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Analysis of the shape evolution phenomena in $^{96}$Zr and $^{96}$Mo based on the collective Bohr Hamiltonian

M. A. Mardyban$^{1,2}$, D. A. Sazonov$^{1,2}$, T. M. Shneydman$^1$, E. A. Kolganova$^{1,2}$, R. V. Jolos$^{1,2}$

Memoirs of the Faculty of Physics 2019. N 6.

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Annotation

The observed properties of the low-lying collective excitations of $^{96}$Zr and $^{96}$Mo are investigated in the framework of the collective quadrupole nuclear model with the Bohr Hamiltonian, whose potential energy has two minima – spherical and deformed. Satisfactory description of the excitation energies and transition probabilities is obtained. It is shown that in the case of $^{96}$Zr both minima are sufficiently deep. However, in the case of $^{96}$Mo a deformed minimum is only outlined.

Received: 2019 June 20
Approved: 2019 November 28
PACS:
21.10.Re Collective levels
21.10.Ky Electromagnetic moments
21.60.Ev Collective models
Authors
M. A. Mardyban$^{1,2}$, D. A. Sazonov$^{1,2}$, T. M. Shneydman$^1$, E. A. Kolganova$^{1,2}$, R. V. Jolos$^{1,2}$
$^1$Joint Institute for Nuclear Research\
$^2$State university "Dubna"\
$^3$Kazan Federal University, Institute of Geology and Petroleum Technologies
Issue 6, 2019

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