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Analysis of the nonleptonic two-body decays of the $Lambda$~hyperon

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 Added by Valery Lyubovitskij
 Publication date 2021
  fields
and research's language is English




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We systematically study two-body nonleptonic decays of light lambda hyperon $Lambda to p pi^- (npi^0)$ with account for both short and long distance effects. The short distance effects are induced by five topologies of external and internal weak $W^pm$ exchange, while long distance effects are saturated by an inclusion of the so-called pole diagrams with an intermediate $frac12^+$ and $frac12^-$ baryon resonances. The contributions from $frac12^+$ resonances are calculated straightforwardly by account for nucleon and $Sigma$ baryons whereas the contributions from $frac12^+$ resonances are calculated by using the well-known soft-pion theorem in the current-algebra approach. It allows to express the parity-violating S-wave amplitude in terms of parity-conserving matrix elements. From our previous analysis of heavy baryons we know that short distance effects induced by internal topologies are not suppressed in comparison with external $W$-exchange diagram and must be included for description of data. Here, in the case of $Lambda$ decays we found that the contribution of external and internal $W$-exchange diagrams is sizably suppressed, e.g., by one order of magnitude in comparison with data, which are known with quite good accuracy. The major role to get consistency with experiment play pole diagrams.



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A sensitive search for the rare decays Omega^- to Lambda pi^- and Xi^0 to p pi^- has been performed using data from the 1997 run of the HyperCP (Fermilab E871) experiment. Limits on other such processes do not exclude the possibility of observable rates for |Delta S| = 2 nonleptonic hyperon decays, provided the decays occur through parity-odd operators. We obtain the branching-fraction limits B(Omega^- to Lambda pi^-)< 2.9 x 10^{-6} and B(Xi^0 to p pi^-)< 8.2 x 10^{-6}, both at 90% confidence level.
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114 - B. Bajc , S. Fajfer , R. J. Oakes 1997
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