Octet baryon matrix elements of octet currents obey a constrained SU(3) flavour-breaking expansion along the constant-singlet-mass trajectory, with one constraint at second order and no further constraints at third order for first-class currents.
Isospin splittings in the decuplet baryon spectrum from dynamical QCD+QED
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We report a new analysis of the isospin splittings within the decuplet baryon spectrum. Our numerical results are based upon five ensembles of dynamical QCD+QED lattices. The analysis is carried out within a flavour-breaking expansion which encodes the effects of breaking the quark masses and electromagnetic charges away from an approximate SU(3) symmetric point. The results display total isospin splittings within the approximate SU(2) multiplets that are compatible with phenomenological estimates. Further, new insight is gained into these splittings by separating the contributions arising from strong and electromagnetic effects. We also present an update of earlier results on the octet baryon spectrum.
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Patterns of flavour symmetry breaking in hadron matrix elements involving u, d and s quarks
Octet baryon matrix elements of octet currents obey a constrained SU(3) flavour-breaking expansion along the constant-singlet-mass trajectory, with one constraint at second order and no further constraints at third order for first-class currents.