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The inner crust of neutron stars, formed of a crystal lattice of uclearclusters immersed in a sea of unbound neutrons, may be the nique example ofperiodic nuclear systems. We have calculated the neutron specific heat in theshallow part of the crust using the band theory of solids with Skyrmenucleon-nucleon interactions. We have also tested the validity of variousapproximations. We have found that the neutron specific heat is well describedby that of a Fermi gas, while the motion of the unbound neutrons is stronglyaffected by the nuclear lattice. These apparently contradictory results areexplained by the particular properties of the neutron Fermi surface.

Neutron specific heat in the crust of neutron stars from the nuclear band theory