In search of empirical rule relating E21+ and B(E2; 01+→21+) in asymmetric even–even nuclei of mass region A = 90–120

Abstract

The quadrupole deformation β are extracted independently from energy and transition rates. The set of asymmetric parameters γ are obtained from energy ratio [Formula: see text]. It is observed that the set of β values evaluated from B(E2) are closer to the values of β extracted from [Formula: see text] on considering the Grodzins empirical rule (Grodzins. Phys. Lett. 2, 88 (1962)) with uncertainty in even Mo, Ru, and Pd nuclei. The moment of inertia [Formula: see text] generating the yrast band in these nuclei is evaluated from [Formula: see text] using the asymmetric rotor model (Davydov and Filippov. Nucl. Phys. 8, 237 (1958)). The β, γ, and I0 values have good correlations with NpNn. In addition, β and I0 are related linearly in general. This systematic relate [Formula: see text] [Formula: see text] and asymmetric deformation γ that enables one to predict [Formula: see text], the static quadrupole moment Q0 and quadrupole deformation β of those nuclei whose only [Formula: see text] is known.