Elastic and total reaction cross sections of oxygen isotopes in Glauber theory

TL;DR

This paper calculates the total reaction cross sections of oxygen isotopes using Glauber theory, comparing with experimental data, and investigates elastic scattering to understand nuclear surface effects.

Contribution

It provides systematic calculations of oxygen isotope reaction cross sections with Glauber theory and explores elastic scattering sensitivity to nuclear surface features.

Findings

Good overall agreement with experimental cross sections.

Unresolved sharp increase in cross sections from ^{21}O to ^{23}O.

Elastic scattering patterns are sensitive to nuclear surface details.

Abstract

We systematically calculate the total reaction cross sections of oxygen isotopes, $^{15-24}$O, on a $^{12}$C target at high energies using the Glauber theory. The oxygen isotopes are described with Slater determinants generated from a phenomenological mean-field potential. The agreement between theory and experiment is generally good, but a sharp increase of the reaction cross sections from ^{21}O to ^{23}O remains unresolved. To examine the sensitivity of the diffraction pattern of elastic scattering to the nuclear surface, we study the differential elastic-scattering cross sections of proton-^{20,21,23}O at the incident energy of 300 MeV by calculating the full Glauber amplitude.