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arxiv: hep-ph/0003295 · v1 · submitted 2000-03-30 · ✦ hep-ph

Hara Theorem, GIM model, and Asymmetry in Weak Radiative Hyperon Decays

classification ✦ hep-ph
keywords decaygammaasymmetrymodelrightarrowsigmaamplitudechanges
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It is shown that in the framework of GIM model,the parity-violating (PV) $\Sigma^{+}(uus) \Rightarrow p(uud) + \gamma $ decay amplitude does not vanish but just transforms into another PV decay amplitude, namely, of the $\Omega^{+}_{cc}(ccs)\to \Xi^{+}_{cc}(ccd)+\gamma $ decay. The known result is used that the relevant part of the CP-invariant effective current$\times$ current Hamiltonian changes sign under simultaneous quark changes $d\leftrightarrow s$ and $u\leftrightarrow c$. So, asymmetry of $\Sigma^{+} \Rightarrow p + \gamma $ decay should not vanish in contrast to the Hara result of the old-fashioned $SU(3)_{f}$ model. At the same time, the zero asymmetry prediction persists for the $ \Xi^{-} \Rightarrow \Sigma^{-} + \gamma $ decay.

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