Criticality in the configuration-mixed interacting boson model : (1) $U(5)-\hat{Q}(Ï)\cdot\hat{Q}(Ï)$ mixing
arXiv:0705.2544 · doi:10.1016/j.nuclphysa.2007.04.003 10.1016/j.nuclphysa.2007.12.003
Abstract
The case of U(5)--$\hat{Q}(Ï)\cdot\hat{Q}(Ï)$ 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.