Study of the lineshape of X ( 3872 ) using B decays to D 0 D ¯ * 0 K
We present a study of the X(3872) lineshape in the decay B →X(3872)K →D 0 $\overline{D}$ *0 K using a data sample of 772 ×10 6 B$\overline{B}$ pairs collected at the Y(4S) resonance with the Belle detector at the KEKB asymmetric-energy e + e - collider. The peak near the threshold in the D 0 $\overline{D}$ *0 invariant mass spectrum is fitted using a relativistic Breit-Wigner lineshape. We determine the mass and width parameters to be m BW =3873.71$^{+0.56}_{-0.50}$(stat) ±0.13(syst) MeV/c 2 and Γ BW =5.2$^{+2.2}_{-1.5}$(stat) ±0.4(syst) MeV, respectively. The branching fraction is found to be $\mathscr{B}$(B + → X(3872)K + ) × $\mathscr{B}$(X(3872) → D 0 $\overline{D}$ *0 ) = (0.97$^{+0.21}_{-0.18}$(stat) ± 0.10(syst)) ×10 -4 . The signal from B 0 decays is observed for the first time with 5.2σ significance, and the ratio of branching fractions between charged and neutral B decays is measured to be $\mathscr{B}$(B 0 → X(3872)K 0 )/$\mathscr{B}$(B + →X(3872)K + ) =1.34$^{+0.47}_{-0.40}$(stat) $^{+0.10}_{-0.12}$(syst). The peak is also studied using a Flatté lineshape. We determine the lower limit on the D 0 $\overline{D}$ * coupling constant g to be 0.075 at 95% credibility in the parameter region where the ratio of g to the mass difference from the D 0 $\overline{D}$ *0 threshold is equal to -15.11 GeV -1 , as measured by LHCb.