A general derivation of differential cross section in quark-quark scatterings at fixed impact parameter

TL;DR

This paper presents a comprehensive derivation of the differential cross section for quark-quark scatterings at fixed impact parameters, resolving ambiguities in traditional methods and applicable across various particle collision energies.

Contribution

It introduces a general, unambiguous derivation method for differential cross sections in quark-quark scatterings, applicable to diverse partonic and hadronic interactions.

Findings

Provides a well-defined derivation free of ambiguity.

Applicable to low and high energy particle collisions.

Enhances theoretical understanding of scattering processes.

Abstract

We propose a general derivation of differential cross section in quark-quark scatterings at fixed impact parameters. The derivation is well defined and free of ambiguity in the conventional one. The approach can be applied to a variety of partonic and hadronic scatterings in low or high energy particle collisions.