A note on scattering in deformed space with minimal length

TL;DR

This paper examines elastic scattering in a deformed space with a minimal length, analyzing how scattering relations compare to traditional space and exploring the partial wave method.

Contribution

It provides a formal analysis of scattering relations in deformed space with minimal length, extending the partial wave method to this context.

Findings

Scattering amplitude relations are formally similar to ordinary space.

Cross-section relations also coincide with traditional results.

The partial wave method is applicable in deformed space.

Abstract

We consider the elastic scattering in deformed space with minimal length. We give the basic relation for the elastic scattering in deformed space. We also investigate the partial wave method in deformed space. It is shown that the relations for the scattering amplitude and cross-section formally coincides with ordinary ones.