Bohr Hamiltonian for gamma=0 with Davidson Potential

I. Yigitoglu; M. Gokbulut

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arXiv · 1612.09484

Bohr Hamiltonian for gamma=0 with Davidson Potential

I. Yigitoglu·M. Gokbulut

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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.

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I. Yigitoglu, M. Gokbulut. 2016-12-29. Bohr Hamiltonian for gamma=0 with Davidson Potential. https://arxiv.org/abs/1612.09484

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