Axial Vector $cc$ and $bb$ Diquark Masses from QCD Laplace Sum-Rules

Abstract

Constituent mass predictions for axial vector (i.e., $J^P=1^{+}$) $cc$ and $bb$ colour antitriplet diquarks are generated using QCD Laplace sum-rules. We calculate the diquark correlator within the operator product expansion to NLO, including terms proportional to the four- and six-dimensional gluon and six-dimensional quark condensates. The sum-rules analyses stabilize, and we find that the mass of the $cc$ diquark is 3.51~GeV and the mass of the $bb$ diquark is 8.67~GeV. Using these diquark masses as inputs, we calculate several tetraquark masses within the Type-II diquark-antidiquark tetraquark model.

arXiv commentUpdated analysis, discussion and references

References in corpus (50)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• The hidden-charm pentaquark and tetraquark states
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Pentaquark and Tetraquark states
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• Exotics: Heavy Pentaquarks and Tetraquarks
• Exotica
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
• Isospin breaking of the narrow charmonium state of Belle at 3872 MeV as a deuson
• Connection between Feynman integrals having different values of the space-time dimension
• Short Range Structure in the X(3872)
• The D*0 D0bar threshold resonance
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Interference and binding effects in decays of possible molecular component of X(3872)
• Can the X(3872) be a 1^{++} four-quark state?
• Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension
• X(3872) and Other Possible Heavy Molecular States
• Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
• Masses of heavy tetraquarks in the relativistic quark model
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• Is X(3872) a molecule?
• X(3872): Hadronic Molecules in Effective Field Theory
• Observation of X(3872) production in pp collisions at sqrt(s)= 7 TeV
• Hunting for exotic doubly hidden-charm/bottom tetraquark states
• A non-relativistic model for the $[cc][\bar{c}\bar{c}]$ tetraquark
• All-heavy tetraquarks
• Analysis of the $QQ\bar{Q}\bar{Q}$ tetraquark states with QCD sum rules
• X(3872) as a molecular DD* state in a potential model
• Evidence for diquarks in lattice QCD
• TARCER - A Mathematica program for the reduction of two-loop propagator integrals
• Gluon condensates and c, b quark masses from quarkonia ratios of moments
• Heavy-light diquark masses from QCD sum rules and constituent diquark models of tetraquarks
• Diquark Masses from Lattice QCD
• Mass spectra of doubly heavy Omega_QQ' baryons
• Quark model description of the tetraquark state X(3872) in a relativistic constituent quark model with infrared confinement
• Observation of the Decay B=> J/psi eta K and Search for X(3872)=> J/psi eta
• Analysis of the scalar and axial-vector heavy diquark states with QCD sum rules
• Diquark and light four-quark states
• Analysis of the light-flavor scalar and axial-vector diquark states with QCD sum rules
• Masses of doubly heavy baryons in the Bethe-Salpeter equation approach
• Mass Spectrum of Heavy Quarkonium Hybrids
• A new tetra-quark interpretation of X(3872)
• Diquark mass differences from unquenched lattice QCD
• Instanton Effects on the Role of the Low-Energy Theorem for the Scalar Gluonic Correlation Function
• Diquarks: a QCD sum rule perspective
• Meson-Hybrid Mixing in $J^{PC}=1^{++}$ Heavy Quarkonium from QCD Sum-Rules
• A QCD Sum-Rules Analysis of Vector ($1^{--}$) Heavy Quarkonium Meson-Hybrid Mixing

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• Nonrelativistic Treatment of Fully-Heavy Tetraquarks as Diquark-Antidiquark States
• Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data
• Spectroscopy of all charm tetraquark states
• Spectrum of $cc\bar{b}\bar{b}$, $bc\bar{c}\bar{c}$, and $bc\bar{b}\bar{b}$ Tetraquark States in the Dynamical Diquark Model
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• Regge trajectory relations for the universal description of the heavy-light systems: diquarks, mesons, baryons and tetraquarks
• Study of the ${\Omega }_{ccc}{\Omega }_{ccc}$ and ${\Omega }_{bbb}{\Omega }_{bbb}$ dibaryons in QCD Sum Rules
• Mass-Spectroscopy of [$bb][\bar{b}\bar{b}$] and [$bq][\bar{b}\bar{q}$] tetraquark states in a diquark-antidiquark formalism