Reaction cross sections of the deformed halo nucleus 31Ne

TL;DR

This paper calculates reaction cross sections of the deformed halo nucleus 31Ne using Glauber theory and the particle-rotor model, comparing different models and analyzing the effects of deformation and wave function components.

Contribution

It introduces a detailed analysis of 31Ne reaction cross sections considering nuclear deformation and rotational excitation, comparing the particle-rotor and Nilsson models.

Findings

Nilsson model approximates reaction cross sections well

Reaction cross sections depend on deformation parameter

Ground state wave function components influence results

Abstract

Using the Glauber theory, we calculate reaction cross sections for the deformed halo nucleus $^{31}$Ne. To this end, we assume that the $^{31}$Ne nucleus takes the $^{30}$Ne + $n$ structure. In order to take into account the rotational excitation of the core nucleus $^{30}$Ne, we employ the particle-rotor model (PRM). We compare the results to those in the adiabatic limit of PRM, that is, the Nilsson model, and show that the Nilsson model works reasonably well for the reaction cross sections of $^{31}$Ne. We also investigate the dependence of the reaction cross sections on the ground state properties of $^{31}$Ne, such as the deformation parameter and the p-wave component in the ground state wave function.