Cabibbo-favored ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ 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 ${\Lambda }_c^{+}\to \Lambda \eta {\pi }^{+}$ decay hints a possible ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+},a_0(980{)}^{+}\to \eta {\pi }^{+}$ process. We hence study the ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ decay. Particularly, it is found that the final state interaction can give a significant contribution, where ${\Sigma }^{+}(1385)$ and $\eta$ in ${\Lambda }_c^{+}\to {\Sigma }^{+}(1385)\eta$ by exchanging a charged pion are transformed as $\Lambda$ and $a_0(980{)}^{+}$, respectively. Accordingly, we predict $\mathcal{B}({\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+})=(1.7_{-1.0}^{+2.8}\pm 0.3)\times 10^{-3}$, accessible to the BESIII, BELLEII and LHCb experiments.

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