Joint description of weak radiative and nonleptonic hyperon decays in broken SU(3)

Abstract

We give a joint description of weak radiative (WR) and nonleptonic (NL) hyperon decays (HD) in broken SU(3). The two groups of decays are linked via $SU(2{)}_W$ spin symmetry and vector meson dominance (VMD). We use experimental information on the parity-conserving (p.c.) NLHD amplitudes to fix the corresponding WRHD amplitudes. With the latter known, the data on the WRHD branching ratios and asymmetries permit us to determine the parity-violating (p.v.) WRHD amplitudes in terms of two parameters corresponding to the two-quark and single-quark transitions. We obtain a good description of the data, and in particular a large ${\Sigma }^{+}\to p\gamma$ asymmetry. Then, using the $SU(2{)}_W$+VMD route we determine the non-soft-meson correction term in the p.v. NLHD amplitudes. The latter is shown to subtract a substantial amount from the current-algebra commutator thus leading towards the resolution of the S:P discrepancy in NLHD.

arXiv comment26 pages

References in corpus (4)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Measurement of the Xi0 -> Lambda gamma Decay Asymmetry and Branching Fraction
• Weak Hyperon Decays: Quark Sea and SU(3) Symmetry Breaking
• On the Pattern of Asymmetries in the Pole Model of Weak Radiative Hyperon Decays

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• Quarks, Hadrons, and Emergent Spacetime
• Clifford Algebra of Nonrelativistic Phase Space and the Concept of Mass
• Four-body Semileptonic Charm Decays $D\to P_1{P}_2{\ell }^{+}{\nu }_{\ell }$ Based on SU(3) Flavor Analysis
• Radiative and nonleptonic hyperon decays in broken SU(3)
• Measurement of the Decay ${\Xi }^0\to \Lambda \gamma$ with Entangled ${\Xi }^0{\bar{\Xi }}^0$ Pairs
• Analysis of the nonleptonic two-body decays of the $\Lambda$ hyperon