Magnetization of the proton crystal in the neutron star matter

The permanent magnetization of the proton crystal immersed in the neutron background inside the neutron star core Is studied. The magnetization is produced by the ferromagnetic ordering of spills of protons localized at the lattice sites. We calculate the magnetization of the crystal in a simple model based on the Skyrme forces in which we use variational wave functions for localized protons and Bloch neutrons in the Hartree-Fock approximation. The induced spin excess of the neutron Fermi sea is found and its contribution to the magnetization is included.