Near-threshold states in coupled $D{D}^{*}-D^{*}{D}^{*}$ scattering from lattice QCD

Journal Article · 23 February 2025 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.111.034511 · OSTI ID:2522838

Whyte, Travis ; Wilson, David J. ; Thomas, Christopher E.

The first determination of doubly charmed isospin-0 coupled-channel $D{D}^{*}-D^{*}{D}^{*}$ scattering amplitudes from lattice quantum chromodynamics (QCD) is presented. The finite-volume spectrum is computed for three lattice volumes with a light-quark mass corresponding to $m_{\pi }\approx 391\mathrm{MeV}$ and is used to extract the scattering amplitudes in $J^P=1^{+}$ via the Lüscher quantization condition. By analytically continuing the scattering amplitudes to complex energies, a $T_{cc}$ pole corresponding to a virtual bound state is found below $D{D}^{*}$ threshold. We also find a second pole, $T_{cc}^{\prime }$ , corresponding to a resonance pole below the kinematically closed $D^{*}{D}^{*}$ channel, to which it has a strong coupling. A nonzero coupling is robustly found between the $S$ -wave $D{D}^{*}$ and $D^{*}{D}^{*}$ channels producing a clear cusp in the $D{D}^{*}$ amplitude at the $D^{*}{D}^{*}$ threshold energy. This suggests that the experimental $T_{cc}^{\prime }$ should be observable in $D{D}^{*}$ and $D^{*}{D}^{*}$ final states at ongoing experiments. Published by the American Physical Society 2025

• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• Grant/Contract Number: AC02-05CH11231; AC05-00OR22725
• OSTI ID: 2522838
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 111; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English