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arXiv · 1608.08674

Excited collective states of nuclei within Bohr Hamiltonian with Tietz-Hua potential

M. Chabab·A. El Batoul·M. Hamzavi·A. Lahbas·M. Oulne
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Abstract

In this paper, we present new analytical solutions of the Bohr Hamiltonian problem that we derived with the Tietz-Hua potential, here used for describing the {\beta}-part of the nuclear collective potential plus harmonic oscillator one for the {\gamma}-part. Also, we proceed to a systematic comparison of the numerical results obtained with this kind of {\beta}-potential with others which are widely used in such a framework as well as with the experiment. The calculations are carried out for energy spectra and electromagnetic transition probabilities for {\gamma}-unstable and axially symmetric deformed nuclei. In the same frame, we show the effect of the shape flatness of the {\beta}-potential beyond its minimum on transition rates calculations.

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M. Chabab, A. El Batoul, M. Hamzavi, A. Lahbas, M. Oulne. 2016-08-30. Excited collective states of nuclei within Bohr Hamiltonian with Tietz-Hua potential. https://doi.org/10.1140/epja/i2017-12343-1

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