Critical point symmetries in boson-fermion systems. The case of shape transition in odd nuclei in a multi-orbit model

Abstract

We investigate phase transitions in boson-fermion systems. We propose an analytically solvable model (E(5/12)) to describe odd nuclei at the critical point in the transition from the spherical to $\gamma$-unstable behaviour. In the model, a boson core described within the Bohr Hamiltonian interacts with an unpaired particle assumed to be moving in the three single particle orbitals j=1/2,3/2,5/2. Energy spectra and electromagnetic transitions at the critical point compare well with the results obtained within the Interacting Boson Fermion Model, with a boson-fermion Hamiltonian that describes the same physical situation.

Phys. Rev. Lett. (in press)

References in corpus (3)

• Analytic descriptions for transitional nuclei near the critical point
• The U(5)-O(6) transition in the Interacting Boson Model and the E(5) critical point symmetry
• Phase transitions in the Interacting Boson Fermion Model: the gamma-unstable case

Cited by in corpus (5)

• Quantum phase transitions in the interacting boson model
• Nuclear quantum shape-phase transitions in odd-mass systems
• Excited-state quantum phase transitions in a two-fluid Lipkin model
• Empirical signatures of shape phase transitions in nuclei with odd nucleon numbers
• An overview of the scientific contribution of Andrea Vitturi to Nuclear Physics (being an account of the recent TNP19 meeting held in Padova)