Neutrino pair emission from the inner crust of a neutron star

It is shown that spin-orbital interaction of neutrons with clusters (nuclei or bubbles) immersed in the neutron sea of the inner crust of a neutron star can intensify substantially the neutrino pair emission (with respect to the neutrino emission in the uniform nuclear matter) at temperatures typical for the neutrino cooling epoch of the star. The neutrino pair emissivity of sub-nuclear matter is calculated both for the case when clusters are at random positions and for the case when clusters are ordered in a lattice.