Effective field theory for double heavy baryons at strong coupling

Abstract

We present an effective field theory for doubly heavy baryons that goes beyond the compact heavy diquark approximation. The heavy-quark distance $r$ is only restricted to $m_Q\gg 1/r\gg E_{bin}$, where $m_Q$ is the mass of the heavy quark and $E_{bin}$ the typical binding energy. This means that the size of the heavy diquark can be as large as the typical size of a light hadron. We start from Non-Relativistic QCD, and build the effective field theory at next-to-leading in the $1/m_Q$ expansion. At leading order the effective field theory reduces to the Born-Oppenheimer approximation. The BO potentials are obtained from available lattice QCD data. The spectrum for double charm baryons below threshold is compatible with most of the lattice QCD results. We present for the first time the full spin averaged double bottom baryon spectrum below threshold based on QCD. We also present model-independent formulas for the spin splittings.

24 pages, 6 figures. Version including the corrections in the Erratum

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• One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
• Effective QCD string and doubly heavy baryons
• $b$-hadron spectroscopy study based on the similarity of double bottom baryon and bottom meson
• Molecular ${\Omega }_{cc}$ , ${\Omega }_{bb}$ and ${\Omega }_{bc}$ states
• Some Properties of the $QQq$-Quark Potential in String Models
• Heavy meson thresholds in Born-Oppenheimer Effective field theory
• Revisiting lifetimes of doubly charmed baryons
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Born-Oppenheimer Potentials for $SU(3)$ Gauge Theory
• Strong decays of the low-lying doubly bottom baryons
• Model-independent predictions for decays of double-heavy hadrons into pairs of heavy hadrons
• Effect of continuum states on the double-heavy hadron spectra