Relativistic Elastic Differential Cross Sections for Equal Mass Nuclei

TL;DR

This paper investigates the impact of relativistic kinematics on elastic nuclear collisions of equal mass nuclei, finding that relativistic effects do not significantly alter the differential cross sections compared to non-relativistic calculations.

Contribution

It demonstrates that relativistic and non-relativistic elastic scattering amplitudes are nearly identical for equal mass nuclei, clarifying the role of relativistic effects in such collisions.

Findings

Relativistic and non-relativistic amplitudes are nearly indistinguishable.

Differential cross sections are nearly the same in relativistic and non-relativistic cases.

Relativistic effects are minimal for equal mass nuclear elastic scattering.

Abstract

The effects of relativistic kinematics are studied for nuclear collisions of equal mass nuclei. It is found that the relativistic and non-relativistic elastic scattering amplitudes are nearly indistinguishable, and, hence, the relativistic and non-relativistic differential cross sections become indistinguishable. These results are explained by analyzing the Lippmann-Schwinger equation with the first order optical potential that was employed in the calculation