Continuum discretization methods in a composite-particle scattering off a nucleus: the benchmark calculations

TL;DR

This paper compares two continuum discretization methods for composite-particle scattering off a nucleus, demonstrating their agreement in elastic cross sections and highlighting the effects of inelastic channels at various energies.

Contribution

It provides a benchmark comparison between the Continuum-Discretized Coupled Channel and Wave-Packet Continuum Discretization methods for nuclear scattering.

Findings

Elastic cross sections are consistent across methods.

Inelastic channel effects are significant at low and intermediate energies.

Both methods yield similar results for the scattering problem.

Abstract

The direct comparison of two different continuum discretization methods towards the solution of a composite particle scattering off a nucleus is presented. The first approach -- the Continumm-Discretized Coupled Channel method -- is based on the differential equation formalism, while the second one -- the Wave-Packet Continuum Discretization method -- uses the integral equation formulation for the composite-particle scattering problem. As benchmark calculations we have chosen the deuteron off \nuc{58}{Ni} target scattering (as a realistic illustrative example) at three different incident energies: high, middle and low. Clear non-vanishing effects of closed inelastic channels at small and intermediate energies are established. The elastic cross sections found in both approaches are very close to each other for all three considered energies.