Partial dynamical symmetry in Bose-Fermi systems

Abstract

We generalize the notion of partial dynamical symmetry (PDS) to a system of interacting bosons and fermions. In a PDS, selected states of the Hamiltonian are solvable and preserve the symmetry exactly, while other states are mixed. As a first example of such novel symmetry construction, spectral features of the odd-mass nucleus ${}^{195}$Pt are analyzed.

5 pages, 1 figure, 2 tables, accepted for publication in Physical Review C (Rapid Communications)

References in corpus (7)

• Partial conservation of seniority and nuclear isomerism
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• Partial dynamical symmetry in quantum Hamiltonians with higher-order terms
• Seniority in quantum many-body systems. I. Identical particles in a single shell
• First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
• Partial dynamical symmetry as a selection criterion for many-body interactions
• Linking partial and quasi dynamical symmetries in rotational nuclei