The nuclear softness (NS) formula, semiclassical particle rotor model (PRM) and modified exponential model with pairing attenuation are used for the systematic study of the identical superdeformed bands in the A∼150 mass region. These formulae/models are employed to study the identical superdeformed bands relative to the yrast SD band 152 Dy(1), { 152 Dy(1), 151 Tb(2)}, { 152 Dy(1), 151 Dy(4)} (midpoint), { 152 Dy(1), 153 Dy(2)} (quarter point), { 152 Dy(1), 153 Dy(3)} (three-quarter point). The parameters, baseline moment of inertia ( 0 I ), alignment (i) and effective pairing parameter (Δ 0 ) are calculated using the least-squares fitting of the γ-ray transitions energies in the NS formula, semiclassical-PRM and modified exponential model with pairing attenuation, respectively. The calculated parameters are found to depend sensitively on the proposed baseline spin (I 0 ).
Two parameter expressions for rotational spectra viz. variable moment of inertia (VMI), ab formula and three parameter Harris ω 2 expansion are used to assign the band head spins (I0) of four rotational superdeformed bands in 86 Zr. The least-squares fitting method is employed to obtain the band head spins of these four bands in the A ∼ 80 mass region. Model parameters are extracted by fitting of intraband γ-ray energies, so as to obtain a minimum root-mean-square (rms) deviation between the calculated and the observed transition energies. The calculated transition energies are found to depend sensitively on the assigned spins. Whenever an accurate band head spin is assigned, the calculated transition energies are in agreement with the experimental transition energies. The dynamic moment of inertia is also extracted and its variation with rotational frequency is investigated. Since a better agreement of band head spin with experimental results is found using the VMI model, it is a more powerful tool than the ab formula and Harris ω 2 expansion.
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