Reconciling the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3872</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>with the near-threshold enhancement in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>D</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mover accent="true"><mml:mi>D</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mrow><mml:mo>*</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math>final state

Abstract

We investigate the enhancement in the ${D}^{0}{\overline{D}}^{0}{\ensuremath{\pi}}^{0}$ final state with the mass $M=3875.2\ifmmode\pm\else\textpm\fi{}{0.7}_{\ensuremath{-}1.6}^{+0.3}\ifmmode\pm\else\textpm\fi{}0.8\text{ }\text{ }\mathrm{MeV}$ found recently by the Belle Collaboration in the $B\ensuremath{\rightarrow}K{D}^{0}{\overline{D}}^{0}{\ensuremath{\pi}}^{0}$ decay and test the possibility that this is yet another manifestation of the well-established resonance $X(3872)$. We perform a combined Flatt\`e analysis of the data for the ${D}^{0}{\overline{D}}^{0}{\ensuremath{\pi}}^{0}$ mode and for the ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}J/\ensuremath{\psi}$ 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.