Abstract
The Dyson boson mapping theory is applied to the analysis of the phase transition from vibrational to rotational spectra in the Sm isotopes. The original quasiparticle space consisting of multi-quadrupole collective-phonon states on the spherical shell-model bases is transformed into a boson space by the Dyson mapping. In this boson space, numerical analysis is carried out for 146–154Sm. In addition, the boson space is extended to contain non-collective phonon degrees of freedom and in this extended space the coupling effect between collective and non-collective phonons is precisely estimated. The numerical results show that the contribution from the noncollective phonon degrees of freedom cannot be neglected in the transitional region.
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