Eur. Phys. J. A (2017) 53: 157
https://doi.org/10.1140/epja/i2017-12343-1

Regular Article - Theoretical Physics

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

¹ High Energy Physics and Astrophysics Laboratory, Faculty of Sciences Semlalia, Cadi Ayyad University, P.O.B. 2390, Marrakesh, Morocco
² Department of Physics, University of Zanjan, P.O. Box 45195-313, Zanjan, Iran

^* e-mail: oulne@uca.ma

Received: 8 March 2017
Accepted: 19 June 2017
Published online: 27 July 2017

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 -part of the nuclear collective potential plus that of the harmonic oscillator for the -part. Also, we proceed to a systematic comparison of the numerical results obtained with this kind of -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 -unstable and axially symmetric deformed nuclei. In the same frame, we show the effect of the shape flatness of the -potential beyond its minimum on transition rates calculations.