Continuum discretization methods in a composite particle scattering off a nucleus: Benchmark calculations

The direct comparison of two different continuum discretization methods toward the solution of a composite particle scattering off a nucleus is presented. The first approach-the continuum-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 Ni-58 target scattering (as a realistic illustrative example) at three different incident energies: high, middle, and low. Clear nonvanishing 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.