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

Full text (en)

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: We are currently applying the variable moment of inertia model to nuclei in mass region A ∼ 60 - 90 in order to improve spectroscopic analysis of its rotational bands in the superdeformed region, which in turn is helpful in the band head spin prediction and other spins for superdeformed bands. The moment of inertia of the ground state, ϑ₀ and restoring force constant, C, were calculated by fitting the observed transition energies. The band head spin, I₀ was determined in terms of the ratio of transition energies, verified by root mean square deviations. We verified that the observed high spin superdeformed bands display a near-rigid rotor behavior by studying transition energies over twice the angular momentum (RTEOS). The calculated and observed transition energies agree well.

Keywords: cluster radioactivity, halo nuclei, superheavy elements.

2. M.A. Bentley et al. Intrinsic quadrupole moment of the superdeformed band in ¹⁵²Dy. Phys. Rev. Lett. 59 (1987) 2141. https://doi.org/10.1103/PhysRevLett.59.2141

3. A.V. Afanasjev, J. König, P. Ring. Superdeformed rotational bands in the A ∼ 140 - 150 mass region: A cranked relativistic mean field description. Nucl. Phys. A 608 (1996) 107. https://doi.org/10.1016/0375-9474(96)00272-2

4. B. Singh, R.B. Firestone, S.Y.F. Chu. Table of superdeformed nuclear bands and fission isomers. Nucl. Data Sheets 78 (1996) 1. https://doi.org/10.1006/ndsh.1996.0008

5. C.E. Svensson et al. Decay out of the doubly magic superdeformed band in the N = Z nucleus ⁶⁰Zn. Phys. Rev. Lett. 82 (1999) 3400. https://doi.org/10.1103/PhysRevLett.82.3400

6. Z.X. Hu, J.Y. Zeng. Comparison of the Harris and ab expression for the description of nuclear superdeformed rotational bands. Phys. Rev. C 56 (1997) 2523. https://doi.org/10.1103/PhysRevC.56.2523

7. T. Bäck et al. Observation of superdeformed states in ⁸⁸Mo. Eur. Phys. J. A 6 (1999) 391. https://doi.org/10.1007/s100500050361

8. F.S. Stephens. Spin alignment in superdeformed rotational bands. Nucl. Phys. A 520 (1990) c91. https://doi.org/10.1016/0375-9474(90)91136-F

9. J.A. Becker et al. Level spin and moments of inertia in superdeformed nuclei near A = 194. Nucl. Phys. A 520 (1990) c187. https://doi.org/10.1016/0375-9474(90)91146-I

10. C.S. Wu et al. Spin determination and calculation of nuclear superdeformed bands in A ∼ 190 region. Phys. Rev. C 45 (1992) 261. https://doi.org/10.1103/PhysRevC.45.261

11. M.A.J. Mariscotti, G. Scharff-Goldhaber, B. Buck. Phenomenological Analysis of Ground-State Bands in Even-Even Nuclei. Phys. Rev. 178 (1969) 1864. https://doi.org/10.1103/PhysRev.178.1864

12. A. Goel, U.V.S. Nair, A. Yadav. Band head spin assignment of Tl isotopes of superdeformed rotational bands. Cent. Eur. J. Phys. 12(9) (2014) 693. https://doi.org/10.2478/s11534-014-0499-y

13. A.S. Shalaby. Simple model calculations of spin and quantized alignment for the A ∼ 60 - 90 superdeformed mass region. Acta Phys. Hung. A 25 (2006) 117. https://doi.org/10.1556/APH.25.2006.1.11

14. K.A. Gado. Investigation of Identical Superdeformed Bands in Mass Region A ∼ 60 - 90 Using the Modified Simple Model. Under publication (2023).

15. N. Sharma et al. Empirical evidence for magic numbers of superdeformed shapes. Phys. Rev. C 87 (2013) 024322. https://doi.org/10.1103/PhysRevC.87.024322

16. A.S. Shalaby. Theoretical spin assignment and study of the A ∼ 100 - 140 superdeformed mass region by using ab formula. Int. J. Phys. Sci. 9 (2014) 154. https://doi.org/10.5897/IJPS2014.4121

17. V.S. Uma et al. Predicting superdeformed rotational band-head spin in A ∼ 190 mass region using variable moment of inertia model. Pramana J. Phys. 86 (2016) 185. https://doi.org/10.1007/s12043-015-1013-9