# Phase transitions in the $sdg$ interacting boson model

Abstract : A geometric analysis of the $sdg$ interacting boson model is performed. A coherent-state is used in terms of three types of deformation: axial quadrupole ($\beta_2$), axial hexadecapole ($\beta_4$) and triaxial ($\gamma_2$). The phase-transitional structure is established for a schematic $sdg$ hamiltonian which is intermediate between four dynamical symmetries of U(15), namely the spherical ${\rm U}(5)\otimes{\rm U}(9)$, the (prolate and oblate) deformed ${\rm SU}_\pm(3)$ and the $\gamma_2$-soft SO(15) limits. For realistic choices of the hamiltonian parameters the resulting phase diagram has properties close to what is obtained in the $sd$ version of the model and, in particular, no transition towards a stable triaxial shape is found.
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Journal articles

Cited literature [42 references]

http://hal.in2p3.fr/in2p3-00422088
Contributor : Michel Lion <>
Submitted on : Monday, October 5, 2009 - 4:48:13 PM
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### Citation

P. van Isacker, A. Bouldjedri, S. Zerguine. Phase transitions in the $sdg$ interacting boson model. Nuclear Physics A, Elsevier, 2010, 836, pp.225-241. ⟨10.1016/j.nuclphysa.2010.01.247⟩. ⟨in2p3-00422088⟩

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