Measurement of branching fractions of $\Lambda_{c}^{+}$ decays to $\Sigma^{+} \eta$ and $\Sigma^{+} \eta'$

TL;DR

This study measures the branching fractions of specific $\Lambda_c^+$ decays to $\Sigma^+\eta$ and $\Sigma^+\eta'$, providing new data to understand charmed baryon decay processes.

Contribution

First measurement of the branching fraction ratios of $\Lambda_c^+ ightarrow \Sigma^+\eta$ and $\Lambda_c^+ ightarrow ext{ extSigma}^+\eta'$ decays relative to other modes.

Findings

Branching ratio of $\Lambda_c^+ ightarrow \Sigma^+ ext{ exteta}$ relative to $\Sigma^+ ext{ extpi}^0$ is 0.305.

Branching ratio of $\Lambda_c^+ ightarrow \Sigma^+ ext{ exteta'}$ relative to $\Sigma^+ ext{ extomega}$ is 0.336.

Ratio of $\mathcal{B}(\Lambda_c^+ ightarrow ext{ extSigma}^+ ext{ exteta'})$ to $\mathcal{B}(\Lambda_c^+ ightarrow ext{ extSigma}^+ ext{ exteta})$ is 1.73.

Abstract

By analyzing $e^+e^-$ collision data taken at center-of-mass energies $\sqrt{s}$ between 4.600 and 4.699 GeV with the BESIII detector at the BEPCII collider, corresponding to an integrated luminosity of $\rm 4.5~fb^{-1}$, we study the hadronic decays $\Lambda_{c}^{+} \rightarrow \Sigma^{+} \eta$ and $\Lambda_{c}^{+} \rightarrow \Sigma^{+} \eta^{\prime}$ using the single-tag method. The branching fraction ratio of $\Lambda_{c}^+ \rightarrow \Sigma^+ \eta$ relative to $\Lambda_{c}^+ \rightarrow \Sigma^+ \pi^0$ is determined to be $0.305 \pm 0.046_{\rm stat.} \pm 0.007_{\rm syst.}$, and that of $\Lambda_{c}^+ \rightarrow \Sigma^+ \eta'$ relative to $\Lambda_{c}^+ \rightarrow \Sigma^+ \omega $ is $0.336 \pm 0.094_{\rm stat.} \pm 0.037_{\rm syst.}$. The ratio of $\frac{\mathcal{B}\left(\Lambda_{c}^{+} \rightarrow \Sigma^{+} \eta'\right)}{\mathcal{B}\left(\Lambda_{c}^{+} \rightarrow \Sigma^{+} \eta\right)} $ is determined to be $1.73 \pm 0.22_{\rm stat.} \pm 0.16_{\rm syst.}$. These results enrich our knowledge of charmed baryon decays.