Rescattering mechanism of weak decays of double-charm baryons

Abstract

The doubly charmed baryon ${\Xi }_{cc}^{++}$ was recently observed by LHCb via the decay processes of ${\Xi }_{cc}^{++}\to {\Lambda }_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$ and ${\Xi }_c^{+}{\pi }^{+}$. These discovery channels were successfully predicted in the framework that 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 details by systematic studies on the two-body baryonic decays ${\mathcal{B}}_{cc}\to {\mathcal{B}}_{c}P$ involving the doubly charmed baryons ${\mathcal{B}}_{cc}=({\Xi }_{cc}^{++},{\Xi }_{cc}^{+},{\Omega }_{cc}^{+})$, the singly charmed baryons ${\mathcal{B}}_c=({\mathcal{B}}_{\bar{3}},{\mathcal{B}}_6)$ and the light pseudoscalar mesons $P=(\pi ,K,{\eta }_{1,8})$.

Comments: 31 pages, 4 figures, 9 tables. Version published in Chinese Physics C