Eur. Phys. J. A (2015) 51: 131
https://doi.org/10.1140/epja/i2015-15131-y

Regular Article - Theoretical Physics

Bohr Hamiltonian with Hulthén plus ring-shaped potential for triaxial nuclei

High Energy Physics and Astrophysics Laboratory, Department of Physics, Faculty of Sciences Semlalia, Cadi Ayyad University, P. O. B. 2390, 40000, Marrakesh, Morocco

^* e-mail: oulne@uca.ma

Received: 22 June 2015
Revised: 24 August 2015
Accepted: 14 September 2015
Published online: 23 October 2015

Abstract

In this paper, we solve the eigenvalues and eigenvectors problem with the Bohr collective Hamiltonian for triaxial nuclei. The β-part of the collective potential is taken to be equal to the Hulthén potential while the γ-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.