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Near-threshold states in coupled $DD^{\ast}-D^{\ast}D^{\ast}$ scattering from lattice QCD
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abstract
The first determination of doubly-charmed isospin-0 coupled-channel $DD^\ast-D^\ast D^\ast$ scattering amplitudes from lattice QCD is presented. The finite-volume spectrum is computed for three lattice volumes with a light-quark mass corresponding to $m_\pi\approx 391$ MeV and is used to extract the scattering amplitudes in $J^P = 1^+$ via the L\"{u}scher quantization condition. By analytically continuing the scattering amplitudes to complex energies, a $T_{cc}$ pole corresponding to a virtual bound state is found below $DD^\ast$ threshold. We also find a second pole, $T_{cc}^\prime$, corresponding to a resonance pole below the kinematically closed $D^\ast D^\ast$ channel, to which it has a strong coupling. A non-zero coupling is robustly found between the $S$-wave $D D^\ast$ and $D^\ast D^\ast$ channels producing a clear cusp in the $D D^\ast$ amplitude at the $D^\ast D^\ast$ threshold energy. This suggests that the experimental $T_{cc}^\prime$ should be observable in $D D^\ast$ and $D^\ast D^\ast$ final states at ongoing experiments.
Forward citations
Cited by 5 Pith papers
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Low-energy $DD$ scattering in lattice QCD
The first lattice QCD calculation of single-channel DD scattering finds a weakly repulsive S-wave isovector interaction and a slightly attractive P-wave isoscalar interaction.
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An on-shell decomposition of 2+J o2 electroweak amplitudes isolates OPE poles, logs, and triangle singularities, leaving only smooth short-distance functions.
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Investigating the two-pion exchange of the double charm $DD^*$ chiral interactions and $T_{cc}$
In this chiral EFT calculation the I=0 DD* two-pion-exchange potential is repulsive, and its near-cancellation with attractive contact and one-pion terms provides the weak binding of Tcc.
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Production mechanism of doubly charmed exotic mesons $T_{cc}$
A coupled-channel model generates the Tcc(3875)+ as an isovector DD* molecule and predicts three additional J=1 tetraquark states, including a negative-parity resonance.
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From scattering towards multi-hadron weak decays
A review of current lattice QCD scattering calculations shows that finite-volume formalisms now enable multi-hadron weak decay studies with direct relevance to flavour physics.
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