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Nuclear $β$- and $γ$- Collective Bands in the SU$_q$(2) Rotator Model

N. Minkov·S. B. Drenska·P. P. Raychev·R. P. Roussev·D. Bonatsos
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Abstract

The SU$_q$(2) rotator model is used for describing the $β_1$- and $γ_1$-bands of even-even rare earth and actinide collective nuclei. Good results are obtained in nuclei with valence pair number $N>10$. It is shown that in the excited bands the violation of the exact SU(2) symmetry is generally stronger than in the ground state bands, indicating the presence of a nonadiabatic perturbation caused by the excited vibrational degrees of freedom. The physical content of the parameter $q$ is discussed. Predictions of the SU$_q$(2) model for B(E2) intraband transitions in excited bands are presented and the need for specific experimental data is pointed out.

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N. Minkov, S. B. Drenska, P. P. Raychev, R. P. Roussev, D. Bonatsos. 1996-05-09. Nuclear $β$- and $γ$- Collective Bands in the SU$_q$(2) Rotator Model. https://arxiv.org/abs/nucl-th/9605013

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