1/Nc countings in baryons |
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Authors: | J. L. Goity |
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Affiliation: | (1) Department of Physics, Hampton University, Hampton, USA;(2) Thomas Jefferson National Accelerator Facility, Newport News, USA |
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Abstract: | The 1/N c -power countings for baryon decays and configuration mixings are determined by means of a nonrelativistic quark picture. Such countings are expected to be robust under changes in the quark masses and, therefore, valid as these become light. It is shown that excited baryons have natural widths of (mathcal{O}(N_c^0 )). These dominant widths are due to the decays that proceed directly to the ground-state baryons, with cascade decays being suppressed to (mathcal{O}(1/N_c )). Configuration mixings, defined as mixings between states belonging to different O(3) × SU(2N f ) multiplets, are shown to be subleading in an expansion in (1/sqrt {N_c }) when they involve the ground-state baryons, while the mixings between excited states can be (mathcal{O}(N_c^0 )). |
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