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arxiv 1206.3156 v2 pith:JROD7MNO submitted 2012-06-14 hep-lat hep-phnucl-th

Isospin breaking in octet baryon mass splittings

classification hep-lat hep-phnucl-th
keywords massexpansionbreakingquarktermsbaryonflavouroctet
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Using an SU(3) flavour symmetry breaking expansion in the quark mass, we determine the QCD component of the nucleon, Sigma and Xi mass splittings of the baryon octet due to up-down (and strange) quark mass differences in terms of the kaon mass splitting. Provided the average quark mass is kept constant, the expansion coefficients in our procedure can be determined from computationally cheaper simulations with mass degenerate sea quarks and partially quenched valence quarks. Both the linear and quadratic terms in the SU(3) flavour symmetry breaking expansion are considered; it is found that the quadratic terms only change the result by a few percent, indicating that the expansion is highly convergent.

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Cited by 1 Pith paper

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  1. On the Cottingham formula and the electromagnetic contribution to the proton-neutron mass splitting

    nucl-th 2019-07 unverdicted novelty 2.0

    The paper reviews the Cottingham formula, its renormalization issues, and two models for the required subtraction function to estimate the electromagnetic part of the proton-neutron mass splitting.