# Reaction cross sections of proton scattering from carbon isotopes (A=8-22) by means of the relativistic impulse approximation

## TL;DR

This paper calculates proton scattering reaction cross sections for carbon isotopes (A=8-22) using relativistic models and compares them with experimental data, revealing a strong link between cross sections and nuclear size.

## Contribution

It introduces a combined approach using Glauber theory and relativistic impulse approximation with relativistic mean field densities for carbon isotopes.

## Key findings

- Reaction cross sections are successfully calculated across a large energy range.
- A clear correlation between reaction cross section and root-mean-square radius for 12C is demonstrated.
- Results agree well with experimental data, validating the models used.

## Abstract

Reaction cross sections of carbon isotopes for proton scattering are calculated in large energy region. Density distributions of carbon isotopes are obtained from relativistic mean field results. Calculations are based on two procedures: the Glauber theory and relativistic impulse approximation, and results are compared with each other as well as with experimental data. A strong relationship between reaction cross section and root-mean-square radius is clearly shown for 12C using a model distribution.