Fermi – liquid theory of superfluid asymmetric nuclear matter

Influence of asymmetry on superfluidity of nuclear matter with triplet–singlet pairing of nucleons (in spin and isospin spaces) is considered within the framework of a Fermi–liquid theory. Solutions of self–consistent equations for the critical temperature and the energy gap at T = 0 are obtained with the use of Skyrme effective nucleon interaction. It is shown, that if the chemical potentials of protons and neutrons are determined in the approximation of ideal Fermi–gas, then the energy gap for some values of density and asymmetry parameter of nuclear matter demonstrates double–valued behavior. However, with account for the feedback of pairing correlations through the normal distribution functions of nucleons two–valued behavior of the energy gap turns into universal one–valued behavior. At T = 0 superfluidity arises and disappears as a result of a first order phase transition in density. 21.65.+f; 21.30.Fe; 71.10.Ay Typeset using REVTEX