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Doubly charm tetraquark channel with isospin $1$ from lattice QCD

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arxiv 2411.06266 v2 pith:YLE64GYA submitted 2024-11-09 hep-lat

Lu Meng , Emmanuel Ortiz-Pacheco , Vadim Baru , Evgeny Epelbaum , M. Padmanath , Sasa Prelovsek This is my paper
classification hep-lat
keywords channelenergiescharmnearscatteringthresholdamplitudedoubly
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Experimentally, the doubly charm tetraquark channel $cc\bar q\bar q$ with $q\!=\!u,d$ features an exotic hadron, $T_{cc}$, with isospin $I\!=\!0$ near the $DD^*$ threshold, while no peak was observed for $I\!=\!1$. We present a lattice QCD study of this channel with $I\!=\!1$, $J^P\!=\!1^+$ and $m_\pi\simeq 280~$MeV. Finite-volume energies calculated across five charm quark masses consistently feature a positive energy shift with respect to non-interacting energies, indicating repulsive interaction at energies near threshold. These energies are used to compute the $DD^*$ scattering amplitude using both the standard L\"uscher method and the recently proposed effective-field-theory-based approach in the plane-wave basis, which incorporates the long-range interactions and the left-hand cut. Both analyses render a small negative scattering length and the scattering amplitude that does not feature any poles in the energy region near the $DD^*$ threshold, in line with LHCb results. We identify that the Wick contraction resembling $t$-channel isovector-vector meson exchanges between $D$ and $D^*$ plays a key role in distinguishing between the $I=0$ and $I=1$ channels, leading to repulsion in the $I=1$ and attraction in the $I=0$ channel.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Two-nucleon systems at $m_{\pi}\approx292$ MeV from lattice QCD

    hep-lat 2026-05 conditional novelty 6.0 of 10

    Lattice QCD at m_pi≈292 MeV finds virtual poles in the ^3S1 and ^1S0 NN channels with binding energies 6^{+5}_{-3} MeV and 11^{+6}_{-5} MeV, extracted via Lüscher and NPHF analyses.

  2. Analytic decomposition of two-body electroweak processes with left-hand cuts

    hep-lat 2026-07 accept novelty 5.0 of 10

    An on-shell decomposition of 2+J o2 electroweak amplitudes isolates OPE poles, logs, and triangle singularities, leaving only smooth short-distance functions.

  3. Investigating the two-pion exchange of the double charm $DD^*$ chiral interactions and $T_{cc}$

    hep-ph 2025-09 conditional novelty 4.0 of 10

    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.

  4. Production mechanism of doubly charmed exotic mesons $T_{cc}$

    hep-ph 2025-07 conditional novelty 4.0 of 10

    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.

  5. Hydrogen-like structures in the strong interaction

    hep-ph 2025-05 reject novelty 4.0 of 10

    T_cc+ is assigned to a compact color-sextet tetraquark by a Born-Oppenheimer quark model, which also predicts stable doubly heavy tetraquarks.

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