In-medium nucleon-nucleon cross-sections with non-spherical Pauli blocking

TL;DR

This paper introduces a new formalism for calculating in-medium nucleon-nucleon cross sections without partial wave expansion, improving accuracy in modeling nuclear interactions in dense matter.

Contribution

It presents an alternative approach to solve the Bethe-Goldstone equation, removing the spherical approximation to better capture angular and energy dependencies.

Findings

Removing the spherical approximation affects the angular distribution of cross sections.

The new formalism provides more accurate in-medium nucleon-nucleon cross sections.

Potential implications for nuclear physics modeling and simulations.

Abstract

We present a formalism to solve the Bethe-Goldstone scattering equation without the use of partial wave expansion which is alternative to the one we developed in a previous work. The present approach is more suitable for the calculation of in-medium nucleon-nucleon cross sections, which are the focal point of this paper. The impact of removing the spherical approximation on the angle and energy dependence of, particularly, in-medium proton-proton and proton-neutron differential cross sections is discussed along with its potential implication.