Description of shape coexistence in ${}^{96}$Zr based on the collective quadrupole Bohr Hamiltonian

Abstract

Experimental data on ${}^{96}$Zr indicate coexisting spherical and deformed structures with small mixing amplitudes. We investigate the properties of the low-lying collective states of ${}^{96}$Zr based on the collective quadrupole Bohr Hamiltonian. The $\beta$-dependent collective potential having two minima -- spherical and deformed, is fixed so to describe experimental data in the best way.Good agreement with the experimental data on the excitation energies, $B(E2)$ and $B(M1)$ reduced transition probabilities is obtained. It is shown that the low-energy structure of ${}^{96}$Zr can be reproduced in a satisfactory way in the geometrical model with a potential function supporting shape coexistence. However, the excitation energy of the $2_2^{+}$ state can be reproduced only if the rotation inertia coefficient is taken five times smaller then the vibrational one in the region of the deformed well. It is shown also that shell effects are important for the description of the $B(M1;2_2^{+}\to 2_1^{+})$ value. An indication on the influence of the pairing vibrational mode on the ${\rho }^2(0_2^{+}\to 0_1^{+})$ value is obtained.

arXiv comment6 pages, 3 figures

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Cited by in corpus (6)

• The quest of shape coexistence in Zr isotopes
• Shape coexistence in even-even nuclei: A theoretical overview
• Shape phase transitions in odd-A Zr isotopes
• Description of the low-lying collective states of ${}^{96}$Zr based on the quadrupole-collective Bohr Hamiltonian
• Evolution of the phenomenologically determined collective potential along the chain of Zr isotopes
• Influence of triaxiality on the description of low-energy excitation spectrum of ${}^{96}$Zr