Measurement of the Decay Amplitudes ofB0→J/ψK*0andBs0→J/ψφDecays

An angular analysis of $B^0\to J/\psi K^{*0\mathrm{}}$ and $B_s^0\to J/\psi \phi$ has been used to determine the decay amplitudes with parity-even longitudinal ( $A_0$) and transverse ( $A_{\parallel }$) polarization and parity-odd transverse ( $A_{\perp }$) polarization. The measurements are based on 190 $B^0$ and 40 $B_s^0$ candidates obtained from $89{\mathrm{pb}}^{-1\mathrm{}}$ of $\overline{p}p$ collisions at the Fermilab Tevatron. The longitudinal decay amplitude dominates with $|A_0{|}^2=0.59\mathrm{}\pm 0.06\pm 0.01$ for $B^0$ and $|A_0{|}^2=0.61\mathrm{}\pm 0.14\pm 0.02$ for $B_s^0$ decays. The parity-odd amplitude is found to be small with $|A_{\perp }{|}^2{=0.13\mathrm{}}_{-0.09\mathrm{}}^{+0.12\mathrm{}}\pm 0.06$ for $B^0$ and $|A_{\perp }{|}^2=0.23\mathrm{}\pm 0.19\pm 0.04$ for $B_s^0$ decays.