Rescattering mechanism of weak decays of double-charm baryons

Abstract

The doubly charmed baryon $\hat{I}{ž}_{cc}^{++}$ was recently observed by LHCb via the decay processes of $\hat{I}{ž}_{cc}^{++}\to \hat{I}{›}_c^{+}{K}^{-}\ddot{I}{€}^{+}\ddot{I}{€}^{+}$ and $\hat{I}{ž}_c^{+}\ddot{I}{€}^{+}$. 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 ${\mathcal{B}}_{cc}=(\hat{I}{ž}_{cc}^{++},\hat{I}{ž}_{cc}^{+},\hat{I}{\text{c◯}}_{cc}^{+})$, the singly charmed baryons ${\mathcal{B}}_c=({\mathcal{B}}_{\bar{3}},{\mathcal{B}}_6)$ and the light pseudoscalar mesons $P=(\ddot{I}€,K,\hat{I}{\cdot }_{1,8})$.

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