Bohr Hamiltonian with Hulthen plus ring-shaped potential for triaxial nuclei with deformation-dependent mass term

TL;DR

This paper introduces a new Bohr Hamiltonian model for triaxial nuclei incorporating deformation-dependent mass and Hulthén potential, providing improved agreement with experimental energy spectra and transition rates.

Contribution

The development of the Z(5)-HD model combining DDM formalism with Hulthén potential for better nuclear structure predictions.

Findings

Enhanced agreement with experimental data.

Improved energy spectra and B(E2) transition rates.

Outperforms previous Z(5) models.

Abstract

In this work, we present a new version of the Bohr collective Hamiltonian for triaxial nuclei within Deformation-Dependent Mass formalism (DDM) using the Hulth\'en potential. We shall call the developed model Z(5)-HD. Analytical expressions for energy spectra are derived by means of the recent version of the Asymptotic Iteration Method. The calculated numerical results of energies and B(E2) transition rates are compared with the experimental data, and several theoretical results from Z(5) model, the model Z(5)-H using the Hulth\'en potential without DDM formalism as well as theoretical predictions of Z(5)-DD model with Davidson potential using DDM formalism. The obtained results show an overall agreement with experimental data and an important improvement in respect to the other models.