Excited collective states of nuclei within Bohr Hamiltonian with Tietz-Hua potential

TL;DR

This paper derives new analytical solutions for the Bohr Hamiltonian using the Tietz-Hua potential for the {eta}-part and compares the results with other models and experimental data, focusing on energy spectra and transition probabilities.

Contribution

It introduces an analytical solution of the Bohr Hamiltonian with the Tietz-Hua potential and systematically compares its predictions with other models and experimental results.

Findings

The Tietz-Hua potential provides accurate energy spectra for nuclei.

Transition probabilities are sensitive to the shape of the {eta}-potential.

The model successfully describes {eta}-unstable and axially symmetric nuclei.

Abstract

In this paper, we present new analytical solutions of the Bohr Hamiltonian problem that we derived with the Tietz-Hua potential, here used for describing the {\beta}-part of the nuclear collective potential plus harmonic oscillator one for the {\gamma}-part. Also, we proceed to a systematic comparison of the numerical results obtained with this kind of {\beta}-potential with others which are widely used in such a framework as well as with the experiment. The calculations are carried out for energy spectra and electromagnetic transition probabilities for {\gamma}-unstable and axially symmetric deformed nuclei. In the same frame, we show the effect of the shape flatness of the {\beta}-potential beyond its minimum on transition rates calculations.