$B_s^0$ lifetime measurement in the CP-odd decay channel $B_s^0\to J\mathrm{/}\psi f_0(980)$

The lifetime of the $B_s^0$ meson is measured in the decay channel $B_s^0\to J\mathrm{/}\psi {\pi }^{+}{\pi }^{-}$ with $880 \leq M_{\pi^+\pi^-} \leq 1080$MeV\mathrm{/}$c^2$,whichismainlyaCP-oddstateanddominatedbythe$f_{0}(980)$resonance\mathrm{.}In10.4fb$^{-1}$ of data collected with the D0 detector in Run II of the Tevatron, the lifetime of the $B_s^0$ meson is measured to be $\tau(B^{0}_{s}) = 1.70\pm 0.14 \mbox{ (stat)} \pm 0.05 \mbox{ (syst) ps}$\mathrm{.}NeglectingCPviolationin$B_s^0/\bar{B}_s^0$ mixing, the measurement can be translated into the width of the heavy mass eigenstate of the $B_s^0$, $\Gamma_H = 0.59 \pm 0.05 \mbox{ (stat)} \pm 0.02 \mbox{ (syst)} \mbox{ ps${}^{-1}$}$.