Eur. Phys. J. Plus (2017) 132: 240
https://doi.org/10.1140/epjp/i2017-11493-9

Regular Article

Analytical solution of Bohr Hamiltonian and extended form of sextic potential using bi-confluent Heun functions

¹ Physics Department, Shahrood University of Technology, P. O. Box: 3619995161-316, Shahrood, Iran
² Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba PMB 5323, Port Harcourt, Nigeria

^* e-mail: hadisobhani8637@gmail.com

Received: 6 January 2017
Accepted: 7 April 2017
Published online: 29 May 2017

Abstract

In this article, the Bohr Hamiltonian is analytically solved by considering the extended form of the sextic potential. This kind of potential in special cases can recover Davidson, sextic and harmonic potentials. To obtain the analytical solution of the considered system, we used bi-confluent Heun functions. Furthermore, some numerical results are calculated according to the results for some isotopes of xenon and platinum.