Baryons in O(4) and Vibron Model

Abstract

One of the basic quality tests for any model of composite baryons is the level of accuracy reached in describing the nucleon and ∆ excitation spectra. In that respect, the knowledge on the degeneracy group of baryon spectra appears as a key tool in constructing the underlying Hamiltonian of the strong-interaction dynamics as a function of the Casimir operators of the symmetry group. To uncover the latter, one can analyze isospin by isospin how the masses of the resonances from the full baryon listing in Ref. [1] spread with spin and parity. Such an analysis has been performed in prior work [2] where it was found that Breit-Wigner masses reveal on the mass/spin (M/J) plane a well pronounced spinand parity clustering. There, it was further shown that the quantum numbers of the resonances belonging to a particular cluster fit into O(1,3) Lorentz group representations of the so called Rarita-Schwinger (RS) type [3]

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Cite this paper

@inproceedings{KirchbachBaryonsIO, title={Baryons in O(4) and Vibron Model}, author={M. Kirchbach and Marcos Moshinsky and Yu. Smirnov} }