论文标题

现象学三核子相互作用的核物质计算

Nuclear matter calculations with the phenomenological three-nucleon interaction

论文作者

Moeini, H., Bordbar, G. H.

论文摘要

采用三体径向分布函数的概念并使用基于最低阶数约束变化方法计算的两体相关函数,我们研究了三体力(TBF)对核物质的影响,对于Argonne和urbonne $ \ it {v_ {14}} $势。因此,在饱和点显示了核物质密度,不可压缩性,每个核能和对称能量的结果。现象学TBF的包含导致饱和密度,不可压缩性和对称能量的近似值与对称核物质的经验值。 urbana $ \ it {v_ {14}} $势尤其如此。此外,使用经验验证的相互作用能量的抛物线近似值用于对中子过量的核物质进行近似研究。因此,在高于0.3〜fm $^{ - 3} $的密度下,对于接近对称核物质的质子与中子密度比,TBF的纳入与Urbana $ \ IT {v_ {14}} $潜力相比,TBF的纳入使Argonne具有额外的吸引力。

Employing the concept of three-body radial distribution function and using the two-body correlation functions, calculated based on the lowest order constrained variational method, we investigated the effect of the three-body force (TBF) on the nuclear matter properties, for Argonne and Urbana $\it{v_{14}}$ potentials. As such, the results for nuclear matter density, incompressibility, energy per nucleon, and symmetry energy are presented at the saturation point. The inclusion of a phenomenological TBF resulted in closer values of the saturation density, incompressibility, and symmetry energy to the empirical ones for the symmetric nuclear matter. This is especially the case for the Urbana $\it{v_{14}}$ potential. In addition, an empirically-verified parabolic approximation of the interaction energy was utilized to perform an approximate study of the nuclear matter with neutron excess. Hence, at densities higher than about 0.3~fm$^{-3}$ and for proton-to-neutron density ratios close to the symmetric nuclear matter, the inclusion of TBF resulted in an extra attraction for the Argonne as compared to the Urbana $\it{v_{14}}$ potential.

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