“Optimal” Approximation and the Realistic Nucleon-Nucleon Interactions

Abstract

The principal aim of introducing the so-called “optimal” approximation [1,2] for the projectile-nucleus elastic scattering is to take into account the binding and the recoil effects at the relatively large momentum transfers where the impulse or Glauber approximations break down. The accuracy of this approximation has been studied [3] for the proton-deuteron elastic scattering at intermediate energies using the local nucleon-nucleon interactions independent of the target nucleon spin. The deuterium target has been chosen because the deuteron wave function and the off energy shell two body scattering T matrix elements are sufficiently well known far the large relative proton-neutron momenta. The direct studies of the three-nucleon scattering at the incoming nucleon energies of several hundred MeV are in progress for the modern nucleon-nucleon forces although they have been done at the lower energies of 10 and 20 MeV [4].