Phase transition temperatures of dense neutron matter with Skyrme interaction to superfluid states with spin-triplet pairing in high magnetic field

Institute of Theoretical Physics, National Science Centre “Kharkov Institute of Physics and Technology” - Akademicheskaya Str. 1, Kharkov 61108, Ukraine

Received: 21 August 2003
Accepted: 18 December 2003

Abstract

The nonlinear integral equations for the order parameter and effective magnetic field in pure neutron liquid matter of high densities (which may be of the same order or exceed the symmetric nuclear matter saturation density n₀) with spin-triplet p-wave pairing of - type in a strong magnetic field (existing inside the fluid core of neutron stars) were derived using the Skyrme interaction between neutrons. These equations (obtained within the generalized nonrelativistic Fermi-liquid approach) are valid in the temperature interval ( is the normal-superfluid transition temperature). For arbitrary parametrization of the Skyrme interaction the approximate analytical solutions of these equations were found for phase transition (PT) temperatures and for their splitting as functions linear on the magnetic field H and nonlinear on the neutron matter density n. The result for the splitting of the PT temperatures is represented in graphical form in the particular case with the SkP interaction (for ).