Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-08-27
Phys.Rev. D64 (2001) 114005
Physics
High Energy Physics
High Energy Physics - Phenomenology
Phys. Rev. D (in press, 2001)
Scientific paper
10.1103/PhysRevD.64.114005
The structure of the reported excitation spectra of the light unflavored baryons is described in terms of multi-spin valued Lorentz group representations of the so called Rarita-Schwinger (RS) type (K/2, K/2)* [(1/ 2,0)+ (0,1/2)] with K=1,3, and 5. We first motivate legitimacy of such pattern as fundamental fields as they emerge in the decomposition of triple fermion constructs into Lorentz representations. We then study the baryon realization of RS fields as composite systems by means of the quark version of the U(4) symmetric diatomic rovibron model. In using the U(4)/ O(4)/ O(3)/ O(2) reduction chain, we are able to reproduce quantum numbers and mass splittings of the above resonance assemblies. We present the essentials of the four dimensional angular momentum algebra and construct electromagnetic tensor operators. The predictive power of the model is illustrated by ratios of reduced probabilities concerning electric de-excitations of various resonances to the nucleon.
Kirchbach Mariana
Moshinsky Marcos
Smirnov Yu. F.
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