Three-dimensional band-structure calculations in the BCS approximation within HFB theory find that only 8% of free neutrons participate in superflow at baryon density 0.03 fm^{-3}, independent of the pairing gap.
Neutron specific heat in the crust of neutron stars from the nuclear band theory
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abstract
The inner crust of neutron stars, formed of a crystal lattice of uclear clusters immersed in a sea of unbound neutrons, may be the nique example of periodic nuclear systems. We have calculated the neutron specific heat in the shallow part of the crust using the band theory of solids with Skyrme nucleon-nucleon interactions. We have also tested the validity of various approximations. We have found that the neutron specific heat is well described by that of a Fermi gas, while the motion of the unbound neutrons is strongly affected by the nuclear lattice. These apparently contradictory results are explained by the particular properties of the neutron Fermi surface.
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Superfluid fraction in the crystalline crust of a neutron star: role of BCS pairing
Three-dimensional band-structure calculations in the BCS approximation within HFB theory find that only 8% of free neutrons participate in superflow at baryon density 0.03 fm^{-3}, independent of the pairing gap.