Bohr Hamiltonian with Hulth?en plus Ring shaped potential for triaxial nuclei

TL;DR

This paper develops an analytical solution for the Bohr Hamiltonian applied to triaxial nuclei using a Hulthén potential for beta vibrations and a ring-shaped potential for gamma vibrations, providing spectra and transition rates.

Contribution

It introduces a new combined potential model for triaxial nuclei and derives analytical expressions for spectra and wave functions using the asymptotic iteration method.

Findings

Calculated energies agree with experimental data

Transition rates match theoretical predictions

New potential model improves understanding of triaxial nuclei

Abstract

In this paper, we solve the eigenvalues and eigenvectors problem with Bohr collective Hamil- tonian for triaxial nuclei. The ? beta part of the collective potential is taken to be equal to Hulth?en potential while the gamma part is defined by a new generalized potential obtained from a ring shaped one. Analytical expressions for spectra and wave functions are derived by means of a recent version of the asymptotic iteration method and the usual approximations. The calculated energies and B(E2) transition rates are compared with experimental data and the available theoretical results in the literature.