The Coleman-Glashow relation is (m_ ^+ - m_ ^- ) + (m_ ^- - m_ ^0 ) = m_p - m_n

PHYSICS · Subjective · Fermi University Physics · Particle Physics & Quantum Fields · Symmetry, groups and the quark model · Symmetry, groups and the quark model

Symmetry and Flavour, Ch SU(3) flavour: weights, tensor products and the mass formulas

Problem

The Coleman-Glashow relation is

(m_{\Sigma^+} - m_{\Sigma^-}) + (m_{\Xi^-} - m_{\Xi^0}) = m_p - m_n.

Using the measured masses

m_p = 938.272\,\mathrm{MeV}

m_n = 939.565\,\mathrm{MeV}

m_{\Sigma^+} = 1189.37\,\mathrm{MeV}

m_{\Xi^0} = 1314.86\,\mathrm{MeV}

and

m_{\Xi^-} = 1321.71\,\mathrm{MeV}

, predict

m_{\Sigma^-}

and compare with the measured value

1197.449\,\mathrm{MeV}

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