Simple Model for Giant Resonance Effects in Nuclear Reactions

Abstract

A simple model for the scattering of $s$-wave neutrons is discussed. The scattering interaction is a squarewell potential modified by allowing transmission through the origin to a mode of motion characterized by many narrow resonances. When the coupling out of the incident channel is weak, the cross section is found to have a resonant part which shows the giant resonance behavior observed in nuclear scattering.