Probing the nature of $Y(4260)$ and $Z_c(3900)$ in the isospin violating process $Y(4260)\to J/\psi \eta {\pi }^0$

Abstract

The isospin violation process $Y(4260)\to J/\psi \eta {\pi }^0$ is studied assuming that $Y(4260)$ is a $D_1\bar{D}+c.c.$ hadronic molecule. In association with the production of the $Z_c(3900)$, which is treated as a $D{\bar{D}}^{\ast }+c.c.$ hadronic molecule, this process can help us distinguish their molecular natures from other scenarios, since the incomplete cancellation between the charged and neutral--meson loops, which are prominent in the molecular picture only, produces a peak in the $e^{+}{e}^{-}\to Y(4260)\to J/\psi \eta {\pi }^0$ cross section at the $D_1\bar{D}+c.c.$ threshold and a very prominent peak in the $J/\psi \eta$ invariant mass spectrum in between the $D{\bar{D}}^{\ast }+c.c.$ thresholds; the latter being much narrower than the corresponding one in the isospin conserving channel, i.e. $J/\psi {\pi }^{+}{\pi }^{-}$. The partial width of $Y(4260)\to J/\psi \eta {\pi }^0$ is about $4\times 10^{-4}$ of that of $Y(4260)\to J/\psi {\pi }^{+}{\pi }^{-}$. The cross section of $e^{+}{e}^{-}\to Y(4260)\to J/\psi \eta {\pi }^0$ at the $D_1\bar{D}+c.c.$ threshold is about $0.05\mathrm{pb}$ which is much larger than that produced by the nearby resonances. These features are the direct consequences of the assumed nature of these two states which might be accessible at the high-statistics experiments such as BESIII and LHCb.

11 pages, 4 figures

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• Charmonium
• Hadro-Charmonium
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• Effect of charmed meson loops on charmonium transitions
• Radiative and isospin-violating decays of Ds mesons in the hadrogenesis conjecture
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• Confirming the molecular nature of the $Z_b(10610)$ and the $Z_b(10650)$
• Subleading contributions to the width of the D_{s0}*(2317)
• Y(4260) and Y(4360) as mixed hadrocharmonium
• Possibility of measuring a0(980)-f0(980) mixing from J/psi -> phi a0
• Investigation of a0-f0 mixing
• Open charm effects in $e^{+}{e}^{-}\to J/\psi \eta$, $J/\psi {\pi }^0$ and $\varphi {\eta }_c$

Cited by in corpus (14)

• Hadronic molecules
• The $XYZ$ states: experimental and theoretical status and perspectives
• Searching for observable effects induced by anomalous triangle singularities
• $Y(4260)$ as the first $S$-wave open charm vector molecular state?
• X(3872) in the molecular model
• Strong decays of higher charmonium states into open-charm meson pairs
• Observation of Three Charmoniumlike States with $J^{PC}=1^{--}$ in $e^{+}{e}^{-}\to D^{\ast 0}{D}^{\ast -}{\pi }^{+}$
• Resonances in QCD
• Prediction of an exotic state around 4240 MeV with $J^{PC}=1^{-+}$ as C-parity partner of Y(4260) in molecular picture
• Searching for charmoniumlike states with hidden $s\bar{s}$
• Search for $J^{PC}=1^{-+}$ exotic state in $e^{+}{e}^{-}$ annihilation
• Search for the isospin violating decay $Y(4260)\to J/\psi \eta {\pi }^0$
• Measurement of $e^{+}{e}^{-}\to \varphi {\eta }^{\prime }$ cross sections at center-of-mass energies between 3.508 and 4.600 GeV
• Pinpointing Physical Solutions in Y(4230) Decays