Spatial image of reaction area from scattering.II: On connection between the differential cross-sections in transverse momentum and in nearest approach parameter

TL;DR

This paper develops a formalism linking differential cross-sections in transverse momentum and nearest approach parameter to visualize the spatial distribution of reaction areas in exclusive processes.

Contribution

It introduces a method to relate cross-sections to the spatial image of the reaction area using the nearest approach parameter.

Findings

Established a formal connection between cross-sections and spatial distributions.

Provided a way to determine the spatial distribution of outgoing particles.

Enhanced understanding of reaction mechanisms in exclusive processes.

Abstract

We develop general formalism of how to relate cross-section for exclusive processes to spatial image of reaction area. More precisely we show how to determine the spatial distribution of outgoing particles in the space of so-called nearest approach parameter. This parameter characterizes the position in the coordinate space the place where the final particle is produced.