English

$D\bar{D}$ interactions are weak near threshold in QCD

High Energy Physics - Lattice 2026-02-11 v1 High Energy Physics - Phenomenology

Abstract

We study near-threshold DDˉD\bar{D} scattering in SS and DD-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 ηcη\eta_c\eta. Using lattice QCD we compute, as a function of varying light-quark mass, the SS-matrix for coupled-channel ηcηDDˉ\eta_c\eta - 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 χc0(1P)\chi_{c0}(1P) state and the DsDˉsD_s\bar{D}_s threshold.

Keywords

Cite

@article{arxiv.2602.09862,
  title  = {$D\bar{D}$ interactions are weak near threshold in QCD},
  author = {David J. Wilson and Jozef J. Dudek and Robert G. Edwards and Christopher E. Thomas},
  journal= {arXiv preprint arXiv:2602.09862},
  year   = {2026}
}

Comments

19 pages, 8 figures

R2 v1 2026-07-01T10:29:51.303Z