# Microscopic calculation of inelastic proton scattering off $^{18}$O, $^{10}$Be, $^{12}$Be, and $^{16}$C for study of neutron excitation in neutron-rich nuclei

## TL;DR

This paper performs microscopic coupled-channel calculations to analyze inelastic proton scattering on neutron-rich nuclei, revealing the role of neutron excitations and the sensitivity of scattering cross sections to neutron transition densities.

## Contribution

It introduces a microscopic approach combining antisymmetrized molecular dynamics and Melbourne g-matrix interactions to study neutron excitations in specific neutron-rich nuclei.

## Key findings

- Reproduces elastic and inelastic scattering cross sections accurately.
- Highlights the dominant neutron contribution in 2+1 states of studied nuclei.
- Identifies the extended neutron transition density in 12Be and 16C.

## Abstract

The microscopic coupled-channel calculation of inelastic proton scattering is performed for the study of neutron excitations in $2^+_1$ states of $^{18}$O, $^{10}$Be, $^{12}$Be, and $^{16}$C. Proton-nucleus potentials in the coupled-channel calculation are microscopically derived by folding the Melbourne $g$-matrix $NN$ interaction with matter and transition densities of target nuclei obtained by the structure model calculation of antisymmetrized molecular dynamics. The calculated result reasonably reproduces the elastic and inelastic proton scattering cross sections, and supports the dominant contribution of neutron in the $2^+_1$ excitation of $^{12}$Be and $^{16}$C as well as $^{18}$O. Sensitivity of the inelastic scattering cross sections to the neutron transition density is discussed. The exotic feature of the neutron transition density with the amplitude in the outer region in $^{12}$Be and $^{16}$C is focused.