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 $$a=0...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14192-z |
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| author | Yu Meng Chuan Liu Xin-Yu Tuo Haobo Yan Zhaolong Zhang |
| author_facet | Yu Meng Chuan Liu Xin-Yu Tuo Haobo Yan Zhaolong Zhang |
| author_sort | Yu Meng |
| collection | DOAJ |
| description | Abstract We calculate the s-wave scattering length in the $$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)$$ a J / ψ J / ψ 2 + = - 0.165 ( 16 ) fm. The slight difference of light quark mass is ignored in this study. Our results indicate that the interaction between the two respective charmonia are repulsive in nature in both cases. |
| format | Article |
| id | doaj-art-83fe42d87c4a4eabbbf3e2b535db23e4 |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-83fe42d87c4a4eabbbf3e2b535db23e42025-08-20T02:19:07ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-04-018541810.1140/epjc/s10052-025-14192-zLattice calculation of the $$\eta _c\eta _c$$ η c η c and $$J/\psi J/\psi $$ J / ψ J / ψ s-wave scattering lengthYu Meng0Chuan Liu1Xin-Yu Tuo2Haobo Yan3Zhaolong Zhang4School of Physics, Zhengzhou UniversitySchool of Physics, Peking UniversityPhysics Department, Brookhaven National LaboratorySchool of Physics, Peking UniversitySchool of Physics, Peking UniversityAbstract We calculate the s-wave scattering length in the $$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)$$ a J / ψ J / ψ 2 + = - 0.165 ( 16 ) fm. The slight difference of light quark mass is ignored in this study. Our results indicate that the interaction between the two respective charmonia are repulsive in nature in both cases.https://doi.org/10.1140/epjc/s10052-025-14192-z |
| spellingShingle | Yu Meng Chuan Liu Xin-Yu Tuo Haobo Yan Zhaolong Zhang Lattice calculation of the $$\eta _c\eta _c$$ η c η c and $$J/\psi J/\psi $$ J / ψ J / ψ s-wave scattering length European Physical Journal C: Particles and Fields |
| title | Lattice calculation of the $$\eta _c\eta _c$$ η c η c and $$J/\psi J/\psi $$ J / ψ J / ψ s-wave scattering length |
| title_full | Lattice calculation of the $$\eta _c\eta _c$$ η c η c and $$J/\psi J/\psi $$ J / ψ J / ψ s-wave scattering length |
| title_fullStr | Lattice calculation of the $$\eta _c\eta _c$$ η c η c and $$J/\psi J/\psi $$ J / ψ J / ψ s-wave scattering length |
| title_full_unstemmed | Lattice calculation of the $$\eta _c\eta _c$$ η c η c and $$J/\psi J/\psi $$ J / ψ J / ψ s-wave scattering length |
| title_short | Lattice calculation of the $$\eta _c\eta _c$$ η c η c and $$J/\psi J/\psi $$ J / ψ J / ψ s-wave scattering length |
| title_sort | 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 |
| url | https://doi.org/10.1140/epjc/s10052-025-14192-z |
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