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
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.
© SIF, Springer-Verlag Berlin Heidelberg, 2015