The microscopic structure of an isolated vortex line in superfluid neutron
matter is studied by solving the Bogoliubuv-de Gennes equations. Our study,
which is a starting point for the microscopic, quantum mechanical calculat
ion of pinning forces in neutron stars, shows that the size of the vortex c
ore varies differently with the density and pairing potential than that ass
umed in earlier calculations of vortex pinning in neutron star crusts. The
implications of this result are discussed. [S0031-9007(99)08565-8].