Bohr Hamiltonian for with Davidson potential

Ibrahim Yigitoglu; Melek Gokbulut

doi:10.1140/epjp/i2018-11969-0

EPJ

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2024 Impact factor 2.9

EPJ PLUS - Condensed Matter and Complex Systems

Eur. Phys. J. Plus (2018) 133: 129
https://doi.org/10.1140/epjp/i2018-11969-0

Regular Article

Bohr Hamiltonian for $\gamma = 30^{\circ}$ with Davidson potential

Ibrahim Yigitoglu^* and Melek Gokbulut

Department of Physics, Faculty of Arts and Sciences, Gaziosmanpasa̧ University, 60250, Tokat, Turkey

^* e-mail: ibrahim.yigitoglu@gop.edu.tr

Received: 26 January 2018
Accepted: 3 March 2018
Published online: 28 March 2018

Abstract

A $\gamma$ -rigid solution of the Bohr Hamiltonian for $\gamma = 30^{\circ}$ is constructed with the Davidson potential in the $\beta$ part. This solution is going to be called $Z(4)$ -D. The energy eigenvalues and wave functions are obtained by using the analytic method developed by Nikiforov and Uvarov. The calculated intraband and interband $B(E2)$ transitions rates are presented and compared with the $Z(4)$ model predictions. The staggering behavior in $\gamma$ -bands is considered to search Z(4) -D candidate nuclei. A variational procedure is applied to demonstrate that the $Z(4)$ model is a solution of the critical point at the shape phase transition from spherical to rigid triaxial rotor.