The algebraic treatment of baryons is extended to strange resonances. Within this framework we study a collective string-like model in which the radial excitations are interpreted as rotations and vibrations of the strings. We derive a mass formula and closed expressions for strong and electromagnetic decay widths and use these to analyze the available experimental data.
We discuss the notion of partial dynamical symmetry in relation to nuclear
spectroscopy. Explicit forms of Hamiltonians with partial $SU(3)$ symmetry are
presented in the framework of the interacting boson model of nuclei. An
analysis of the resulting spectrum and electromagnetic transitions demonstrates
the relevance of such partial symmetry to the spectroscopy of axially deformed
nuclei.Comment: 12 pages, Revtex, 1 uuencoded figure, Phys. Rev. Lett. in pres
We show that the generators of pseudospin symmetry are the non -relativistic limit of the generators of an SU(2) symmetry which leaves invariant the Dirac Hamiltonian with scalar and vector potentials equal in magnitude but opposite in sign, V V = −V S . Furthermore, within this framework, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials.
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