Eur. Phys. J. Plus (2016) 131: 5
https://doi.org/10.1140/epjp/i2016-16005-y

Regular Article

Bohr Hamiltonian and the energy spectra of the triaxial nuclei

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

^* e-mail: lnaderil70@gmail.com

Received: 16 November 2015
Accepted: 25 November 2015
Published online: 8 January 2016

Abstract

A Bohr Hamiltonian, with a potential including a displaced harmonic oscillator plus a Coulomb-like term and a centrifuge term for the -part and a harmonic oscillator centered around for the -part, which can be approximately separated, has been solved for the -part and -part. The part related to the collective -variable has been chosen in such a way that the model describes the triaxial nuclei. The eigenfunctions and eigenvalues of the energy have been obtained. An analytical expression for the total energy spectra is given.