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Lattice calculation of the $\eta_c\eta_c$ and $J/\psi J/\psi$ s-wave scattering length
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abstract
We calculate the s-wave scattering length in the $0^+$ sector of $\eta_c\eta_c$ and the $2^+$ sector of $J/\psi J/\psi$ using three $N_f=2$ twisted mass gauge ensembles with the lattice spacing $a=0.0667,0.085,0.098$ fm, respectively. The scattering lengths are extracted using the conventional L{\"u}scher finite size method. We observe sizable discretization effects and the results after a continuum extrapolation are $a^{0^+}_{\eta_c\eta_c}=-0.104(09)$ fm and $a^{2^+}_{J/\psi J/\psi}=-0.165(16)$ fm. The slight difference of light quark mass is ignored in this study. Our results indicate that the interaction between the two respective charmonia are repulsive in nature in both cases.
Forward citations
Cited by 5 Pith papers
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Tensor Resonance in $J/\psi J/\psi$ Scattering from Lattice QCD
A lattice QCD computation predicts a 2++ J/psi J/psi resonance with mass 6.54 GeV and width 0.54 GeV, identified with the X(6600) structure.
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Lattice determination of the neutrino background for $J/\psi \rightarrow \gamma + \textrm{invisible}$
Lattice QCD predicts Br(J/ψ → γννbar) = 1.00(9)(7)×10^-10, the Standard Model neutrino background for J/ψ → γ + invisible.
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Next-to-leading order QCD corrections to electromagnetic production and decay of fully charm tetraquarks
The first NLO QCD corrections to fully charm tetraquark → γγ decay are given, with photon-fusion production cross sections predicted.
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$\eta_c\eta_c$ and $J/\psi J/\psi$ scatterings from lattice QCD
Lattice QCD predicts a broad J/psi J/psi 2++ resonance with mass about 6.54 GeV and width about 0.55 GeV, compatible with X(6600) and X(6400), plus a 0++ virtual state near threshold.
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Symmetry Analysis of Compact Tetraquark States and Implications for the Level Ordering of the Fully Charmed Candidates $X(6600)$, $X(6900)$, and $X(7100)$
Symmetry analysis of compact tetraquarks shows low-energy states favor J^P=2+ and places X(6600), X(6900), X(7100) among the lower levels of the fully charmed spectrum.
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