Glauber-model analysis of total reaction cross sections for Ne, Mg, Si, and S isotopes with Skyrme-Hartree-Fock densities

TL;DR

This paper uses the Glauber model and Skyrme-Hartree-Fock densities to analyze total reaction cross sections of Ne, Mg, Si, and S isotopes, providing insights into their radii and deformation, and predicting cross sections for future experiments.

Contribution

It introduces a self-consistent method combining the Glauber model with Skyrme-Hartree-Fock densities to analyze reaction cross sections without assuming symmetry.

Findings

Calculated cross sections agree with recent data for Ne+^{12}C at 240A MeV.

Predicted cross sections for Mg, Si, and S isotopes for future measurements.

High-energy cross section data at 1000A MeV are inconsistent with data at 240A MeV.

Abstract

A systematic analysis is made on the total reaction cross sections for Ne, Mg, Si, and S isotopes. The high-energy nucleus-nucleus collision is described based on the Glauber model. Using the Skyrme-Hartree-Fock method in the three-dimensional grid-space representation, we determine the nuclear density distribution for a wide range of nuclei self-consistently without assuming any spatial symmetry. The calculated total reaction cross sections consistently agree with the recent cross section data on Ne$+^{12}$C collision at 240$A$\,MeV, which makes it possible to discuss the radius and deformation of the isotopes. The total reaction cross sections for Mg$+^{12}$C, Si$+^{12}$C and S$+^{12}$C cases are predicted for future measurements. We also find that the high-energy cross section data for O, Ne, and Mg isotopes on a $^{12}$C target at around 1000\,$A$MeV can not be reproduced consistently with the corresponding data at 240\,$A$MeV.