Exclusive Rare Decays of Heavy Baryons to Light Baryons: $Λ_b \ri ghtarrow Λγ$ and $Λ_b \to Λl^{+} l^{-}$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, 4 figures, with minor modifications to Eq.(26), Appendix and Fig.4

Scientific paper

10.1103/PhysRevD.59.114022

Rare decays $\Lambda_b \to \Lambda \gamma$ and $\Lambda_b \to \Lambda l^{+} l^{-}$ (l= e, $\mu$) are examined. We use QCD sum rules to calculate the hadronic matrix elements governing the decays. The $\Lambda$ polarization in the decays is analyzed and it is shown that the polarization parameter in $\Lambda_b \to \Lambda \gamma$ does not depends on the values of hadronic form factors. And the energy spectrum of $\Lambda$ in $\Lambda_b \to \Lambda l^{+} l^{-}$ is given.

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