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Prediction of band-head spin of triaxial super-deformed bands using the modified VMI model

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Abstract.

The band-head spin \( (I_{0})\) of triaxial super-deformed (TSD) bands recently available in the rare-earth region are evaluated by using the modified variable moment of inertia (VMI) model. Quantitatively good results of the \( \gamma\) -ray energies and the spins of the TSD bands for Tm, Lu and Hf isotopes are obtained. The ratio of transition energies over spin \( E_{\gamma}/2I\) is used to evaluate the correct spin of the band-head by the VMI equation. The calculated and observed transition energies agree quite well when the correct band-head spin \( (I_{0})\) is obtained. This method provides consistently good spin assignment of TSD bands which could help in designing future experiments for these bands. In the present paper, we have reported the band-head spin for 20 triaxial super-deformed bands known experimentally. Out of 20 bands, the band-head spin is assigned correctly for 16 TSD bands which match with the suggested values and for the rest of the 4 TSD cases the spin predicted is either higher or lower than the experimentally suggested value.

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Authors and Affiliations

  1. Amity Institute of Nuclear Science and Technology, Amity University, 201303, Noida, Uttar Pradesh, India

    Poonam Jain, V. S. Uma & Alpana Goel

  2. Department of Physics and Astrophysics, University of Delhi, 110007, Delhi, India

    S. K. Mandal

Authors
  1. Poonam Jain
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  2. V. S. Uma
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  3. Alpana Goel
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  4. S. K. Mandal
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Correspondence to Alpana Goel.

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Jain, P., Uma, V.S., Goel, A. et al. Prediction of band-head spin of triaxial super-deformed bands using the modified VMI model. Eur. Phys. J. Plus 134, 72 (2019). https://doi.org/10.1140/epjp/i2019-12443-3

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  • DOI: https://doi.org/10.1140/epjp/i2019-12443-3

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