Potential of nucleon interaction with odd nuclei in the Hartree-Fock theory

An expression for the real part of the optical potential of nucleon interac tion with odd nuclei is derived in the Hartree-Fock approximation with effe ctive density-dependent nucleon-nucleon interaction. It is shown for C-13 n ucleus, as an example, that this potential contains the central interaction , as well as two spin-orbit forces connected with the spins of scattered nu cleon and nucleus, and quite strong spin-spin and tensor interactions. The simple analytical expressions have been obtained for these potentials. The radial distributions of the interactions obtained and their energy dependen ces are investigated. It is shown that all potentials differ for neutron an d proton scattering while the spin-spin and tensor forces in both cases hav e opposite signs, complicated radial dependences and are the same by an ord er of magnitude on the nuclear surface.