10TH International workshop on quantum phase transitions in nuclei and many-body systems

Alternative prolate to oblate QPT scheme in odd systems, preliminary results

Not scheduled

20m

IUC

Novel aspects and signatures of QPTs in nuclei Novel aspects and signatures of QPTs in nuclei

Speaker

Prof. Lorenzo Fortunato (Dip. Fisica e Astronomia - Univ. Padova)

Description

I will illustrate an exactly solvable algebraic Hamiltonian for odd systems, that spans the prolate-to-oblate region. The underlying $S{U}^{BF}(3)\otimes U_s^F(2)$ dynamical symmetry, allows to maintain the axial symmetry throughout, thanks to the mixing of quadratic and cubic Casimir operators of $S{U}^{BF}(3)$. A fermionic basis with j = {1/2, 3/2, 5/2} is coupled to the boson part and diagonalized finding a rich variety of behaviours: the various orbitals do not display the same shape, some are prolate while others are oblate, and they make the transition following different paths.