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.

arXiv comment24 pages, 6 figures. Version including the corrections in the Erratum

References in corpus (51)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Potential NRQCD: an effective theory for heavy quarkonium
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• Observation of String Breaking in QCD
• Confirmation of the Double Charm Baryon Xi_cc+ via its Decay to p D+ K-
• Quark confinement and the bosonic string
• Charmed bottom baryon spectroscopy from lattice QCD
• Fine Structure of the QCD String Spectrum
• The HQET/NRQCD Lagrangian to order alpha/m^3
• Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks
• Search for Doubly Charmed Baryons Xi_cc^+ and Xi_cc^++ in BABAR
• Determination of the bottom quark mass from the ${\rm Y}(1S)$ system
• Charmed and Bottom Baryons from Lattice NRQCD
• First observation of the doubly charmed baryon decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\pi }^{+}$
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
• Quarkonium Hybrids with Nonrelativistic Effective Field Theories
• Charmed baryons at the physical point in 2+1 flavor lattice QCD
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• Charmed-Baryon Spectroscopy from Lattice QCD with N_f=2+1+1 Flavors
• Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD
• Charmed baryons in lattice QCD
• Charmed baryon spectroscopy and light flavour symmetry from lattice QCD
• Doubly Heavy Baryons, Heavy Quark-DiQuark Symmetry and NRQCD
• Spectroscopy of doubly-charmed baryons from lattice QCD
• Search for doubly charmed baryons and study of charmed strange baryons at Belle
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• Search for the doubly charmed baryon Xi_cc^+
• Low-lying baryon masses using $N_f=2$ twisted mass clover-improved fermions directly at the physical point
• Heavy Baryon Specroscopy from the Lattice
• The Born-Oppenheimer approximation in an effective field theory language
• Spectroscopy of Doubly-Charmed Baryons in Lattice QCD
• Spin structure of heavy-quark hybrids
• Heavy-light Mesons and Baryons with b quarks
• Bottom baryons from a dynamical lattice QCD simulation
• Search for the doubly charmed baryon ${\Xi }_{cc}^{+}$
• QCD spin effects in the heavy hybrid potentials and spectra
• Baryon Masses in Lattice QCD with Exact Chiral Symmetry
• Strange and charm baryon masses with two flavors of dynamical twisted mass fermions
• Lattice QCD study of doubly-charmed strange baryons
• Nonrelativistic effective field theory for heavy exotic hadrons
• Charmed hadron spectroscopy on the lattice for $N_f=2+1$ flavours
• Towards a Heavy Diquark Effective Theory for Weak Decays of Doubly Heavy Baryons
• Hybrid static potential flux tubes from SU(2) and SU(3) lattice gauge theory
• Perturbative Corrections to Heavy Quark-Diquark Symmetry Predictions for Doubly Heavy Baryon Hyperfine Splittings
• Heavy baryon spectrum on lattice with NRQCD bottom and HISQ lighter quarks
• Beautiful Baryons from Lattice QCD
• Lattice QCD study of the heavy-heavy-light quark potential
• Heavy-Baryon Spectroscopy from Lattice QCD

Cited by in corpus (18)

• 50 Years of Quantum Chromodynamics
• Charmed Baryon Physics Circa 2021
• Masses of Doubly Heavy Tetraquarks with Error Bars
• Exotic to standard bottomonium transitions
• Nonrelativistic effective field theory for heavy exotic hadrons
• Inclusive approach to hunt for the beauty-charmed baryons ${\Xi }_{bc}$
• 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