Basic quantities of the equation of state in isospin asymmetric nuclear matter

Based on the Hugenholtz–Van Hove theorem, six basic quantities of EoS in isospin asymmetric nuclear matter are expressed terms nucleon kinetic energy t(k), symmetric and parts single-nucleon potentials $$U_0(\rho ,k)$$ $$U_{\text {sym},i}(\rho . The include quadratic symmetry $$E_{\text {sym,2}}(\rho )$$ , quartic {sym,4}}(\rho their corresponding density slopes $$L_2(\rho $$L_4(\rho incompressibility coefficients $$K_2(\rho $$K_4(\rho By using four types well-known effective nucleon–nucleon interaction models, namely BGBD, MDI, Skyrme, Gogny forces, density- isospin-dependent properties these systematically calculated values at saturation $$\rho _0$$ explicitly given. contributions to from also analyzed normal It is clearly shown that first-order term {sym,1}}(\rho (also known as potential Lane potential) plays a vital role determining dependence high-order ( with $$i>1$$ ) cannot be neglected calculations other five quantities. Moreover, by analyzing exact _{\text {sat}}(\delta coefficient found have simple empirical relation $$K_{\text {sat,2}}=K_{2}(\rho _0)-4.14 L_2(\rho _0)$$