Free nucleon-nucleon t-matrix effective interaction for nucleon knockout

Abstract

Free nucleon-nucleon (N-N) t-matrix effective interaction has been evaluated using realistic N-N interaction, VN−N(r) with repulsive core potential for energies below the pion production threshold. For this relative motion wave functions are obtained by solving the Schrödinger equations incorporating the realistic interaction. The resultant t-matrix effective interaction is not only a function of the N-N separation, total spin and isospin of the interacting nucleons but is also found to be a strong function of L, the multipole moment. All the tL(r)'s are found to vanish at r=0, in contradiction to the commonly employed M3Y form. In this approach, with the change of energy, one does not have to search for new parameters to evaluate these tL(r)'s. Even though the VN−N(r)'s are real the tL(r)'s are intrinsically complex. These features are expected to make huge impact on the finite range predictions of the (p,2p), (p,pn) and (n,2n) reactions.