Eur. Phys. J. Plus (2019) 134: 72
https://doi.org/10.1140/epjp/i2019-12443-3

Regular Article

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

¹ Amity Institute of Nuclear Science and Technology, Amity University, 201303, Noida, Uttar Pradesh, India
² Department of Physics and Astrophysics, University of Delhi, 110007, Delhi, India

^* e-mail: agoel1@amity.edu

Received: 16 February 2018
Accepted: 2 December 2018
Published online: 20 February 2019

Abstract

The band-head spin 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 -ray energies and the spins of the TSD bands for Tm, Lu and Hf isotopes are obtained. The ratio of transition energies over spin 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 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.