Nuclear symmetry potential in the relativistic impulse approximation

Details Nuclear symmetry potential in the relativistic impulse approximation Nuclear symmetry potential in the relativistic impulse approximation

2006-06-30

arxiv.org/abs/nucl-th/0606063v2

Phys.Rev. C74 (2006) 044613

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.74.044613

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$\leq E_{\mathrm{kin}}\leq 400$ MeV) behavior of the nucleon Dirac optical potential, the Schr\"{o}dinger-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.

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