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- 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 , where is the total spin and is the number of quark, in agreement with diagrammatic methods. Both potentials yield also -independent contributions which scale at most as O.
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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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