Energy staggering in superdeformed bands for isodiaphere nuclei in A ~ 40-60 mass region

Abo ElYazeed, Eman Reda; H. Soudii, Hager; Elrayen, D. A.; Yassin, Hayam

doi:10.21608/jsrs.2022.275774

Energy staggering in superdeformed bands for isodiaphere nuclei in A ~ 40-60 mass region

Document Type : Original Article

Authors

¹ Physics department, Faculty of women for arts, science and education. Cairo, Egypt

² Physics Department, Faculty of Women for Arts, Science and Education, Ain Shams University, Cairo, Egypt.

10.21608/jsrs.2022.275774

Abstract

The properties of superdeformed (SD) bands of isodiaphere nuclei (,,) have been studied in the scope of four and five parameters’ formulas of the Bohr-Mottelson collective model. The unknown parameters are obtained by fitting the experimental measurements of the gamma-ray transition energies using MATLAB software. The rotational frequency , the kinematic , and dynamic moments of inertia are determined by using the best fitted parameters. The obtained 𝛾-ray transition energies 𝐸𝛾 are in good agreement with the experimental measurements. Also, the theoretical results of the kinematic , and dynamic moments of inertia using both formulas agree well with the experimental data. The staggering phenomenon is represented by using various order derivatives of g-ray transition energies with respect to spin angular momentum I. We conclude that the five parameters formula of Bohr-Mottelson collective model successes in interpreting the appeared pairing correlations in the experimental measurements for the studied nuclei.

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