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

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Cited by in corpus (20)

• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Isospin-dependent properties of asymmetric nuclear matter in relativistic mean-field models
• Single-nucleon potential decomposition of the nuclear symmetry energy
• Why is the nuclear symmetry energy so uncertain at supra-saturation densities?
• Analytical relations between nuclear symmetry energy and single-nucleon potentials in isospin asymmetric nuclear matter
• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Effects of isospin and momentum dependent interactions on thermal properties of asymmetric nuclear matter
• Extracting the nuclear symmetry potential and energy from neutron-nucleus scattering data
• An improved single particle potential for transport model simulations of nuclear reactions induced by rare isotope beams
• Temperature and momentum dependence of single-particle properties in hot asymmetric nuclear matter
• Extended Skyrme interactions for transport model simulations of heavy-ion collisions
• Neutron-proton effective mass splitting in neutron-rich matter and its impacts on nuclear reactions
• Imprints of Nuclear Symmetry Energy on Properties of Neutron Stars
• Probing Nuclear Symmetry Energy and its Imprints on Properties of Nuclei, Nuclear Reactions, Neutron Stars and Gravitational Waves
• Relationship between the symmetry energy and the single-nucleon potential in isospin-asymmetric nucleonic matter
• Mean free paths and in-medium scattering cross sections of energetic nucleons in neutron-rich nucleonic matter within the relativistic impulse approximation
• Can the nuclear symmetry potential at supra-saturation densities be negative?
• Symmetry potentials and in-medium nucleon-nucleon cross sections within the Nambu-Jona-Lasinio model in relativistic impulse approximation
• Effects of density-dependent scenarios of in-medium nucleon-nucleon interactions in heavy-ion collisions
• Origins and Impacts of High-Density Symmetry Energy