Study of the semileptonic decay Ds+→f0(980)e+ν and implications for Bs0→J/ψf0

Using e+e-→Ds-Ds*+ and Ds*-Ds+ interactions at 4170 MeV collected with the CLEO-c detector, we investigate the semileptonic decays Ds+→f0(980)e+ν and Ds+→e+ν. By examining the decay rates as functions of the four-momentum transfer squared q2, we measure the ratio [dBdq2(Ds+→f0(980)e+ν)B(f0→π+π-)]/[dBdq2(Ds+→e+ν) B(→K+K-)] at q2 of zero to be (42±11)%. This ratio has been predicted to equal the rate ratio [B(Bs→J/ψf0)B(f0→π+π-)]/ [B(Bs→J/ψ)B(→K+K-)], thus indicating that the CP eigenstate J/ψf0 could be useful for measuring CP violation via Bs mixing. Assuming a simple pole model for the form factor |f+(q2)| in the f0e+ν decay, we find a pole mass of (1.7-0.7+4.5±0.2)GeV. We also determine the f0 mass and width as (977-9+11±1) and (91-22+30±3)MeV, respectively. In addition, we present updated results for B(Ds+→f0(980)e+ν) B(f0→π+π-)=(0.20±0.03±0.01)% and B(Ds+→e+ν)=(2. 36±0.23±0.13)%. Assuming that the f0 wave function is a combination of strange and nonstrange quark-antiquark components, we use our measurement for B(Ds+→f0(980)e+ν) to extract a value of the mixing angle that we find consistent with s̄s dominance, adding to the mystery as to why the f0 decays predominantly to two pions rather than two kaons. © 2009 The American Physical Society.