On the momentum distribution of short-lived nuclear hole states

Abstract

The influence of the lifetime of internal hole states, resulting from nuclear quasi-free scattering, on the corresponding momentum distributions is studied. The Schrödinger equation for bound states in complex potentials is solved by an iteration procedure. The momentum distribution of 1s hole states in lp and 2s-1d shell nuclei is determined for some complex interactions, and leads to strongly model-dependent results. For imaginary potentials proportional to the density distributions of the shells less bound than the hole, the influence on the momentum distributions is very small, but sizable modifications result for potentials acting predominantly at the centre or at the surface.