By analyzing
(27.12±0.14)×108 ψ(3686) events accumulated with the BESIII detector, the decay
ηc(2S)→K+K−η is observed for the first time with a significance of
6.2σ after considering systematic uncertainties. The product of the branching fractions of
ψ(3686)→γηc(2S) and
ηc(2S)→K+K−η is measured to be
B(ψ(3686)→γηc(2S))×B(ηc(2S)→K+K−η)=(2.39±0.32±0.34)×10−6, where the first uncertainty is statistical, and the second one is systematic. The branching fraction of
ηc(2S)→K+K−η is determined to be
B(ηc(2S)→K+K−η)=(3.42±0.46±0.48±2.44)×10−3, where the third uncertainty is due to the branching fraction of
ψ(3686)→γηc(2S). Using a recent BESIII measurement of
B(ηc(2S)→K+K−π0), we also determine the ratio between the branching fractions of
ηc(2S)→K+K−η and
ηc(2S)→K+K−π0 to be
1.49±0.22±0.25, which is consistent with the previous result of at a comparable precision level. Published by the American Physical Society 2024