Generating function for nucleus-nucleus scattering amplitudes in Glauber theory

TL;DR

This paper introduces a novel generating function approach to analytically compute nucleus-nucleus elastic scattering amplitudes within Glauber theory, enabling calculations across all interaction orders.

Contribution

It presents an explicit generating function method for calculating nucleus-nucleus scattering amplitudes in Glauber theory, advancing analytical techniques in the field.

Findings

Explicit generating function derived for Glauber scattering amplitudes

Analytical calculation of all interaction orders achieved

Method simplifies complex amplitude computations

Abstract

A new approach to deal with the scattering amplitudes in Glauber theory is proposed. It relies on the use of generating function, that has been explicitly found. The method is applied to the analytical calculation of the nucleus-nucleus elastic scattering amplitudes in the all interaction orders of the Glauber theory.