In search of empirical rule relating E2_1 ~+ and B (E2; 0_1 ~+ → 2_1 ~+) in asymmetric even-even nuclei of mass region A = 90-120

摘要

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 /a.,? 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 I_0 values have good correlations with N_pN_n. In addition, β and I_0 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 Q_0 and quadrupole deformation β of those nuclei whose only E21+ is known.