Abstract
The Jacobi-type transitions (JTTs) in nuclei and their connections with excite-state quantum phase transitions (ESQPTs) have been investigated within the framework of the interacting boson model (IBM) by both the semiclassical analysis and quantal calculations. The results indicate that the quadrupole deformation of a transitional system may change from γ rigid to γ soft as the angular momentum increases. This change may in turn drive the JTTs to occur around the saddle point of the corresponding classical potential, where the precursors of ESQPT can be also identified even for a realistic boson number. A further comparison between the experimental data and the model predictions confirms that the JTT phenomena may widely occur in the rare-earth isotopes associated with the 1st-order quantum phase transitions.
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