Measurement of the absolute branching fraction of $Lambda_c^+to p K^0_{mathrm{S}}eta$ decays

Based on 586 $rm{pb^{-1}}$ of $e^+e^-$ annihilation data collected at a center-of-mass energy of $sqrt{s}=4.6~rm{GeV}$ with the BESIII detector at the BEPCII collider, the absolute branching fraction of $Lambda_c^+ to p K^0_{mathrm{S}}eta$ decays is measured for the first time to be $mathcal{B}(Lambda_c^+ to p K^0_{mathrm{S}}eta) = (0.414 pm 0.084 pm 0.028)%$, where the first uncertainty is statistical and the second is systematic. The result is compatible with a previous CLEO result on the relative branching fraction $frac{mathcal{B}(Lambda_c^+ to p K^0_{mathrm{S}}eta)}{mathcal{B}(Lambda_c^+ to p K^-pi^+)}$, and consistent with theoretical predictions of SU(3) flavor symmetry.