# Criticality in the configuration-mixed interacting boson model : (1) $U(5)-\hat{Q}(\chi)\cdot\hat{Q}(\chi)$ mixing

Abstract : The case of U(5)--$\hat{Q}(\chi)\cdot\hat{Q}(\chi)$ mixing in the configuration-mixed Interacting Boson Model is studied in its mean-field approximation. Phase diagrams with analytical and numerical solutions are constructed and discussed. Indications for first-order and second-order shape phase transitions can be obtained from binding energies and from critical exponents, respectively.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00153899
Contributor : Michel Lion <>
Submitted on : Tuesday, June 12, 2007 - 10:57:17 AM
Last modification on : Thursday, February 1, 2018 - 1:34:22 AM

### Citation

V. Hellemans, P. van Isacker, S. de Baerdemacker, K. Heyde. Criticality in the configuration-mixed interacting boson model : (1) $U(5)-\hat{Q}(\chi)\cdot\hat{Q}(\chi)$ mixing. Nuclear Physics A, Elsevier, 2007, 789, pp.164-181. ⟨10.1016/j.nuclphysa.2007.04.003⟩. ⟨in2p3-00153899⟩

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