@article{10272/5447, year = {2011}, url = {http://hdl.handle.net/10272/5447}, abstract = {An extension of the Consistent-Q formalism for the Interacting Boson Model that includes the cubic (^Q ^Q ^Q)(0) term is proposed. The potential energy surface for the cubic quadrupole interac- tion is explicitly calculated within the coherent state formalism using the complete ( x-dependent) expression for the quadrupole operator. The Q-cubic term is found to depend on the asymmetry deformation parameter as a linear combination of cos (3 ) and cos2 (3 ) 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 de ne 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.}, organization = {We acknowledge enlightening conversations on this topic with F. Iachello. This work has been partially supported by the Italian Istituto Nazionale di Fisica Nucleare (INFN)-Spanish Ministerio de Ciencia Y Tecnologia (MCYT) scientific agreements (No. ACI2009-1047 and No. AIC10-D-000590), the Spanish Ministerio de Educacion y Ciencia and the European Regional Development Fund (FEDER) under Projects No. FIS2008-04189 and No. FPA2007-63074, the Consolider-Ingenio CPAN, No. CSD2007-00042, and the Junta de Andalucia under Projects No. FQM160, No. FQM318, No. P05-FQM437, and No. P07-FQM-02962. L.F. acknowledges support from the ECT* and FBK-Trento.}, publisher = {American Physical Society}, keywords = {Física nuclear}, keywords = {Bosones}, title = {Phase diagram for a Cubic Consistent-Q Interacting Boson Model Hamiltonian : signs of triaxiality}, author = {Fortunato, Lorenzo and Alonso, C. E. and Arias Carrasco, José Miguel and García Ramos, José Enrique and Viturri, A.}, }