SU(6) $[{\bf 70},1^-]$ baryon multiplet in the $1/N_c$ expansion

Details SU(6) $[{\bf 70},1^-]$ baryon multiplet in the $1/N_c$ expansion SU(6) $[{\bf 70},1^-]$ baryon multiplet in the $1/N_c$ expansion

2011-01-27

arxiv.org/abs/1101.5304v1

Phys.Rev.D83:056007,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 11 tables, to be published in PRD

Scientific paper

10.1103/PhysRevD.83.056007

The masses of excited states of mixed orbital symmetry of nonstrange and strange baryons belonging to the lowest $[{\bf 70},1^-]$ multiplet are calculated in the $1/N_c$ expansion to order $1/N_c$ with a new method which allows to considerably reduce the number of linearly independent operators entering the mass formula. This study represents an extension to SU(6) of our work on nonstrange baryons, the framework of which was SU(4). The conclusion regarding the role of the flavor operator, neglected in previous SU(6) studies, is reinforced. Namely, both the flavor and spin operators contribute dominantly to the flavor-spin breaking.

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