English

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

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

It is shown that in the framework of GIM model,the parity-violating (PV) Σ+(uus)p(uud)+γ\Sigma^{+}(uus) \Rightarrow p(uud) + \gamma decay amplitude does not vanish but just transforms into another PV decay amplitude, namely, of the Ωcc+(ccs)Ξcc+(ccd)+γ\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 dsd\leftrightarrow s and ucu\leftrightarrow c. So, asymmetry of Σ+p+γ\Sigma^{+} \Rightarrow p + \gamma decay should not vanish in contrast to the Hara result of the old-fashioned SU(3)fSU(3)_{f} model. At the same time, the zero asymmetry prediction persists for the ΞΣ+γ \Xi^{-} \Rightarrow \Sigma^{-} + \gamma decay.

Keywords

Cite

@article{arxiv.hep-ph/0003295,
  title  = {Hara Theorem, GIM model, and Asymmetry in Weak Radiative Hyperon Decays},
  author = {E. N. Bukina and V. M. Dubovik and V. S. Zamiralov},
  journal= {arXiv preprint arXiv:hep-ph/0003295},
  year   = {2007}
}

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