| Abstract |
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We present measurements of the branching fraction and
$CP$-violating asymmetries in the decay $B^0 \rightarrow f_0(980)K^0_S$.
The results are obtained from a data sample of $123\times10^6$
$\Upsilon(4S) \rightarrow B\overline{B}$ decays.
From a time-dependent maximum likelihood fit we measure the
branching fraction
${\cal B}(\Bz\rightarrow f_0(980)(\rightarrow\pi^+\pi^-)K^0)=(6.0\pm0.9\pm0.6\pm1.2)\times 10^{-6}$,
the mixing-induced $CP$ violation parameter
$S=-1.62^{+0.56}_{-0.51} \pm 0.09\pm 0.04$
and the direct $CP$ violation parameter
$C=0.27\pm 0.36\pm 0.10 \pm 0.07 $,
where the first errors are statistical, the second systematic
and the third due to model uncertainties.
We measure the $f_0(980)$ mass and width to be
$m_{f_0(980)}=(980.6 \pm 4.1 \pm 0.5\pm 4.0){\rm MeV}/c^2$ and
$\Gamma_{f_0(980)}=(43^{+12}_{-9} \pm 3 \pm 9 ){\rm MeV}/c^2$,
respectively.
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