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

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

2011-12-09

arxiv.org/abs/1112.2047v1

Phys. Rev. D 85, 036010 (2012)

Physics

High Energy Physics

High Energy Physics - Phenomenology

1 figure

Scientific paper

10.1103/PhysRevD.85.036010

We investigate the spin contribution to light baryon ground states in three inequivalent large-$N$ 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 $S(S+1)/n_q$, where $S$ is the total spin and $n_q$ is the number of quark, in agreement with diagrammatic methods. Both potentials yield also $S$-independent contributions which scale at most as O$(n_q)$.

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