# Shell model based deformation analysis of light Cadmium isotopes

## TL;DR

This paper uses large-scale shell-model calculations to analyze the deformation properties of light Cadmium isotopes, successfully reproducing experimental data and exploring deformation trends across isotopes.

## Contribution

It introduces a detailed shell-model based deformation analysis of Cd isotopes using model-independent invariants, extending understanding of nuclear shape evolution.

## Key findings

- Reproduces experimental energy levels and B(E2) values accurately.
- Analyzes deformation parameters as functions of neutron number and spin.
- Provides insights into shape evolution in light Cadmium isotopes.

## Abstract

Large-scale shell-model calculations for the even-even Cadmium isotopes 98 Cd - 108 Cd have been performed with the ANTOINE code in the {\pi}(2p 1/2 ; 1g 9/2 ) {\nu}(2d 5/2 ; 3s 1/2 ; 2d 3/2 ; 1g 7/2 ; 1h 11/2 ) model space without further truncation. Known experimental energy levels and B(E2) values could be well reproduced. Taking these calculations as a starting ground we analyze the deformation parameters predicted for the Cd isotopes as a function of neutron number N and spin J using the methods of model independent invariants introduced by K. Kumar and D. Cline.