Cabibbo-favored $\Lambda^+_c\to\Lambda a_{0}(980)^+$ decay in the final state interaction

TL;DR

This paper investigates the decay of the charmed baryon + into mbda and a0(980)+ mesons, highlighting the role of final state interactions and predicting a measurable branching ratio for upcoming experiments.

Contribution

It introduces a novel analysis of + decay involving scalar mesons via final state interactions, providing quantitative predictions for experimental verification.

Findings

Final state interactions significantly contribute to the decay process.

Predicted branching ratio is approximately 1.7^{-3}, within experimental reach.

The study offers a new perspective on light scalar meson production in charmed baryon decays.

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 ${\cal B}(\Lambda_c^+\to\Lambda a_0(980)^+)=(1.7^{+2.8}_{-1.0}\pm 0.3)\times 10^{-3}$, accessible to the BESIII, BELLEII and LHCb experiments.