Abstract
The energy of the first excited states of even-even nuclei, and the probability of the electromagnetic transition between this and the ground states are calculated. The calculation covers almost all the known vibrational even- even nuclei, and is performed by assuming that the effective interaction is a sum of the pair and Q-Q interactions, and by employing the Bardeen-Cooper-Schrieffer and Sawada approximations. The agreement of the obtained results with experiments are in general good, although it becomes poor for cases which have a smaller number of nucleon outside closed shells. For such cases rigorous shell model calculation is also performed and comparing the results with the approximate ones, discussions on the validity of those approximations are made. (auth)
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