Rescattering mechanism of weak decays of double-charm baryons

The doubly charmed baryon \begin{document}$ \Xi_{cc}^{++} $\end{document} was recently observed by LHCb via the decay processes of \begin{document}$ \Xi_{cc}^{++}\to \Lambda_c^+ K^-\pi^+\pi^+ $\end{document} and \begin{document}$ \Xi_c^+\pi^+ $\end{document} . These discovery channels were successfully predicted in a framework in which the short-distance contributions are calculated under the factorization hypothesis and the long-distance contributions are estimated using the rescattering mechanism for the final-state-interaction effects. In this paper, we illustrate the above framework in detail by systematic studies on the two-body baryonic decays \begin{document}$ {\cal{B}}_{cc}\to{\cal{B}}_{c}P $\end{document} involving the doubly charmed baryons \begin{document}$ {\cal{B}}_{cc} = (\Xi_{cc}^{++} , \Xi_{cc}^+,\Omega_{cc}^+) $\end{document} , the singly charmed baryons \begin{document}$ {\cal{B}}_{c} = ({\cal{B}}_{\bar{3}}, {\cal{B}}_{6}) $\end{document} and the light pseudoscalar mesons \begin{document}$ P = (\pi,K,\eta_{1,8}) $\end{document} .