Lecturer:  Noam Gavrielov
Abstract: 
Quantum phase transitions (QPTs) are a highly investigated phenomenon in 
nuclear physics, both theoretically and experimentally, where many rare isotope 
beam facilities investigate a plethora of nuclei in order to understand their 
evolution in shape and shape coexistence that includes multiple shell model 
configurations. In this talk I will discuss my attempt to understand such 
phenomenon using algebraic frameworks. Specifically, I will present the 
interacting boson model (IBM) for even-even nuclei. This model allows one to 
investigate a vast array of phenomena with a great insight on the symmetry 
structure of the nucleus and at a low computational cost. Using an extension 
of this framework to multiple configurations named the IBM with configuration 
mixing (IBM-CM), I will present my work on the chain of zirconium isotopes 
(Z=40) with mass numbers A=92-110 and the manifestation of the new notion of 
intertwined quantum phase transitions (IQPTs). IQPT is a situation where a QPT 
involving a crossing of two configurations is accompanied by a shape evolution 
of each configuration with its own separate QPT. Furthermore, I will focus on 
my ongoing project developed at Yale, introducing a novel model for 
configuration mixing in odd-mass nuclei, termed the interacting boson-fermion 
model with configuration mixing (IBFM-CM). Using this framework, I will present 
my work on the odd-mass niobium isotopes (Z=41) with mass numbers A=93-103 and 
the manifestation of IQPTs within this chain of isotopes. To conclude, I will 
provide a brief overview of my other ongoing projects and some prospective ones 
at the Grand Accelerateur National d'Ions Lourds (GANIL).