Study of $e^+e^- \to γωJ/ψ$ and Observation of $X(3872) \to ωJ/ψ$

Abstract

We study the $e^+e^-\toγωJ/ψ$ process using $11.6 ~\rm fb^{-1}$ $e^+ e^-$ annihilation data taken at center-of-mass energies from $\sqrt{s}=4.008~\rm GeV$ to $4.600~\rm GeV$ with the BESIII detector at the BEPCII storage ring. The $X(3872)$ resonance is observed for the first time in the $ωJ/ψ$ system with a significance of more than $5σ$. The relative decay ratio of $X(3872)\toωJ/ψ$ and $π^+π^- J/ψ$ is measured to be $\mathcal{R}=1.6^{+0.4}_{-0.3}\pm0.2$, where the first error is statistical and the second systematic (the same hereafter). The $\sqrt{s}$-dependent cross section of $e^+e^-\toγX(3872)$ is also measured and investigated, and it can be described by a single Breit-Wigner resonance, referred to as the $Y(4200)$, with a mass of $4200.6^{+7.9}_{-13.3}\pm3.0~{\rm MeV}/c^2$ and a width of $115^{+38}_{-26}\pm12~{\rm MeV}$. In addition, to describe the $ωJ/ψ$ mass distribution above $3.9~\rm GeV/c^2$, we need at least one additional Breit-Wigner resonance, labeled as $X(3915)$, in the fit. The mass and width of the $X(3915)$ are measured to be $3926.4\pm2.2\pm1.2~\rm MeV/c^2$ and $3.8\pm7.5\pm2.6~\rm MeV$, or $3932.6\pm8.7\pm4.7~\rm MeV/c^2$ and $59.7\pm15.5\pm3.7~\rm MeV$, respectively, depending on the fit models. The resonant parameters of the $X(3915)$ agree with those of the $Y(3940)$ in $B\to KωJ/ψ$ and of the $X(3915)$ in $γγ\toωJ/ψ$ by the Belle and BABAR experiments within errors.