Some properties of the newly observed X(1835) state at BES

Abstract

Recently the BES collaboration has announced observation of a resonant state in the ${\pi }^{+}{\pi }^{-}{\eta }^{\prime }$ spectrum in $J/\psi \to \gamma {\pi }^{+}{\pi }^{-}{\eta }^{\prime }$ decay. Fitting the data with a $0^{-+}$ state, the mass is determined to be 1833.7 MeV with $7.7\sigma$ statistic significance. This state is consistent with the one extracted from previously reported $p\bar{p}$ threshold enhancement data in $J/\psi \to \gamma p\bar{p}$. We study the properties of this state using QCD anomaly and QCD sum rules assuming X(1835) to be a pseudoscalar and show that it is consistent with data. We find that this state has a sizeable matrix element $<0|G\tilde{G}|G_p>$ leading to branching ratios of $(2.61\sim 7.37)\times 10^{-3}$ and $(2.21\sim 10.61)\times 10^{-2}$ for $J/\psi \to \gamma G_p$ and for $G_p\to {\pi }^{+}{\pi }^{-}{\eta }^{\prime }$, respectively. Combining the calculated branching ratio of $J/\psi \to \gamma G_p$ and data on threshold enhancement in $J/\psi \to \gamma p\bar{p}$, we determine the coupling for $G_p-p-\bar{p}$ interaction. We finally study branching ratios of other $J/\psi \to \gamma +threemesons$ decay modes. We find that $J/\psi \to \gamma G_p\to \gamma ({\pi }^{+}{\pi }^{-}\eta ,KK{\pi }^0)$ can provide useful tests for the mechanism proposed.

arXiv comment13 pages, 3 figures. The final version to appear at EPJC

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Cited by in corpus (25)

• An updated review of the new hadron states
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• Categorizing resonances X(1835), X(2120) and X(2370) in the pseudoscalar meson family
• On the near-threshold $\bar{p}p$ invariant mass spectrum measured in $J/\psi$ and ${\psi }^{\prime }$ decays
• $X(1835)$ and $\eta (1760)$ observed by the BES Collaboration
• Near Threshold Enhancement of p pbar System and p pbar Elastic Scattering
• Baryonium, tetra-quark state and glue-ball in large N_c QCD
• $X(1835)$ and the New Resonances $X(2120)$ and $X(2370)$ Observed by the BES Collaboration
• Rescattering Effect and Near Threshold Enhancement of $p\bar{p}$ System
• X(1835), X(2120) and X(2370) in a flux tube model
• First study of η_c, η(1760) and X(1835) production via η'π^+π^- final states in two-photon collisions
• The pseudoscalar glueball in a chiral Lagrangian model with instanton effect
• Interaction of real and virtual $p\bar{p}$ pairs in $J/\psi \to p\bar{p}\gamma (\rho ,\omega )$ decays
• Chiral field theory of $0^{-+}$ glueball
• $N\bar{N}$ Scattering at NLO Order in An Effective Theory
• Analysis of the X(1835) and related baryonium states with Bethe-Salpeter equation
• Observation of $J/\psi$ Electromagnetic Dalitz Decays to $X(1835)$, $X(2120)$ and $X(2370)$
• Strong and Electromagnetic Decays of X(1835) as a Baryonium State
• Angular distributions in $J/\psi \to p\bar{p}{\pi }^0(\eta )$ decays
• Glueball Production via Gluonic Penguin B Decays
• Search for the process $e^{+}{e}^{-}\to J/\psi +X(1835)$ at $\sqrt{s}\approx 10.6$GeV
• Analysis of the $X(1835)$ as a baryonium state with Bethe-Salpeter equation
• Decay Widths of X(1835) as Nucleon-Antinucleon Bound State
• Hadronic rescattering to solve helicity puzzle in $B^{+}\to p\bar{p}{\pi }^{+}(K^{+})$ decays
• Baryons and baryoniums in the perspective of QCD sum rules