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Nonrelativistic effective field theory for heavy exotic hadrons
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We propose an effective field theory to describe hadrons with two heavy quarks without any assumption on the typical distance between the heavy quarks with respect to the typical hadronic scale. The construction is based on Non-Relativistic QCD and inspired in the strong coupling regime of Potential Non-Relativistic QCD. We construct the effective theory at leading and next-to-leading order in the inverse heavy-quark mass expansion for arbitrary quantum numbers of the light degrees of freedom. Hence our results hold for hybrids, tetraquarks, double heavy baryons and pentaquarks, for which we also present the corresponding operators at Non-Relativistic level. At leading order, the effective theory enjoys heavy quark spin symmetry and corresponds to the Born-Oppenheimer approximation. At next-to-leading order, spin and velocity dependent terms arise, which produce splittings in the heavy-quark spin symmetry multiplets. A concrete application to double heavy baryons is presented in an accompanying paper.
Forward citations
Cited by 5 Pith papers
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Hybrid spin-dependent and hybrid-quarkonium mixing potentials at order $(1 /m_Q)^1$ from SU(3) lattice gauge theory
First SU(3) lattice computation of the four order-(1/m_Q)^1 hybrid spin-dependent and hybrid-quarkonium mixing potentials at a single lattice spacing.
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Quarkoniumlike states above open-flavor thresholds in Born-Oppenheimer EFT
A QCD-constrained Born-Oppenheimer calculation organizes most observed quarkoniumlike states above open-flavor thresholds into heavy-quark-spin-symmetry multiplets and predicts a shallow X_b.
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Tetraquarks in the Born-Oppenheimer approximation
An extended Born-Oppenheimer tetraquark model yields a compact shallow bound state for X(3872) and a radiative decay ratio R=1.4±0.3, consistent with LHCb.
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Prediction of an $I(J^{P})=0(1^{-})$ $\bar{b}\bar{b}ud$ Tetraquark Resonance Close to the $B^\ast B^\ast$ Threshold Using Lattice QCD Potentials
A coupled-channel Born-Oppenheimer calculation with lattice QCD potentials predicts a broad \bar{b}\bar{b}ud tetraquark resonance about 4 MeV above the B*B* threshold, with mass 2m_B + 94 MeV and width 140 MeV.
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The Pattern of Exotic Hidden-Heavy Hadrons Revealed
Exotic hidden-heavy hadrons are proposed as near-threshold bound states and resonances in Born-Oppenheimer potentials that are repulsive at short range and cross the heavy-hadron-pair threshold.
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