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$${\Delta}{I=1}$$ Staggering Effect in the Energy Spectrum of the $${\gamma}$$ Band of Heavy Even–Even Nuclei

M. S. NadirbekovInstitute of Nuclear Physics, Academy of Sciences of Uzbekistan, Ulugbek, Tashkent, UzbekistanS. N. KudiratovInstitute of Nuclear Physics, Academy of Sciences of Uzbekistan, Ulugbek, Tashkent, UzbekistanF N TemirovSamarkand State Medical Institute, Samarkand, Uzbekistan
Physics of Atomic Nucleijournal2020en
ABI

Аннотация

Quadrupole-type collective excitations of even–even nuclei are studied in the free-triaxiality approximation. The zigzagging behavior of the $$\Delta I=1$$ staggering effects in the energy spectrum of collective excitations of the $$\gamma$$ bands of heavy even–even $${}^{152}$$ Sm, $${}^{156}$$ Dy, $${}^{164,166}$$ Er, and $${}^{230}$$ Th nuclei is considered in this approximation. The first- and second-order terms in the expansion of the rotational-energy operator in the variable $$\gamma$$ are taken into account in describing the energies of levels of these nuclei. It is shown that the $$\Delta I=1$$ staggering effect occurs in the case of a strong coupling between the ground-state and $$\gamma$$ bands in the limit of $$SU$$ (3) dynamical symmetry.

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