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Coupled-channel scattering of DD, DD*, and D*D* in isospin-1 from lattice QCD

Nelson Pitanga Lachini*, Christopher E. Thomas†, and David J. Wilson‡ (for the Hadron Spectrum Collaboration)

  • *Contact author: np612@cam.ac.uk
  • †Contact author: c.e.thomas@damtp.cam.ac.uk
  • ‡Contact author: d.j.wilson@damtp.cam.ac.uk

Phys. Rev. D 112, 114511 – Published 22 December, 2025

DOI: https://doi.org/10.1103/xz5r-p533

Abstract

The first coupled-channel determination of two-body D and D* scattering amplitudes in isospin-1 from lattice quantum chromodynamics (QCD) is presented. Using three lattice volumes at mπ≈391  MeV, finite-volume energies relevant for the channels of interest are determined. Through the Lüscher formalism, these energies are used to constrain amplitudes of coupled JP=0+  DD−D*D*, JP=1+  DD*−D*D*, and JP=2+  DD−DD*−D*D* scattering. All channels feature weakly repulsive interactions in the S-wave, except for a weak D*D* attraction in JP=0+. No amplitude singularities corresponding to physical states are found. Some of these amplitudes will be a necessary component of future lattice QCD analyses of DDπ and DD* scattering, taking into account three-body and left-hand cut effects.

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