Measurement of the absolute branching fractions of $Lambda_{c}^{+}toLambdaetapi^{+}$ and $Sigma(1385)^{+}eta$

We study the decays $Lambda_{c}^{+}toLambdaetapi^{+}$ and $Sigma(1385)^{+}eta$ based on $Lambda_{c}^{+}bar{Lambda}_{c}^{-}$ pairs produced in $e^+e^-$ collisions at a center-of-mass energy of $sqrt{s}=4.6~mbox{GeV}$, corresponding to an integrated luminosity of $567;mbox{pb$^{-1}$}$. The data sample was accumulated with the BESIII detector at the BEPCII collider. The branching fractions are measured to be $mathcal{B}(Lambda_{c}^{+} to Lambdaetapi^{+})=(1.84pm0.21({rm{stat.}})pm0.15({rm{syst.}}))%$ and $mathcal{B}(Lambda_{c}^{+} to Sigma(1385)^{+}eta)=(0.91pm0.18({rm{stat.}})pm0.09({rm{syst.}}))%$, constituting the most precise measurements to date.