Dynamical properties of the crust of neutron stars derived from realistic NN interactions

The mean free path of neutrino in charged and neutral current reactions is calculated for inhomogeneous nuclear matter which is expected to appear in the crust of neutron stars. The relevant cross section depends on Fermi and Gamow-Teller strength distributions, which are derived from the large-scale shell model calculations within the self-consistent Skyrme-Hartree-Fock approach and in a relativistic mean-field model. The inhomogeneous nuclear matter is described in terms of cubic Wigner-Seitz cells, which allows for a microscopic description of the structures in the so-called pasta phase of nuclear configurations and provides a smooth transition to the limit of homogeneous matter. The influence of pasta phase, its microscopical structure and geometrical shapes on neutrino propagation is considered.