Abstract
The Dyson boson mapping is applied to the analysis of the coupling between the quadrupole phonon mode and the pairing-vibrational modes. The original fermion (quasiparticle) space consisting of a product of multi-quadrupole-phonon space and multi-pairing-vibration space is transformed into a boson space by the Dyson boson mapping. In this boson space, numerical analyses are carried out for the cases of the Ge and Se isotopes. The results show that the so-called “mysterious” 0 + states in the Ge and Se isotopes are reasonably explained and that the Dyson boson mapping is quite applicable to analyses of the couplings between various kinds of collective modes.
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