English

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

High Energy Physics - Phenomenology 2011-03-21 v1

Abstract

The masses of excited states of mixed orbital symmetry of nonstrange and strange baryons belonging to the lowest [70,1][{\bf 70},1^-] multiplet are calculated in the 1/Nc1/N_c expansion to order 1/Nc1/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.

Keywords

Cite

@article{arxiv.1101.5304,
  title  = {SU(6) $[{\bf 70},1^-]$ baryon multiplet in the $1/N_c$ expansion},
  author = {N. Matagne and Fl. Stancu},
  journal= {arXiv preprint arXiv:1101.5304},
  year   = {2011}
}

Comments

26 pages, 11 tables, to be published in PRD