Bohr Hamiltonian for gamma=0 with Davidson Potential
Nuclear Theory
2017-01-02 v1
Abstract
A gamma-rigid solution of the Bohr Hamiltonian is derived for gamma=0 utilizing the Davidson potential in the beta 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. BE(2) 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.
Cite
@article{arxiv.1612.09484,
title = {Bohr Hamiltonian for gamma=0 with Davidson Potential},
author = {I. Yigitoglu and M. Gokbulut},
journal= {arXiv preprint arXiv:1612.09484},
year = {2017}
}