Nuclear symmetry potential in the relativistic impulse approximation

Abstract

Using the relativistic impulse approximation with the Love-Franey \textsl{NN} scattering amplitude developed by Murdock and Horowitz, we investigate the low-energy (100 MeV$\le E_{\mathrm{kin}}\le 400$ MeV) behavior of the nucleon Dirac optical potential, the Schrödinger-equivalent potential, and the nuclear symmetry potential in isospin asymmetric nuclear matter. We find that the nuclear symmetry potential at fixed baryon density decreases with increasing nucleon energy. In particular, the nuclear symmetry potential at saturation density changes from positive to negative values at nucleon kinetic energy of about 200 MeV. Furthermore,the obtained energy and density dependence of the nuclear symmetry potential is consistent with those of the isospin- and momentum-dependent MDI interaction with $x=0$, which has been found to describe reasonably both the isospin diffusion data from heavy-ion collisions and the empirical neutron-skin thickness of ${}^{208}$Pb.

8 pages, 5 figures, revised version to appear in PRC

References in corpus (1)

• Isospin Diffusion in Heavy-Ion Collisions and the Neutron Skin Thickness of Lead

Cited by in corpus (4)

• Isospin-dependent properties of asymmetric nuclear matter in relativistic mean-field models
• Effects of isospin and momentum dependent interactions on thermal properties of asymmetric nuclear matter
• Temperature and momentum dependence of single-particle properties in hot asymmetric nuclear matter
• Mean free paths and in-medium scattering cross sections of energetic nucleons in neutron-rich nucleonic matter within the relativistic impulse approximation