$D\bar{D}$ interactions are weak near threshold in QCD
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917264050094080 |
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| author | Wilson, David J. Dudek, Jozef J. Edwards, Robert G. Thomas, Christopher E. |
| author_facet | Wilson, David J. Dudek, Jozef J. Edwards, Robert G. Thomas, Christopher E. |
| contents | We study near-threshold $D\bar{D}$ scattering in $S$ and $D$-wave to determine whether or not resonances or bound states are present. Working in the approximation where charm-annihilation is forbidden, with two degenerate light-quark flavors and a heavier strange quark, isospin is a good quantum number, and the only other other channel that is kinematically open is $η_cη$. Using lattice QCD we compute, as a function of varying light-quark mass, the $S$-matrix for coupled-channel $η_cη- D\bar{D}$ scattering and find only weakly interacting meson pairs. In contrast to several other studies, we find no evidence for any bound-state or resonance singularity in the energy region between the deeply-bound $χ_{c0}(1P)$ state and the $D_s\bar{D}_s$ threshold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09862 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $D\bar{D}$ interactions are weak near threshold in QCD Wilson, David J. Dudek, Jozef J. Edwards, Robert G. Thomas, Christopher E. High Energy Physics - Lattice High Energy Physics - Phenomenology We study near-threshold $D\bar{D}$ scattering in $S$ and $D$-wave to determine whether or not resonances or bound states are present. Working in the approximation where charm-annihilation is forbidden, with two degenerate light-quark flavors and a heavier strange quark, isospin is a good quantum number, and the only other other channel that is kinematically open is $η_cη$. Using lattice QCD we compute, as a function of varying light-quark mass, the $S$-matrix for coupled-channel $η_cη- D\bar{D}$ scattering and find only weakly interacting meson pairs. In contrast to several other studies, we find no evidence for any bound-state or resonance singularity in the energy region between the deeply-bound $χ_{c0}(1P)$ state and the $D_s\bar{D}_s$ threshold. |
| title | $D\bar{D}$ interactions are weak near threshold in QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.09862 |