Nonrelativistic effective field theory for heavy exotic hadrons

Abstract

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.

14 pages, 1 figure. Journal version. Corrected eqs. (34) and (35) matching the Erratum

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• Observation of String Breaking in QCD
• The HQET/NRQCD Lagrangian to order alpha/m^3
• Ab Initio Study of Hybrid b-bar-gb Mesons
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• The QCD Potential at $O(1/m)$
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Cited by in corpus (26)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Masses of Doubly Heavy Tetraquarks with Error Bars
• Exotic to standard bottomonium transitions
• One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
• Effective field theory for double heavy baryons at strong coupling
• Tetraquark systems $\bar{b}b\bar{d}u$ in the static limit and lattice QCD
• Effective QCD string and doubly heavy baryons
• Heavy hybrid decays to quarkonia
• Hyperfine splittings of heavy quarkonium hybrids
• Heavy meson thresholds in Born-Oppenheimer Effective field theory
• The $Z_b$ structures in a constituent quark model coupled-channels calculation
• The nature of ${\chi }_{c1}\left(3872\right)$ and $T_{cc}^{+}\left(3875\right)$
• Model-independent predictions for decays of hidden-heavy hadrons into pairs of heavy hadrons
• Tetraquark Masses by using extension of Gursey-Radicati Mass Formula
• Born-Oppenheimer Potentials for $SU(3)$ Gauge Theory
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• A potential approach to the $X(3872)$ thermal behavior
• Tetraquarks in the Born-Oppenheimer approximation
• Model-independent predictions for decays of double-heavy hadrons into pairs of heavy hadrons
• Transition properties of Doubly Heavy Baryons
• Effect of continuum states on the double-heavy hadron spectra
• 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
• Production cross sections of tetraquark states in elementary hadronic collisions
• Hybrid to Quarkonia transitions
• Wilson loops with neural networks
• Doubly heavy baryons in Born-Oppenheimer EFT