Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

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K. A. Gado<sup>1,2,*

1</sup> Department of Physics, Faculty of Science and Arts, Al-Mikhwah, Al-Baha University, Al-Baha, Saudi Arabia
² Basic Sciences Department, Bilbeis Higher Institute for Engineering, Bilbeis, Sharqia, Egypt

^*Corresponding author. E-mail address: qjado76@gmail.com

Abstract: For superdeformed (SD) bands ⁵⁸Ni (b₁), ⁵⁸Cu, ⁵⁹Cu (b₁), ⁶¹Zn, ⁶²Zn, ⁶⁵Zn, ⁶⁸Zn, ⁸⁴Zr, ⁸⁶Zr (b₁), ⁸⁸Mo (b₁, b₂, b₃) and ⁸⁹Tc in the A ≈ 60 - 90 mass region, the nuclear softness (NS) parameter, σ, has been calculated using the VMINS3 model. The SD bands ⁵⁸Ni (b₁), ⁵⁸Cu, ⁵⁹Cu (b₁), ⁶²Zn, ⁶⁵Zn, and ⁸⁸Mo (b₂, b₃) have NS parameter values that are greater than those of the normal deformed bands, indicating smaller rigidity. The fluctuation of the NS parameter versus the gamma energy ratio, R, of SD bands in the A ≈ 60 - 90 mass region is one of the study's findings. The ratio of transition energies was used to calculate the band head spin, I₀, by the Descartes method (the greatest technique to solve the quartic equation based on an auxiliary cubic equation) which was then confirmed by root mean square deviations. The estimated and observed transition energies are in good agreement.

Keywords: variable moment of inertia model, nuclear softness, spin assignment.

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