Baryon Masses at Second Order in Chiral Perturbation Theory

Details Baryon Masses at Second Order in Chiral Perturbation Theory Baryon Masses at Second Order in Chiral Perturbation Theory

1994-01-11

arxiv.org/abs/hep-ph/9401232v1

Phys.Lett. B329 (1994) 479-485

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 1 uu-encoded figure, LBL-34779, UCB-PTH-93/28

Scientific paper

10.1016/0370-2693(94)91093-6

We analyze the baryon mass differences up to second order in chiral perturbation theory, including the effects of decuplet intermediate states. We show that the Coleman--Glashow relation has computable corrections of order $(m_d - m_u) m_s$. These corrections are numerically small, and in agreement with the data. We also show that corrections to the $\Sigma$ equal-spacing rule are dominated by electromagnetic contributions, and that the Gell-Mann--Okubo formula has non-analytic corrections of order $m_s^2 \ln m_s$ which cannot be computed from known matrix elements. We also show that the baryon masses cannot be used to extract model-independent information about the current quark masses.

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