Eur. Phys. J. Plus (2017) 132: 171
https://doi.org/10.1140/epjp/i2017-11445-5

Regular Article

Bohr Hamiltonian with hyperbolic Pöschl-Teller potential for triaxial nuclei

Physics Department, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran

^* e-mail: lnaderil70@gmail.com

Received: 9 January 2017
Accepted: 11 March 2017
Published online: 13 April 2017

Abstract

The Bohr Hamiltonian for the triaxial nuclei with Pöschl-Teller potential for the -part and a harmonic oscillator around for the -part is solved. An approximate separation of the variables occurs when the potential has the form . The -part has been solved using the Nikiforov-Uvarov method. The total wave function has been derived and an expression for the total energy is represented. The electric quadrupole transition rates are evaluated. The spectra and B(E2) s are compared to the experimental data.