Measurement of the branching fractions of $D_s^+\rightarrow \eta'X$ and $D_s^+\rightarrow \eta'\rho^+$ in $e^+e^-\to D^+_sD^-_s$

摘要: We study D+s decays to final states involving the η′ with a 482pb−1 data sample collected at s√ = 4.009GeV with the \mbox{BESIII} detector at the BEPCII collider. We measure the branching fractions B(D+s→η′X) = (8.8±1.8±0.5)% and B(D+s→η′ρ+) = (5.8±1.4±0.4)% where the first uncertainty is statistical and the second is systematic. In addition, we estimate an upper limit on the non-resonant branching ratio B(D+s→η′π+π0)<5.1% at the 90% confidence level. Our results are consistent with CLEO's recent measurements and help to resolve the disagreement between the theoretical prediction and CLEO's previous measurement of B(D+s→η′ρ+).