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• W3199394780 abstract "Based on the Hugenholtz-Van Hove theorem, six basic quantities of the EoS in isospin asymmetric nuclear matter are expressed in terms of the nucleon kinetic energy $t(k)$, the isospin symmetric and asymmetric parts of the single-nucleon potentials $U_0(rho,k)$ and $U_{text{text{sym,i}}}(rho,k)$. The six basic quantities include the quadratic symmetry energy $E_{text{sym,2}}(rho)$, the quartic symmetry energy $E_{text{sym,4}}(rho)$, their corresponding density slopes $L_2(rho)$ and $L_4(rho)$, and the incompressibility coefficients $K_2(rho)$ and $K_4(rho)$. By using four types of well-known effective nucleon-nucleon interaction models, namely the BGBD, MDI, Skyrme, and Gogny forces, the density- and isospin-dependent properties of these basic quantities are systematically calculated and their values at the saturation density $rho_0$ are explicitly given. The contributions to these quantities from $t(k)$, $U_0(rho,k)$, and $U_{text{sym,i}}(rho,k)$ are also analyzed at the normal nuclear density $rho_0$. It is clearly shown that the first-order asymmetric term $U_{text{sym,1}}(rho,k)$ (also known as the symmetry potential in Lane potential) plays a vital role in determining the density dependence of the quadratic symmetry energy $E_{text{sym,2}}(rho)$. It is also shown that the contributions from high-order asymmetric parts of the single-nucleon potentials ($U_{text{sym,i}}(rho,k)$ with $i>1$) cannot be neglected in the calculations of the other five basic quantities. Moreover, by analyzing the properties of asymmetric nuclear matter at the exact saturation density $rho_{text{sat}}(delta)$, the corresponding quadratic incompressibility coefficient is found to have a simple empirical relation $K_{text{sat,2}}=K_{2}(rho_0)-4.14 L_2(rho_0)$." @default.
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• W3199394780 date "2021-09-23" @default.
• W3199394780 modified "2023-09-23" @default.
• W3199394780 title "Basic quantities of the Equation of State in isospin asymmetric nuclear matter" @default.
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• W3199394780 doi "https://doi.org/10.48550/arxiv.2109.11141" @default.
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