Europhys. Lett.
Volume 65, Number 5, March 2004
Page(s) 620 - 626
Section General
Published online 01 February 2004
Europhys. Lett., 65 (5) , pp. 620-626 (2004)
DOI: 10.1209/epl/i2003-10173-4

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

A. N. Tarasov

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

(Received 21 August 2003; accepted in final form 18 December 2003)

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 $\chem{{}^{3}He}$- A1,2 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 $0\le T \le T_{\ab{c}}$ ( $T_{\ab{c}}$ 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 $T_{\ab{c}1,2}({n,H})$ 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 $0.9n_{0}\lesssim n\lesssim 1.4n_{0}$).

05.30.-d - Quantum statistical mechanics.
67.57.-z - Superfluid phase of liquid $\chem{{}^{3}He}$.
97.60.Jd - Neutron stars.

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