English

Spin contribution to light baryons in different large-$N$ limits

High Energy Physics - Phenomenology 2012-02-29 v1

Abstract

We investigate the spin contribution to light baryon ground states in three inequivalent large-NN limits: 't Hooft, QCD antisymmetric and QCD symmetric. Our framework is a constituent quark model with a relativistic Hamiltonian containing a stringlike confinement and a one-gluon exchange term. Two spin-dependent potentials are considered and treated as perturbations: the color magnetic interaction stemming from the one-gluon exchange process and the chiral boson exchange interaction. We analytically prove that the spin contributions scale like S(S+1)/nqS(S+1)/n_q, where SS is the total spin and nqn_q is the number of quark, in agreement with diagrammatic methods. Both potentials yield also SS-independent contributions which scale at most as O(nq)(n_q).

Keywords

Cite

@article{arxiv.1112.2047,
  title  = {Spin contribution to light baryons in different large-$N$ limits},
  author = {Fabien Buisseret and Nicolas Matagne and Claude Semay},
  journal= {arXiv preprint arXiv:1112.2047},
  year   = {2012}
}

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R2 v1 2026-06-21T19:48:45.389Z