# Neutron radii and neutron skin of neutron-rich nuclei deduced from proton-nucleus total reaction cross sections

## TL;DR

This paper introduces a novel method to determine neutron radii of neutron-rich nuclei by comparing reaction cross sections with stable isotopes, successfully applying it to deduce the neutron radii of $^{22}$C and $^{14}$Be for the first time.

## Contribution

The paper presents a new approach to extract neutron radii from reaction cross sections, enabling measurements for nuclei where direct methods are challenging.

## Key findings

- Neutron radii of $^{22}$C and $^{14}$Be were deduced for the first time.
- The method uses reaction cross sections measured at the same energy on a proton target.
- Experimental data at 40A MeV was successfully applied to these nuclei.

## Abstract

A new method is proposed to deduce the neutron radii of neutron-rich nuclei. This method requires measuring the reaction cross sections of both the neutron-rich nucleus and its stable isotope at the same energy on a proton target. Using this method and the available experimental data of $^{12,22}$C + $p$ and $^{9,14}$Be + $p$ at 40$A$ MeV, the neutron radii of $^{22}$C and $^{14}$Be have been deduced for the first time.