Superfluid fraction in the rod phase of the inner crust of neutron stars

Abstract

The rod phase as it is expected in the bottom layers of neutron-star crusts is analyzed within the Hartree-Fock-Bogoliubov framework. In order to well describe the interplay between band structure and superfluidity, periodicity of the lattice is taken into account using Bloch boundary conditions. A relative flow between the rods and the surrounding neutron gas is introduced in a time-independent way. This induces a non-trivial phase of the complex order parameter, leading to a counterflow between neutrons inside and outside the rods. With the resulting current, we compute the actual neutron superfluid fraction. For the latter our results are significantly larger than previous ones obtained in normal band theory, indicating that the normal band theory overestimates the entrainment effect.

11 pages, 6 figures

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Cited by in corpus (5)

• Superfluid density in linear response theory : pulsar glitches from the inner crust of neutron stars
• Superfluid fraction in the crystalline crust of a neutron star: role of BCS pairing
• Emergence of the geometric contribution to the superfluid density in the inner crust of neutron stars
• Superfluid fraction in the crystalline crust of a neutron star: role of quantum zero-point motion of ions
• Phase transitions in the inner crust of neutron stars within the superfluid band theory: Competition between ${}^1{\text{S}}_0$ pairing and spin polarization under finite temperature and magnetic field