Fermi-liquid theory of superfluid asymmetric nuclear matter - art. no. 021304

Influence of asymmetry on superfluidity of nuclear matter with triplet-sing let pairing of nucleons (in spin and isospin spaces) is considered within t he framework of a Fermi-liquid theory. Solutions of self-consistent equatio ns for the critical temperature and the energy gap at T = 0 are obtained wi th the use of Skyrme effective nucleon interaction. It is shown that if the chemical potentials of protons and neutrons are determined in the approxim ation of ideal Fermi-gas, then the energy gap for some values of density an d asymmetry parameter of nuclear matter demonstrates double-valued behavior . However, accounting for the feedback of pairing correlations through the normal distribution functions of nucleons, two-valued behavior of the energ y gap turns into universal one-valued behavior. At T = 0 superfluidity aris es and disappears as a result of a first order phase transition in density.