https://doi.org/10.1140/epjp/i2017-11609-3
Regular Article
Bohr Hamiltonian for 
with Davidson potential
Department of Physics, Faculty of Arts and Sciences, Gaziosmanpasa University, 60250, Tokat, Turkey
* e-mail: ibrahim.yigitoglu@gop.edu.tr
Received:
5
April
2017
Accepted:
24
June
2017
Published online:
10
August
2017
A 
-rigid solution of the Bohr Hamiltonian is derived for 
utilizing the Davidson potential in the 
variable. This solution is going to be called X(3)-D. The energy eigenvalues and wave functions are obtained by using an analytic method which has been developed by Nikiforov and Uvarov. B(E2) transition rates are calculated. A variational procedure is applied to energy ratios to determine whether or not the X(3) model is located at the critical point between spherical and deformed nuclei. The agreement with the experiment is achieved.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, 2017
