Abstract

A Variational Monte-Carlo (VMC) method is employed to investigate the density dependence of the symmetry energy of isospin asymmetric nuclear matter. The realistic Urbana \(V\)14 nucleon–nucleon interaction potential of Lagaris and Pandharipande was used in the VMC calculations with addition of a phenomenological density-dependent term to simulate many-body interactions. The symmetry energy is obtained for different densities and compared with the data found in the literature, and it was observed that the results obtained in this study reasonably agree with the results found in the literature, and the symmetry energy is found to increase almost linearly with the density. We obtained the symmetry energy coefficient at saturation density \(\rho=0.16\) fm\({}^{-3}\) to be about 26.89 MeV, which is in agreement with the empirical value 30 \(\pm\) 4 MeV. Also, the incompressibility factor of the nuclear matter and the equation of the state of pure neutron matter were reported. The results obtained are consistent with those obtained by various authors with different potentials and techniques.

中文翻译：

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核物质对称能量的密度依赖性：VMC计算

摘要

采用变分蒙特卡罗（VMC）方法研究同位旋非对称核物质对称能量的密度依赖性。Lagaris和Pandharipande的逼真的Urbana \（V \） 14核子-核子相互作用势用于VMC计算，并添加了一种依赖于现象学的密度相关项来模拟多体相互作用。获得了不同密度的对称能，并将其与文献中的数据进行了比较，结果发现，本研究中获得的结果与文献中的结果合理地吻合，并且对称能随线性增加而线性增加。密度。我们获得了饱和密度\（\ rho = 0.16 \） fm \（{} ^ {-3} \）下的对称能量系数约为26.89 MeV，这与经验值30 \（\ pm \） 4 MeV一致。此外，还报道了核物质的不可压缩因子和纯中子物质状态方程。获得的结果与具有不同潜力和技术的不同作者获得的结果一致。