Determining Sigma - Lambda mixing

A. Schiller; D. Pleiter; G. Schierholz; H. Perlt; H. St\"uben; J.M. Zanotti; J. Najjar; P.E.L. Rakow; R. Horsley; Y. Nakamura

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Determining Sigma - Lambda mixing

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arxiv 1412.0970 v1 pith:QS6T5OAU submitted 2014-12-02 hep-lat

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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keywords massmixingdifferenceseffectslambdasigmasplittingangle

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SU2 isospin breaking effects in baryon octet (and decuplet) masses are due to a combination of up and down quark mass differences and electromagnetic effects. These mass differences are small. Between the Sigma and Lambda the mass splitting is much larger, but this is mostly due to their different wavefunctions. However there is now also mixing between these states. We determine the QCD mixing matrix and hence find the mixing angle and mass splitting.

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