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

Abstract

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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Funding

This work was supported by the Ministry for Innovation Development of the Republic of Uzbekistan (grant OT no. F2-14).

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Correspondence to M. S. Nadirbekov.

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Nadirbekov, M.S., Kudiratov, S.N. & Temirov, F.N. \({\Delta}{I=1}\) Staggering Effect in the Energy Spectrum of the \({\gamma}\) Band of Heavy Even–Even Nuclei. Phys. Atom. Nuclei 83, 841–848 (2020). https://doi.org/10.1134/S1063778820050166

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