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

TL;DR

This paper introduces a quantum mechanically quantized model of nuclear stretching to better describe the rotational spectra of even-even nuclei in the rare earth and actinide regions, improving agreement with experimental data.

Contribution

It presents a new formula based on quantized nuclear stretching that accurately models the moment of inertia's dependence on angular momentum in these nuclei.

Findings

The new formula fits experimental data well up to I=16.

Quantized stretching improves the description of deviation from the I(I+1) rule.

Applicable to nuclei with R between 2.9 and 3.3.

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.