Baryon Mass Splittings in the 1/N_c Expansion

Details Baryon Mass Splittings in the 1/N_c Expansion Baryon Mass Splittings in the 1/N_c Expansion

1995-02-06

arxiv.org/abs/hep-ph/9502227v1

Phys.Rev.D52:282-294,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, LaTeX

Scientific paper

10.1103/PhysRevD.52.282

The $I=0,1,2,3$ mass splittings of the spin-$1/2$ octet and spin-$3/2$ decuplet baryons are analyzed in the $1/\N$ expansion combined with perturbative flavor breaking. We show there is considerable experimental evidence that the baryon masses satisfy the hierarchy predicted by this expansion. Since flavor symmetry-breaking suppression factors alone are not sufficient to describe the observed hierarchy, we conclude that there is firm evidence for the $1/\N$ expansion in the baryon masses. Our analysis differs from non-relativistic $SU(6)$.

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