Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion

Details Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion

2002-09-16

arxiv.org/abs/hep-ph/0209174v1

Phys.Rev. D66 (2002) 114014

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, 3 figures

Scientific paper

10.1103/PhysRevD.66.114014

The masses of the negative parity SU(6) 70-plet baryons are analyzed in the 1/Nc expansion to order 1/Nc and to first order in SU(3) breaking. At this level of precision there are twenty predictions. Among them there are the well known Gell-Mann Okubo and equal spacing relations, and four new relations involving SU(3) breaking splittings in different SU(3) multiplets. Although the breaking of SU(6) symmetry occurs at zeroth order in 1/Nc, it turns out to be small. The dominant source of the breaking is the hyperfine interaction which is of order 1/Nc. The spin-orbit interaction, of zeroth order in 1/Nc, is entirely fixed by the splitting between the singlet states Lambda(1405) and Lambda(1520), and the spin-orbit puzzle is solved by the presence of other zeroth order operators involving flavor exchange.

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