Lattice calculation of the $$\eta _c\eta _c$$ η c η c and $$J/\psi J/\psi $$ J / ψ J / ψ s-wave scattering length
Abstract We calculate the s-wave scattering length in the $$0^+$$ 0 + sector of $$\eta _c\eta _c$$ η c η c and the $$2^+$$ 2 + sector of $$J/\psi J/\psi $$ J / ψ J / ψ using three $$N_f=2$$ N f = 2 twisted mass gauge ensembles with the pion mass $$300{-}365$$ 300 - 365 MeV and lattice spacing $$a=0...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14192-z |
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| Summary: | Abstract We calculate the s-wave scattering length in the $$0^+$$ 0 + sector of $$\eta _c\eta _c$$ η c η c and the $$2^+$$ 2 + sector of $$J/\psi J/\psi $$ J / ψ J / ψ using three $$N_f=2$$ N f = 2 twisted mass gauge ensembles with the pion mass $$300{-}365$$ 300 - 365 MeV and lattice spacing $$a=0.0667,0.085,0.098$$ a = 0.0667 , 0.085 , 0.098 fm, respectively. The scattering lengths are extracted using the conventional Lüscher finite size method. We observe sizable discretization effects and the results after a continuum extrapolation are $$a^{0^+}_{\eta _c\eta _c}=-0.104(09)$$ a η c η c 0 + = - 0.104 ( 09 ) fm and $$a^{2^+}_{J/\psi J/\psi }=-0.165(16)$$ a J / ψ J / ψ 2 + = - 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. |
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| ISSN: | 1434-6052 |