Tests of SU(3) Symmetry-Breaking for Baryonic Beta Transitions in the Standard Model
P. K. Kabir, X. Song
Abstract
It is generally assumed that deviations from flavor SU(3) symmetry arise entirely from quark mass-differences, reflected in the mass splittings between strange and nonstrange members of the same SU(3) multiplet. Under this assumption, a parametrization is proposed which expresses the ratios of Gamow-Teller to Fermi matrix elements for nucleon and hyperon beta decays entirely in terms of two SU(3)-invariant coupling constants F and D and two parameters γ and δ representing SU(3) breaking effects. Therefore, in principle, measurement of this ratio for any four beta-transitions should yield all four parameters. Available data do not show any evidence for SU(3) breaking. Improved measurements, also for transitions not previously measured, would provide more stringent tests.
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