Nucleon-nucleon collision profile and cross section fluctuations

TL;DR

This paper explores how cross section fluctuations modeled by a gamma distribution influence the nucleon-nucleon collision profile, providing a smooth transition between common profile shapes and highlighting their impact on collision modeling.

Contribution

It introduces a gamma distribution-based model for cross section fluctuations that generalizes traditional collision profiles, offering a more flexible and realistic description.

Findings

Profile function varies smoothly with fluctuation parameters

Sensitivity of collision profiles to cross section fluctuations demonstrated

Potential implications for improved collision modeling

Abstract

The nucleon-nucleon collision profile, being the basic entity of the wounded nucleon model, is usually adopted in the form of hard sphere or the Gaussian shape. We suggest that the cross section fluctuations given by the gamma distribution leads to the profile function which smoothly ranges between the both limiting forms. Examples demonstrating sensitivity of profile function on cross section fluctuations are discussed.