The permutation group S_N and large Nc excited baryons

dc.creatorPirjol, Dan
dc.creatorSchat, Carlos
dc.date2007-09-05
dc.date2008-06-25
dc.date.accessioned2026-07-07T11:53:06Z
dc.date.available2026-07-07T11:53:06Z
dc.descriptionWe study the excited baryon states for an arbitrary number of colors Nc from the perspective of the permutation group S_N of N objects. Classifying the transformation properties of states and quark-quark interaction operators under S_N allows a general analysis of the spin-flavor structure of the mass operator of these states, in terms of a few unknown constants parameterizing the unknown spatial structure. We explain how to perform the matching calculation of a general two-body quark-quark interaction onto the operators of the 1/Nc expansion. The inclusion of core and excited quark operators is shown to be necessary. Considering the case of the negative parity L=1 states transforming in the MS of S_N, we discuss the matching of the one-gluon and the Goldstone-boson exchange interactions.
dc.description38 pages. Final version to be published in Physical Review D
dc.identifierhttps://arxiv.org/abs/0709.0714
dc.identifierhttp://arxiv.org/abs/0709.0714
dc.identifierPhys.Rev.D78:034026,2008
dc.identifierdoi:10.1103/PhysRevD.78.034026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204414
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleThe permutation group S_N and large Nc excited baryons
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