Inverse scattering: applications to nuclear physics

TL;DR

This paper reviews inverse scattering in nuclear physics, focusing on deriving interaction potentials from measured scattering data to better understand nuclear interactions.

Contribution

It provides a comprehensive overview of methods for inverse scattering in nuclear physics and discusses their reliability and significance for understanding nuclear forces.

Findings

Reliable methods for inverse scattering now exist.

Inverse scattering helps elucidate nuclear interaction potentials.

The approach enhances understanding of nuclear forces.

Abstract

In what follows we first set the context for inverse scattering in nuclear physics with a brief account of inverse problems in general. We then turn to inverse scattering which involves the S-matrix, which connects the interaction potential between two scattering particles with the measured scattering cross section. The term `inverse' is a reference to the fact that instead of determining the scattering S-matrix from the interaction potential between the scattering particles, we do the inverse. That is to say, we calculate the interaction potential from the S-matrix. This review explains how this can now be done reliably, but the emphasis will be upon reasons why one should wish to do this, with an account of some of the ways this can lead to understanding concerning nuclear interactions.