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Lattice calculation of the η_cη_c and J/psi J/psi s-wave scattering length
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Lattice calculation of the η_cη_c and J/psi J/psi s-wave scattering length
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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 4 Pith papers
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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 $X(7100)$
Counting symmetry-allowed states up to orbital angular momentum L=3 predicts low-lying compact tetraquarks prefer J^P=2^+, matching the observed 2^{++} fully charmed X states.
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