Isospin dependence of incompressibility in relativistic and non-relativistic mean field calculations

TL;DR

This paper investigates how isospin influences nuclear incompressibility using Skyrme Hartree-Fock and relativistic mean field models, analyzing correlations, Coulomb effects, and experimental data to enhance understanding of nuclear matter properties.

Contribution

It provides a detailed comparison of isospin dependence in relativistic and non-relativistic models, and extracts the symmetry energy coefficient from experimental data.

Findings

The symmetry energy coefficient of incompressibility is approximately -500 MeV.

Correlations between nuclear matter incompressibility and isospin terms are clarified.

Microscopic RPA calculations reveal strength distributions of ISGMR in ^{208}Pb and Sn isotopes.

Abstract

The isospin dependence of incompressibility is investigated in the Skyrme Hartree-Fock (SHF) and relativistic mean field (RMF) models. The correlations between the nuclear matter incompressibility and the isospin dependent term of the finite nucleus incompressibility is elucidated by using the Thomas-Fermi approximation. The Coulomb term is also studied by using various different Skyrme Hamiltonians and RMF Lagrangians. The symmetry energy coefficient of incompressibility is extracted to be K_{\tau}=-(500\pm50) MeV from the recent experimental data of isoscalar giant monopole resonances (ISGMR) in Sn isotopes. Microscopic HF+random phase approximation (RPA) calculations are also performed with Skyrme interactions for ^{208}Pb and Sn isotopes to study the strength distributions of ISGMR. .