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

The quadrupole deformation β are extracted independently from energy and transition rates. The set of asymmetric parameters γ are obtained from energy ratio R2(=E2+/E1+) . It is observed that the set of β values evaluated from B(E2) are closer to the values of β extracted from E21+ 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 I o  (=J 0 /ℏ 2 ) generating the yrast band in these nuclei is evaluated from E21+ 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 E21+ B(E2; 01+→21+) and asymmetric deformation γ that enables one to predict B(E2; 01+→21+) , the static quadrupole moment Q0 and quadrupole deformation β of those nuclei whose only E21+ is known.

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