Lattice calculation of the $η_cη_c$ and $J/ψJ/ψ$ s-wave scattering length
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913793958739968 |
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| author | Meng, Yu Liu, Chuan Tuo, Xin-Yu Yan, Haobo Zhang, Zhaolong |
| author_facet | Meng, Yu Liu, Chuan Tuo, Xin-Yu Yan, Haobo Zhang, Zhaolong |
| contents | We calculate the s-wave scattering length in the $0^+$ sector of $η_cη_c$ and the $2^+$ sector of $J/ψJ/ψ$ 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{ü}scher finite size method. We observe sizable discretization effects and the results after a continuum extrapolation are $a^{0^+}_{η_cη_c}=-0.104(09)$ fm and $a^{2^+}_{J/ψJ/ψ}=-0.165(16)$ 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11533 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lattice calculation of the $η_cη_c$ and $J/ψJ/ψ$ s-wave scattering length Meng, Yu Liu, Chuan Tuo, Xin-Yu Yan, Haobo Zhang, Zhaolong High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology We calculate the s-wave scattering length in the $0^+$ sector of $η_cη_c$ and the $2^+$ sector of $J/ψJ/ψ$ 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{ü}scher finite size method. We observe sizable discretization effects and the results after a continuum extrapolation are $a^{0^+}_{η_cη_c}=-0.104(09)$ fm and $a^{2^+}_{J/ψJ/ψ}=-0.165(16)$ 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. |
| title | Lattice calculation of the $η_cη_c$ and $J/ψJ/ψ$ s-wave scattering length |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.11533 |