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A lattice determination of Sigma - Lambda mixing

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arxiv 1411.7665 v2 pith:RUG5MHGP submitted 2014-11-27 hep-lat hep-ph

R. Horsley , J. Najjar , Y. Nakamura , H. Perlt , D. Pleiter , P.E.L. Rakow , G. Schierholz , A. Schiller
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H. Stüben J.M. Zanotti
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classification hep-lathep-ph
keywords massmixingeffectslambdasigmaisospinsplittingangle
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Isospin breaking effects in baryon octet (and decuplet) masses are due to a combination of up and down quark mass differences and electromagnetic effects and lead to small mass splittings. Between the Sigma and Lambda this mass splitting is much larger, this being mostly due to their different wavefunctions. However when isospin is broken, there is a mixing between between these states. We describe the formalism necessary to determine the QCD mixing matrix and hence find the mixing angle and mass splitting between the Sigma and Lambda particles due to QCD effects.

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  1. Hadrons in group expansion

    hep-ph 2025-06 conditional novelty 4.0 of 10

    Ground-state baryon masses are parametrized by mixing SU(4) flavor representations, with estimated Sigma_c being 72% 20M and 28% 20S, and Xi_c being 90% anti-triplet and 10% sextet.

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