Reconciling theX(3872)with the near-threshold enhancement in theD0D¯*0final state

Abstract

We investigate the enhancement in the $D^0{\overline{D}}^0{\pi }^0$ final state with the mass $M=3875.2\pm {0.7}_{-1.6}^{+0.3}\pm 0.8\mathrm{MeV}$ found recently by the Belle Collaboration in the $B\to K{D}^0{\overline{D}}^0{\pi }^0$ decay and test the possibility that this is yet another manifestation of the well-established resonance $X(3872)$. We perform a combined Flattè analysis of the data for the $D^0{\overline{D}}^0{\pi }^0$ mode and for the ${\pi }^{+}{\pi }^{-}J/\psi$ mode of the $X(3872)$. Only if the $X(3872)$ is a virtual state in the $D^0{\overline{D}}^{*0}$ channel do the data on the new enhancement comply with those on the $X(3872)$. In our fits, the mass distribution in the $D^0{\overline{D}}^{*0}$ mode exhibits a peak at 2–3 MeV above the $D^0{\overline{D}}^{*0}$ threshold, with a distinctive non-Breit-Wigner shape.