Abstract
Using a theory of mode-mode coupling between the two-phonon 0 + mode and the pairing-vibrational mode, we have extensively investigated the first excited 0 +(0 2 2) states in spherical and transitional nuclei. The results tell us that the 0 2 + states in a wide range of nuclei are strongly mixed states of both the modes. By making use of these results, the matrix elements for the E0 transitions from the 0 2 + states to the ground states are calculated for the Zn, Ge, Se, Kr, Sr, Zr, Mo, Ru, Pd, Cd and Sn isotopes. For some of the Cd and Sn isotopes, the matrix elements between the 0 2 + and 0 2 + states are also obtained. These numerical calculations make a rather good fit to the E0 experiments.
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