Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2011-03-24
Phys.Rev.C84:014326,2011
Physics
Nuclear Physics
Nuclear Theory
18 pages, 19 figures
Scientific paper
10.1103/PhysRevC.84.014326
An extension of the Consistent-Q formalism for the Interacting Boson Model that includes the cubic QxQxQ term is proposed. The potential energy surface for the cubic quadrupole interaction is explicitly calculated within the coherent state formalism using the complete chi-dependent expression for the quadrupole operator. The Q-cubic term is found to depend on the asymmetry deformation parameter gamma as a linear combination of cos(3gamma) and cos^2(3\gamma) terms, thereby allowing for triaxiality. The phase diagram of the model in the large N limit is explored, it is described the order of the phase transition surfaces that define the phase diagram, and moreover, the possible nuclear equilibrium shapes are established. It is found that, contrary to expectations, there is only a very tiny region of triaxiality in the model, and that the transition from prolate to oblate shapes is so fast that, in most cases, the onset of triaxiality might go unnoticed.
Alonso Clara E.
Arias José M.
Fortunato Lorenzo
Garcia-Ramos José-Enrique
Vitturi Andrea
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