Temperature dependence of nuclear matter generalized isovector symmetry energy with Skyrme-type interactions

The temperature dependence of the nuclear matter isovector symmetry energy coefficient (A(0,1)) is investigated in the framework of the generalized nuclear polarizability with Skyrme interactions, as worked out in previous articles [F. L. Braghin, Nucl. Phys. A665, 13 (2000); Phys Rev. C 71, 064303 (2005); Int J. Mod. Phys. E 12, 755 (2003)]. The variation of A(0,1)(T) is very small (of the order of 1 MeV) for temperatures (T) in the range of 0 and 18 MeV. Different behaviors with temperature are found to strongly depend on the Skyrme parametrization, in particular at densities lower than the saturation density rho(0).