On leptonic width of $X(4260)$

Abstract

New measurements on cross sections in $e^{+}{e}^{-}\to J/\psi {\pi }^{+}{\pi }^{-}$, $h_c{\pi }^{+}{\pi }^{-}$, $D^0{D}^{\ast -}{\pi }^{+}+c.c.$, $\psi (2S){\pi }^{+}{\pi }^{-}$, $\omega {\chi }_{c0}$ and $J/\psi \eta$ channels have been carried out by BESIII, Belle and BABAR collaborations, and also in the $D_s^{\ast }{\bar{D}}_s^{\ast }$ channel. We perform extensive numerical analyses by combining all these data available, together with those in $D{\bar{D}}^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$ channels. Though the latter show no evident peak around $\sqrt{s}=4.230$ GeV, the missing $X(4260)$ is explained as that it is concealed by the interference effects of the well established charmonia $\psi (4040)$, $\psi (4160)$ and $\psi (4415)$. Our analyses reveal that the leptonic decay width of $X(4260)$ ranges from $O(10^2)$ eV to $O(1)$ keV, and hence may be explained in the conventional quark model picture. That is, the $X(4260)$ may well be interpreted as a mixture of $4^3{S}_1$ and $3^3{D}_1$ states.

arXiv commenttwo small mistakes are fixed, figures redrawn, major physical outputs remain unchanged. Version published in EPJC

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• Precise Measurement of Born Cross Sections for $e^{+}{e}^{-}\to D\bar{D}$ at $\sqrt{s}=3.80-4.95$ GeV
• Colloquium: Hadron Production in Open-charm Meson Pair at $e^{+}{e}^{-}$ Collider
• Cross section measurements of the $e^{+}{e}^{-}\to D^{\ast +}{D}^{\ast -}$ and $e^{+}{e}^{-}\to D^{\ast +}{D}^{-}$ processes at center-of-mass energies from 4.085 to 4.600 GeV
• On the nature of X(3960)
• Identifying Hadronic Molecular States with a Neural Network
• Observation of Three Resonant Structures in the Cross Section of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{h}_c$