K. Nomura, R. Rodriguez-Guzman, L. M. Robledo
The coexistence of prolate and oblate geometrical shapes in the neutron-deficient mercury isotopes is analyzed on the basis of the Gogny energy density functional. Level energies and transition rates are calculated within the interacting boson model (IBM) with configuration mixing, whose parameters are determined by mapping the potential energy surface, obtained from the constrained self-consistent mean-field calculation employing the Gogny D1M functional, onto the IBM analog. The triaxial degree of freedom turns out to play an important role in the description of the shape coexistence and the configuration mixing in the considered mercury nuclei. An optimal choice of the configuration mixing IBM Hamiltonian is suggested, that meets the indication of the Gogny-D1M energy surface. The collective low-lying structure in the considered mercury chain is described nicely without adjustment, in particular the oblate-prolate band structures of the near mid-shell nuclei $^{184-188}$Hg.
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http://arxiv.org/abs/1211.7243
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