Near-threshold structures in seven e+e- annihilation channels are simultaneously described by a single chiral-EFT N Nbar final-state interaction plus slowly varying short-distance sources, without channel-specific narrow resonances.
Ablikimet al.(BESIII), Observation of an anoma- lous line shape of theη ′π+π− mass spectrum near the p¯pmass threshold inJ/ψ→γη ′π+π−, Phys
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abstract
Using $1.09\times10^{9}$ $J/\psi$ events collected by the BESIII experiment in 2012, we study the $J/\psi\rightarrow\gamma\eta^{\prime}\pi^{+}\pi^{-}$ process and observe a significant abrupt change in the slope of the $\eta^{\prime}\pi^{+}\pi^{-}$ invariant mass distribution at the proton-antiproton ($p\bar{p}$) mass threshold. We use two models to characterize the $\eta^{\prime}\pi^{+}\pi^{-}$ line shape around $1.85~\text{GeV}/c^{2}$: one which explicitly incorporates the opening of a decay threshold in the mass spectrum (Flatt\'{e} formula), and another which is the coherent sum of two resonant amplitudes. Both fits show almost equally good agreement with data, and suggest the existence of either a broad state around $1.85~\text{GeV}/c^{2}$ with strong couplings to $p\bar{p}$ final states or a narrow state just below the $p\bar{p}$ mass threshold. Although we cannot distinguish between the fits, either one supports the existence of a $p\bar{p}$ molecule-like state or bound state with greater than $7\sigma$ significance.
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Mixing with a small angle between the pseudoscalar glueball and η_c can increase Br(J/ψ → γ X(2370)) well above the pure-glueball value of 2.3(8)×10^{-4}.
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Understanding the near-threshold structures in $e^+e^- $ annihilation from a unified $N \bar N$-interaction perspective
Near-threshold structures in seven e+e- annihilation channels are simultaneously described by a single chiral-EFT N Nbar final-state interaction plus slowly varying short-distance sources, without channel-specific narrow resonances.
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Production Rate of Glueball-like $X(2370)$ in $J/\psi$ Radiative Decay
Mixing with a small angle between the pseudoscalar glueball and η_c can increase Br(J/ψ → γ X(2370)) well above the pure-glueball value of 2.3(8)×10^{-4}.