Using inverse scattering methods to study inter-nucleus potentials

Abstract

It is now straightforward to carry out S-matrix to potential inversion over a very wide range of energies and for a wide range of projectile-target combinations. Inversion is possible in many cases involving spin. IP inversion also permits direct scattering data-to-potential inversion and furnishes powerful tools for the phenomenological analysis of nuclear scattering. The resulting single particle potentials exhibit various generic properties which challenge fundamental reaction theories as well as yield information on densities, provide input for reaction calculations. S-matrix to potential inversion is also a powerful tool for directly investigating theoretical processes which contribute to inter-nuclear potentials. Various studies have given insight into contributions to the dynamic polarisation potential (DPP) due to breakup processes and due to collective and reaction channel coupling and have also illuminated the role played by exchange processes in leading to non-locality and parity dependence of the potentials. A case study involving d + He-4 is a model for ways in which inversion applied jointly to theory and experiment might illuminate the scattering of exotic nuclei.