Non-Leptonic two body decays of Charmed and \Lambda_b Baryons

Abstract

We calculate the two body Cabibbo allowed non-leptonic decays of charmed baryons $\Lambda_c$ and $\Xi_c$ which involve transitions of a heavy quark to a light quark. We use data on the Cabbibo favoured non-leptonic decays $\Lambda_c \rightarrow \Lambda \pi^{+}$ and $\Lambda_c \rightarrow \Sigma^{+} \pi^{0 }$ to obtain information on the form factors in the $c \rightarrow s $ transition. We also calculate the decay $\Lambda_c \rightarrow p \phi$. Using HQET the information on form factors from the $c \rightarrow s $ transition is used to model the form factors in $b \rightarrow s $ transition which are then used in the study of $\Lambda_b \rightarrow J/ \psi \Lambda $ decay.