Description of heavy deformed nuclei within the pseudo-SU(3) shell model

TL;DR

This paper reviews the pseudo-SU(3) shell model's application to heavy deformed nuclei, demonstrating its effectiveness in describing spectra and electromagnetic transitions, and establishing a systematic parameter selection method within an algebraic framework.

Contribution

It introduces a systematic approach for applying the pseudo-SU(3) shell model to heavy nuclei, including parameter selection and predictions of deformation onset.

Findings

Successful description of low energy spectra and transition probabilities.

Identification of a systematic parameter choice method.

Prediction of deformation onset in rare earth nuclei.

Abstract

We present a review of the pseudo-SU(3) shell model and its application to heavy deformed nuclei. The model have been applied to describe the low energy spectra, B(E2) and B(M1) values. A systematic study of each part of the interaction within the Hamiltonian was carried out. The study leads us to a consistent method of choosing the parameters in the model. A systematic application of the model for a sequence of rare earth nuclei demonstrates that an overarching symmetry can be used to predict the onset of deformation as manifested through low-lying collective bands.The scheme utilizes an overarching sp(4,R) algebraic framework.