Lattice QCD study of $Λ_c Λ_c$ scattering
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908279279452160 |
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| author | Xing, Hanyang Geng, Yiqi Liu, Chuan Liu, Liuming Sun, Peng Wu, Jiajun Yan, Zhicheng Zhu, Ruilin |
| author_facet | Xing, Hanyang Geng, Yiqi Liu, Chuan Liu, Liuming Sun, Peng Wu, Jiajun Yan, Zhicheng Zhu, Ruilin |
| contents | We present the first lattice result of the near threshold $Λ_cΛ_c$ scattering with $I(J^P) = 0(0^+)$. The calculation is performed on two $N_f = 2+1$ Wilson-Clover ensembles with pion mass $m_π\sim 303$\,MeV and lattice spacing $a = 0.07746$\,fm. The Lüscher's finite volume method is utilized to extract the scattering parameters from the finite-volume spectrum. The coupled channel $Ξ_{cc}N$ is ignored in the scattering analysis based on the observation that the energy levels computed from the $Λ_cΛ_c$ and $Ξ_{cc}N$ operators do not mix. The $Σ_cΣ_c$ channel is not included either since the energy range explored in this study is well below its threshold. Our results indicate that the interaction in the $Λ_cΛ_c$ single channel is repulsive, and the scattering length is determined to be $a_0 = -0.21(4)(8)$\,fm, where the first error is the statistical error and the second is the systematic error. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_05546 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lattice QCD study of $Λ_c Λ_c$ scattering Xing, Hanyang Geng, Yiqi Liu, Chuan Liu, Liuming Sun, Peng Wu, Jiajun Yan, Zhicheng Zhu, Ruilin High Energy Physics - Lattice We present the first lattice result of the near threshold $Λ_cΛ_c$ scattering with $I(J^P) = 0(0^+)$. The calculation is performed on two $N_f = 2+1$ Wilson-Clover ensembles with pion mass $m_π\sim 303$\,MeV and lattice spacing $a = 0.07746$\,fm. The Lüscher's finite volume method is utilized to extract the scattering parameters from the finite-volume spectrum. The coupled channel $Ξ_{cc}N$ is ignored in the scattering analysis based on the observation that the energy levels computed from the $Λ_cΛ_c$ and $Ξ_{cc}N$ operators do not mix. The $Σ_cΣ_c$ channel is not included either since the energy range explored in this study is well below its threshold. Our results indicate that the interaction in the $Λ_cΛ_c$ single channel is repulsive, and the scattering length is determined to be $a_0 = -0.21(4)(8)$\,fm, where the first error is the statistical error and the second is the systematic error. |
| title | Lattice QCD study of $Λ_c Λ_c$ scattering |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2502.05546 |