Quantum shape phase transitions from spherical to deformed for Bose-Fermi systems: the effect of the odd particle around the critical point
1 Institüt für Kernphysik, Universität zu Köln, D-50937 Köln, Germany
2 Department of Elementary Science Education, Faculty of Education Çanakkale Onsekiz Mart University, TR-17100 Çanakkale, Turkey
3 Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Sevilla, ES-41080 Sevilla, Spain
4 Dipartimento di Fisica e Astronomia “G.Galilei”, Università di Padova and INFN, Sezione di Padova, I-35131 Padova, Italy
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Published online: 20 March 2014
Quantum phase transitions in odd-nuclei are investigated within the framework of the interacting boson-fermion model with a description based on the concept of intrinsic states. We consider the case of a single j=9/2 odd-particle coupled to an even-even boson core that performs a transition from spherical to deformed prolate and to deformed gamma-unstable shapes varying a control parameter in the boson Hamiltonian. The effect of the coupling of the odd particle to this core is discussed along the shape transition and, in particular, at the critical point.
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