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Lattice perspectives on doubly heavy tetraquarks
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abstract
Doubly heavy tetraquarks have emerged as new probes to study the heavy hadron spectrum. With the experimental observation of the $J^P=1^+$ $T_{cc}^+$, they pose a unique opportunity to bring together efforts in experiment, phenomenology, and lattice QCD. In lattice calculations they are accessible as ground states, unlike hidden flavor tetraquarks, and this enables accurate determinations of the scattering parameters alongside the binding energies of these tetraquarks. Today, lattice calculations firmly predict $J^P=1^+$ $T_{bb}^{ud}$ and $T_{bb}^{us}$ as QCD bound states, while recent studies approaching the $J^P=1^+$ $T_{cc}^{ud}$ find it to be a virtual bound state at slightly non-physical input quark masses. Studies of the $J^P=1^+$ $T_{bc}^{ud}$ are ongoing and a new focus area. In light of these developments the evolution of this field until this point is reviewed. Emphasis is put on the methods in lattice spectroscopy that enable a robust evaluation of the lattice studies gathered. They are further reviewed towards their limitations and achievements. Current challenges and opportunities are discussed, including possibilities to approach the left-hand cut in the scattering analysis of the charm candidates and towards understanding the structure of those including two bottom quarks.
Forward citations
Cited by 5 Pith papers
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Electromagnetic form factors and structure of the $T_{bb}$ tetraquark from lattice QCD
Lattice QCD on one ensemble yields electromagnetic form factors for T_bb, indicating a compact heavy diquark plus light antidiquark bound state with charge radius smaller than the BB* threshold.
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Analytic decomposition of two-body electroweak processes with left-hand cuts
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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Diffusion Monte Carlo study of deuteron-like fully light hexaquarks
Within the AL1 constituent-quark model, compact uuuddd hexaquarks lie well above baryon–baryon thresholds while dibaryon-like states are near-threshold molecular candidates, one deuteron-like but unbound by ~12 MeV.
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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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Triply heavy tetraquarks $\bar{b}c\bar{q}c$ and $\bar{c}b\bar{q}b$ in a constituent quark model
A constituent quark model predicts dozens of narrow tetraquark resonances in the mixed beauty-charm systems \bar{b}c\bar{q}c and \bar{c}b\bar{q}b.
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