Measurement of decay amplitudes of $B\to J/\psi K^{*}$, $\psi (2S)K^{*}$, and ${\chi }_{c1}{K}^{*}$ with an angular analysis

We perform the first three-dimensional measurement of the amplitudes of $B\to \psi (2S)K^{*}$ and $B\to {\chi }_{c1}{K}^{*}$ decays and update our previous measurement for $B\to J/\psi K^{*}$. We use a data sample collected with the BABAR detector at the PEP-II storage ring, corresponding to $232\times {10}^6$ $B\overline{B}$ pairs. The longitudinal polarization of decays involving a $J^{PC}=1^{++}$ ${\chi }_{c1}$ meson is found to be larger than that with a $1^{--}$ $J/\psi$ or $\psi (2S)$ meson. No direct $CP$-violating charge asymmetry is observed.