Cabibbo-favored $Λ^+_c\toΛa_{0}(980)^+$ 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 $Λ_c^+\to Ληπ^+$ decay hints a possible $Λ_c^+\toΛa_0(980)^+,a_0(980)^+\to ηπ^+$ process. We hence study the $Λ_c^+\toΛa_0(980)^+$ decay. Particularly, it is found that the final state interaction can give a significant contribution, where $Σ^{+}(1385)$ and $η$ in $Λ_c^+\to Σ^{+}(1385)η$ by exchanging a charged pion are transformed as $Λ$ and $a_0(980)^+$, respectively. Accordingly, we predict ${\cal B}(Λ_c^+\toΛa_0(980)^+)=(1.7^{+2.8}_{-1.0}\pm 0.3)\times 10^{-3}$, accessible to the BESIII, BELLEII and LHCb experiments.