Nucleus-nucleus reaction cross-sections for deformed nuclei

TL;DR

This paper calculates reaction cross-sections for deformed nuclei using a Coulomb modified Glauber model, highlighting the importance of nuclear deformation, Coulomb, and in-medium effects in matching experimental data across a wide energy range.

Contribution

It introduces a method to incorporate nuclear deformation into reaction cross-section calculations, improving agreement with experimental data and empirical models.

Findings

Deformation effects significantly enhance reaction cross-sections.

Coulomb and in-medium effects are crucial at intermediate energies.

Fixed orientation of deformed nuclei influences cross-section enhancement.

Abstract

Reaction cross-sections are calculated using the Coulomb modified Glauber model for deformed target nuclei. The deformed nuclear matter density of the target is expanded into multipoles of order k = 0,2,4.The reaction cross-sections between some spherical and deformed nuclei are studied at energy range (10-1000 MeV/nucleon). The most significant effects in the intermediate energy range are the Coulomb field and in-medium effect that modified the trajectory of the incident beams. Introducing the deformation effect beside the Coulomb field and in-medium effect improves the agreement with the experimental data and two empirical parameterizations in the case of not finding experimental data. Moreover it is indicated that the enhancement of the reaction cross-sections is attributed with fixed orientation in deformed nuclei.