Deformed Pseudospin Doublets as a Fingerprint of a Relativistic Supersymmetry in Nuclei

The single-particle spectrum of deformed shell-model states in nuclei, is shown to exhibit a supersymmetric pattern. The latter involves deformed pseudospin doublets and intruder levels. The underlying supersymmetry is associated with the relativistic pseudospin symmetry of the nuclear mean-field Dirac Hamiltonian with scalar and vector potentials.Comment: 6 pages, 3 figures, Proc. 10th Int. Spring Seminar on Nuclear Physics, "New Quests in Nuclear Structure", Vietri Sul Mare, Italy, May 21-25, 201

Quantum Shape-Phase Transitions in Finite Nuclei

Quantum shape-phase transitions in finite nuclei are considered in the framework of the interacting boson model. Critical-point Hamiltonians for first- and second-order transitions are identified by resolving them into intrinsic and collective parts. Suitable wave functions and finite-N estimates for observables at the critical-points are derived.Comment: 6 pages, 2 figures, Proc. 2nd Int. Conf. on "Collective Motion in Nuclei under Extreme Conditions" (COMEX 2), June 20-23, 2006, Sankt Goar, German

Partial Dynamical Symmetry as an Intermediate Symmetry Structure

We introduce the notion of a partial dynamical symmetry for which a prescribed symmetry is neither exact nor completely broken. We survey the different types of partial dynamical symmetries and present empirical examples in each category.Comment: 10 pages, 5 figures, Proc. Int. Conf. on "Symmetry in Physics", March 23-30, 2003, Erice Ital

Partial Dynamical Symmetries in Nuclei

Partial dynamical symmetries (PDS) are shown to be relevant to the interpretation of the $K=0_2$ band and to the occurrence of F-spin multiplets of ground and scissors bands in deformed nuclei. Hamiltonians with bosonic and fermionic PDS are presented.Comment: 6 pages, 2 figures, Proc. Int. Conf. "Bologna 2000 - Structure of the Nucleus at the Dawn of the Century", Bologna, Italy, May 29 - June 3, 200

Relativistic Pseudospin Symmetry as a Supersymmetric Pattern in Nuclei

Shell-model states involving several pseudospin doublets and ``intruder'' levels in nuclei, are combined into larger multiplets. The corresponding single-particle spectrum exhibits a supersymmetric pattern whose origin can be traced to the relativistic pseudospin symmetry of a nuclear mean-field Dirac Hamiltonian with scalar and vector potentials.Comment: 8 pages, 4 figures, Proc. 8th Int. Spring Seminar on Nuclear Physics,``Key Topics in Nuclear Structure'', Paestum, Italy, May 23-27, 200