High energy nucleus-nucleus collision and halo radii in different approaches of Glauber theory

TL;DR

This paper performs a detailed Glauber calculation of differential cross sections for carbon-12 and halo nuclei scattering, revealing differences from optical model results and indicating larger halo radii.

Contribution

It introduces a complete Glauber calculation method for scattering cross sections, improving accuracy over previous approximate approaches.

Findings

Complete Glauber calculations differ from optical model results.

Halo nuclei radii are larger when extracted via the complete Glauber analysis.

Results suggest the importance of detailed Glauber methods for nuclear scattering studies.

Abstract

The complete Glauber calculation of the differential cross sections of $^{12}$C--$^{12}$C and halo nuclei on $^{12}$C scattering was performed using the previously proposed in Refs.~\cite{Shabelski:2021iqk, Shabelski:2022xkw} method of generating function. The results are different as compared with the similar calculations in the optical model and the rigid target approximation. The halo nuclei radii extracted from the scattering data via the complete Glauber analysis come out to be larger than those obtained in the approximate approaches