Critical-Point Symmetries in Boson-Fermion Systems: The Case of Shape Transitions in Odd Nuclei in a Multiorbit Model

Journal Article · Fri Feb 02 00:00:00 EST 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.98.052501· OSTI ID:20955422

Alonso, C E; Arias, J M ^[1]; Vitturi, A ^[1]

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1. Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Fisica, Universidad de Sevilla, Apartado 1065, 41080 Sevilla (Spain)

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 behavior. 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.

• OSTI ID: 20955422
• Journal Information: Physical Review Letters, Vol. 98, Issue 5; Other Information: DOI: 10.1103/PhysRevLett.98.052501; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
ENERGY SPECTRA
ENERGY-LEVEL TRANSITIONS
FERMIONS
HAMILTONIANS
INTERACTING BOSON MODEL
PHASE TRANSFORMATIONS
SYMMETRY