Abstract
The Cd puzzle implies that the phonon excitation of a spherical nucleus should be questioned and re-futed.To understand the newly and experimentally discovered spherical-like y-soft mode,the SU3-IBM was re-cently proposed.In this study,the evolutions of the normal states in 108-120Cd are investigated and compared with the experimental results.To better explain the nearly zero B(E2)values between the 02+and 2 1+states,SU(3)higher-order interactions except for the SU(3)second-order and third-order Casimir operators are also considered in detail.We find that the results of theoretical fitting and experimental data agree well with simple parameter selection,and the spherical-like spectra truly exist.The deficiency may arise from the lack of configuration mixing.The realistic spectra characteristics of the spherical-like spectra are found for 118,120 Cd,and the electric quadrupole moments of the 2 1+state are predicted.The Q2 1+anomaly in 108-116 Cd is also discussed.
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