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

作者：Liu, Jie; Gao, Chao; Wan, Niu; Xu, Chang^*

来源：Nuclear Science and Techniques, 2021, 32(11): 117.

DOI：10.1007/s41365-021-00955-2

• Equation of state
• Symmetry energy
• HVH theorem
• Single-nucleon potential

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-sym,U-i(rho, k). The six basic quantities include the quadratic symmetry energy E-sym,E-2(rho), the quartic symmetry energy E-sym,E-4(rho), their corresponding density slopes L-2(rho) and L4(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-sym,U-i(rho, k) are also analyzed at the normal nuclear density rho(0). It is clearly shown that the first-order asymmetric term U-sym,U-i(rho, k) (also known as the symmetry potential in the Lane potential) plays a vital role in determining the density dependence of the quadratic symmetry energy E-sym,E-2(rho). It is also shown that the contributions from the high-order asymmetric parts of the single-nucleon potentials (U-sym,U-i(rho, k) with i[ 1) cannot be neglected in the calculations of the other five basic quantities.

• 单位
  南京大学