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arXiv · 2101.05980

The effect of the quantization of the centrifugal stretching on the analysis of rotational spectra of even-even deformed nuclei in rare earth and actinide regions

Abdurahim A. Okhunov·Mohd Kh. M. Abu El Sheikh
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Abstract

Deviation from the I(I+1) rule in the even-even isotopes 62Sm, 64Gd, 66Dy, 68Er, 70Y b, 72Hf, 74W and 76Os nuclei have been studied with a new approach based on the idea that the rotational nucleus being stretched out along the symmetry axis, where such stretching is treated according to quantum mechanics. This approach led to a new formula that describes the dependence of the moment of inertia on the angular momentum, and such formula works well for all even-even nuclei in the actinide and rare-earth region in the range 2.9<R<3.3. The calculations were carried out with the stretched model where the stretching of the nucleus with the rotation is quantized. The obtained results with a new derived formula which gives a reasonable agreement with the experimental date for all I up to 16.

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Abdurahim A. Okhunov, Mohd Kh. M. Abu El Sheikh. 2021-01-15. The effect of the quantization of the centrifugal stretching on the analysis of rotational spectra of even-even deformed nuclei in rare earth and actinide regions. https://arxiv.org/abs/2101.05980

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