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Features of Triaxial Superdeformed Bands in Odd Mass Nuclei Using the Cranked Nilsson–Strutinsky Model

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Abstract

The axial asymmetry deformation parameter \(\gamma\), the gamma transition energies, rotational frequencies, kinematic and dynamic moments of inertia in triaxial superdeformed (TSD) odd \(Z\) \({}^{\mathrm{163,165}}\)Lu nuclei are calculated and analyzed using the cranked Nilsson–Strutinsky (CNS) model. The assigned spins and excitation energies of the TSD bands are determined by trial procedure. We considered that the valence proton occupies the strongly deformed 1/2 \(+\) [660] intruder orbital of the \(i_{13/2}\) level moving in triaxially SD potential and is coupled to a rotating core and the pairing correlations are neglected because they are of small importance in the spin range of interest. Around neutron numbers \(N\simeq 92\) and 94, there is a major shell gap which belongs to a family of superdeformed rotational bands (SDRB’s) with quadrupole deformation parameter \(\epsilon_{2}\simeq 0.4{-}0.5\), hexadecapole deformation parameter \(\epsilon_{4}\simeq 0.03\), and axial deformation \(\gamma=20^{\circ}\). The rigid rotor plot is performed to show the predicted energy levels with a rotational reference subtracted.

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Authors and Affiliations

  1. Physics Department Faculty of Science, Al-Azhar University, Cairo, Egypt

    H. A. Ghanim, M. Kotb & A. M. Khalaf

  2. Physics Department, Faculty of Science (Girls College), Al-Azhar University, Cairo, Egypt

    M. D. Okasha

Authors
  1. H. A. Ghanim
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  2. M. Kotb
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  3. M. D. Okasha
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  4. A. M. Khalaf
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Correspondence to M. Kotb.

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Ghanim, H.A., Kotb, M., Okasha, M.D. et al. Features of Triaxial Superdeformed Bands in Odd Mass Nuclei Using the Cranked Nilsson–Strutinsky Model. Phys. Atom. Nuclei 84, 433–440 (2021). https://doi.org/10.1134/S106377882104013X

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