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Phase diagram for a cubic- Q interacting boson model Hamiltonian: Signs of triaxiality

 

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Opened Access Phase diagram for a cubic- Q interacting boson model Hamiltonian: Signs of triaxiality
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Author: Fortunato, Lorenzo
Alonso Alonso, Clara Eugenia
Arias Carrasco, José Miguel
García Ramos, José Enrique
Vitturi, Andrea
Department: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Date: 2011
Published in: Physical Review C - Nuclear Physics, 84 (1), 014326-1-014326-13.
Document type: Article
Abstract: An extension of the Interacting Boson Model that includes the cubic (QI×QI×Q I)(0) term is proposed. The potential energy surface for the cubic quadrupole interaction is explicitly calculated within the coherent state formalism using the complete (χ-dependent) expression for the quadrupole operator. The Q-cubic term is found to depend on the asymmetry deformation parameter γ as a linear combination of cos(3γ) and cos2(3γ) terms, thereby allowing for triaxiality. The phase diagram of the model in the large N limit is explored: The orders of the phase transition surfaces that define the phase diagram are described, and the possible nuclear equilibrium shapes are established. It is found that for this particular Hamiltonian, contrary to expectations, there is only a very tiny region of triaxiality, and that the transition from prolate to oblate shapes is so fast that, in most cases, the onset of triaxiality might go unnoticed.
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URI: http://hdl.handle.net/11441/57320

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