Polarized nuclear matter using a modified density dependent Seyler-Blanchard potential

Abstract

The binding energy of polarized nuclear matter with excess of neutrons, spin-up neutrons, and spin-up protons contains three symmetry energies: the spin symmetry energy, the isospin symmetry energy, and the spin-isospin symmetry energy. The potential used here for polarized nuclear matter is a modified density-dependent Seyler-Blanchard potential with an explicit dependence on the density of protons with spin-up and -down ${\ensuremath{\rho}}_{p\ensuremath{\uparrow}}$ and ${\ensuremath{\rho}}_{p\ensuremath{\downarrow}},$ also on the neutron density with spin-up and -down ${\ensuremath{\rho}}_{n\ensuremath{\uparrow}}$ and ${\ensuremath{\rho}}_{n\ensuremath{\downarrow}}.$ It is found that the binding energy per particle, pressure, velocity of sound, and entropy agree very well with previous theoretical estimates.