Computation of a generalized Nordsieck integral

Abstract

In this work we introduce two analytical representations of a generalized Nordsieck integral. These integrals arise in the calculations of scattering properties of systems of Coulomb-charged particles using the natural base, which includes general solutions of the two-body Coulomb equation. We study the numerical convergence of these representations against the direct Fortran numerical integration. We test the performance of the different strategies as a function of the momentum transfer, which is typically a relevant variable in collision processes. We also discuss the advantages and disadvantages of the different approaches.