Generalized optical model for elastic and quasi-elastic scattering of protons

Abstract

The isospin dependence of the nuclear optical potential is studied using projection formalism. Exchange effects are taken into account. Instead of Lane's phenomenological potential V 0+V 1 t s ̇ T , we find V 0+V 1(2t 3T 3− t s ̇ T) . The difference leads to a change of the relative sign between the wave functions p and n, describing the motion of the proton and a neutron, respectively. An explicit relation between the functions p, n and the full wave function is given. General expressions for the potentials V 0and V 1 are derived. They may serve as starting point for microscopic theory.