Reaction cross sections of carbon isotopes incident on a proton

TL;DR

This paper systematically investigates the total reaction cross sections of carbon isotopes on a proton target across various energies, using Glauber theory and advanced nuclear structure models to provide insights and empirical prediction formulas.

Contribution

It introduces a comprehensive analysis combining phenomenological mean-field and dynamical models to describe carbon isotopes' structures and reaction cross sections, including new empirical formulas for predictions.

Findings

Reaction cross sections vary with isotope and energy.

Dynamical models improve the description of neutron-rich isotopes.

Empirical formulas effectively predict unknown cross sections.

Abstract

We systematically study total reaction cross sections of carbon isotopes with N=6-16 on a proton target for wide range of incident energies, putting an emphasis on the difference from the case of a carbon target. The analysis includes the reaction cross sections of ^{19,20,22}C at 40 AMeV, the data of which have recently been measured at RIKEN. The Glauber theory is used to calculate the reaction cross sections. To describe the intrinsic structure of the carbon isotopes, we use a Slater determinant generated from a phenomenological mean-field potential, and construct the density distributions. To go beyond the simple mean-field model, we adopt two types of dynamical models: One is a core+n model for odd-neutron nuclei, and the other is a core+n+n model for 16C and 22C. We propose empirical formulas which are useful in predicting unknown cross sections.