Theory of superfluidity of nuclear matter based on the Fermi-liquid approach

Abstract

We use Landau’s concept of a Fermi liquid to study the theory of superfluidity of symmetric nuclear matter. For the nucleon-nucleon potential we take the effective Skyrme interaction (the Ska, SkM, SkM*, and RATP potentials). The density-dependence of the transition temperature is studied for different superfluid phases of nuclear matter. We show that the phase in which there is proton-nuclear pairing in the spin-triplet state is realized at densities close to the saturation density. We demonstrate that phase transitions in density from the given phase to a phase with singlet-singlet or triplet-triplet nucleon pairing are possible. The density-dependence at T=0 of the energy gap in the quasiparticle spectrum is established for the case of unitary and nonunitary spin states. Finally, we establish that the phase transition to a nonunitary phase is accompanied by the appearance of magnetization, which is found as a function of the nuclear matter density.