# Elastic magnetic electron scattering from deformed nuclei

## TL;DR

This paper presents a deformed self-consistent mean-field model for elastic magnetic electron scattering from odd-A nuclei, demonstrating improved agreement with experimental data and potential for studying unstable nuclei in future experiments.

## Contribution

The paper introduces a deformed formalism based on Skyrme HF+BCS and cranking approximation that enhances the description of magnetic form factors in deformed nuclei.

## Key findings

- Deformed formalism improves agreement with experimental magnetic form factors.
- Model reproduces spherical nuclei by taking the spherical limit.
- Potential to explore unstable nuclei in future electron-radioactive beam experiments.

## Abstract

Magnetic form factors corresponding to elastic electron scattering from odd-A nuclei are presented. The calculations are carried out in plane-wave Born approximation. The one-body properties are obtained in a deformed self-consistent mean-field calculation based on a Skyrme HF+BCS method. Collective effects are also included in the cranking approximation. Results on several stable nuclei are compared with the available experimental information. It is shown that a deformed formalism improves the agreement with experiment in deformed nuclei, while reproducing equally well spherical nuclei by taking properly the spherical limit of the deformed model and the effect of nucleon-nucleon correlations. Thus, the capability of the model to describe magnetic form factors is demonstrated. This opens the door to explore also unstable nuclei of particular interest that could be measured in future experiments on electron-radioactive beam colliders.