Eur. Phys. J. Special Topics 150, 215-218 (2007)
https://doi.org/10.1140/epjst/e2007-00307-4

Isoscalar and isovector nuclear matter properties and neutron skin thickness

¹ Center for Mathematical Sciences, University of Aizu, Aizu-Wakamatsu, Fukushima, 965-8580, Japan
² Science Research Center, Hosei University, 2-17-1 Fujimi, Chiyoda, Tokyo, 102-8160, Japan

Received: 31 January 2007
Published online: 8 December 2007

Abstract

Isoscalar and isovector nuclear matter properties are investigated in the Skyrme Hartree-Fock (SHF) and the relativistic mean field (RMF) models. The Skyrme parameters are related analytically to the isoscalar and the isovector nuclear matter properties of the Hamiltonian density. Linear correlations are found among the isovector nuclear matter properties of the Hamiltonian density in both the SHF and the RMF models. 
We also discovered that the correlations between the isovector properties and the incompressibility K show a singularity at the critical incompressibility K_c=306 MeV. It is shown that the neutron skin thickness gives crucial information about not only for the neutron EOS but also about the isovector nuclear matter properties and about the parameterization of Skyrme interaction. Charge exchange spin-dipole (SD) excitations are proposed to determine the neutron skin thickness model independently.