Cabibbo-favored $\hat{I}{›}_c^{+}\to \hat{I}›a_0(980{)}^{+}$ decay in the final state interaction

Abstract

The anti-triplet charmed baryon decays with the light scalar mesons are rarely measured, whereas the recent observation of the Cabibbo-favored $\hat{I}{›}_c^{+}\to \hat{I}›\hat{I}\cdot \ddot{I}{€}^{+}$ decay hints a possible $\hat{I}{›}_c^{+}\to \hat{I}›a_0(980{)}^{+},a_0(980{)}^{+}\to \hat{I}\cdot \ddot{I}{€}^{+}$ process. We hence study the $\hat{I}{›}_c^{+}\to \hat{I}›a_0(980{)}^{+}$ decay. Particularly, it is found that the final state interaction can give a significant contribution, where $\hat{I}{\pounds }^{+}(1385)$ and $\hat{I}\cdot$ in $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}(1385)\hat{I}\cdot$ by exchanging a charged pion are transformed as $\hat{I}›$ and $a_0(980{)}^{+}$, respectively. Accordingly, we predict $\mathcal{B}(\hat{I}{›}_c^{+}\to \hat{I}›a_0(980{)}^{+})=(1.7_{-1.0}^{+2.8}\pm 0.3)\times 10^{-3}$, accessible to the BESIII, BELLEII and LHCb experiments.

10 pages, 2 figures, version to appear in Physics Letters B