Measurement of B(Ds+→l+ν) and the decay constant fDS+

We examine e+e-→Ds-Ds*+ and Ds*-Ds+ interactions at 4170 MeV using the CLEO-c detector in order to measure the decay constant fDs+. We use the Ds+→ℓ+ν channel, where the ℓ+ designates either a μ+ or a τ+, when the τ+→π+ν̄. Analyzing both modes independently, we determine B(Ds+→μ+ν)=(0.594±0.066±0. 031)%, and B(Ds+→τ+ν)=(8.0±1.3±0.4)%. We also analyze them simultaneously to find an effective value of Beff(Ds+→μ+ν)=(0. 638±0.059±0.033)% and extract fDs+=274±13±7MeV. Combining with our previous determination of B(D+→μ+ν), we also find the ratio fDs+/fD+=1.23±0.11±0.04. We compare to current theoretical estimates. Finally, we find B(Ds+→e+ν)<1.3×10-4 at 90% confidence level.