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Tests of SU(3) Symmetry-Breaking for Baryonic Beta Transitions in the Standard Model

P. K. Kabir·X. Song
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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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P. K. Kabir, X. Song. 2001-12-27. Tests of SU(3) Symmetry-Breaking for Baryonic Beta Transitions in the Standard Model. https://arxiv.org/abs/hep-ph/0106105

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