are determined by fitting the on-shell behaviors and phase shifts of the lattice force, respectively. Therefore, we obtain two parameter sets of the OBEP potential (named as LOBEP1 and LOBEP2) with these two fitting ways. We calculate the properties of symmetric and pure neutron matter with LOBEP1 and LOBEP2. In non-relativistic Brueckner-Hartree-Fock case, the binding energies of symmetric nuclear matter are around -3 and -5 MeV at saturation density, while it becomes -8 and -12 MeV in relativistic framework with S, S, and D channels using our two parameter sets. For the pure neutron matter, the equations of state in non-relativistic and relativistic cases are very similar due to only consideration S channel with isospin T = 1 case.
我们在相对论性布吕克纳 - 哈特里 - 福克（RBHF）理论中，利用格点核子 - 核子（NN）势研究核物质的性质。为了在这样的微观多体理论中使用该势，我们首先必须基于最新的格点NN势构建一个单玻色子交换势（OBEP）。考虑了三种介子，即π介子、σ介子和ω介子。它们的耦合常数和截止动量分别通过拟合格点力的能壳行为和相移来确定。因此，通过这两种拟合方式，我们得到了OBEP势的两组参数（分别命名为LOBEP1和LOBEP2）。我们用LOBEP1和LOBEP2计算了对称核物质和纯中子物质的性质。在非相对论性布吕克纳 - 哈特里 - 福克情形下，对称核物质在饱和密度下的结合能约为 -3和 -5 MeV，而在相对论框架下，使用我们的两组参数，考虑S、S和D通道时，结合能变为 -8和 -12 MeV。对于纯中子物质，由于仅考虑同位旋T = 1情形下的S通道，非相对论和相对论情形下的状态方程非常相似。
