The permutation group S_N and large Nc excited baryons

Details The permutation group S_N and large Nc excited baryons The permutation group S_N and large Nc excited baryons

2007-09-05

arxiv.org/abs/0709.0714v4

Phys.Rev.D78:034026,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

38 pages. Final version to be published in Physical Review D

Scientific paper

10.1103/PhysRevD.78.034026

We 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.

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