Eur. Phys. J. Plus (2016) 131: 133
https://doi.org/10.1140/epjp/i2016-16133-4

Regular Article

Bohr Hamiltonian with Eckart potential for triaxial nuclei

Physics Department, Shahrood University of Technology, Shahrood, Iran

^* e-mail: lnaderil70@gmail.com

Received: 2 December 2015
Revised: 28 February 2016
Accepted: 18 March 2016
Published online: 5 May 2016

Abstract

In this paper, the Bohr Hamiltonian has been solved using the Eckart potential for the -part and a harmonic oscillator for the -part of the Hamiltonian. The approximate separation of the variables has been possible by choosing the convenient form for the potential . Using the Nikiforov-Uvarov method the eigenvalues and eigenfunctions of the eigenequation for the -part have been derived. An expression for the total energy of the levels has been represented.