Measurement of $\sin 2\beta$ with hadronic and previously unused muonic $J/\psi$ decays

We report a measurement of the CP-violation parameter $\sin 2\beta$ with $B^0\to J/\psi K_S^0$ decays in which the $J/\psi$ decays to hadrons or to muons that do not satisfy our standard identification criteria. With a sample of 88 million $B\overline{B}$ events collected by the BABAR detector at the PEP-II asymmetric-energy B factory at SLAC, we reconstruct $100\pm 17$ such events, with $J/\overrightarrow{\psi }{\pi }^{+}{\pi }^{-}{\pi }^0$ being the most prevalent, and measure $\sin 2\beta =1.56\mathrm{}\pm 0.42\left(\mathrm{stat}\right)\pm 0.21\left(\mathrm{syst}\right).\mathrm{}$