QCD sum rules study of $QQ-\bar{u}\bar{d}$ mesons

Abstract

We use QCD sum rules to study the possible existence of $QQ-\bar{u}\bar{d}$ mesons, assumed to be a state with $J^P=1^{+}$. For definiteness, we work with a current with an axial heavy diquark and a scalar light antidiquark, at leading order in ${\alpha }_s$. We consider the contributions of condensates up to dimension eight. For the $b$-quark, we predict $M_{T_{bb}}=(10.2\pm 0.3)\mathrm{GeV}$, which is below the $\bar{B}{\bar{B}}^{\ast }$ threshold. For the $c$-quark, we predict $M_{T_{cc}}=(4.0\pm 0.2)\mathrm{GeV}$, in agreement with quark model predictions.

replaced version accepted for publication to Phys. Lett. B

References in corpus (24)

• Diquarks and Exotic Spectroscopy
• Chiral Multiplets of Heavy-Light Mesons
• Can the X(3872) be a 1^{++} four-quark state?
• Testing the Nature of the D_{sJ}^*(2317)^+ and D_{sJ}(2463)^+ States Using Radiative Transitions
• Heavy quarkonia mass-splittings in QCD: test of the $1/m$-expansion and estimates of $<{\alpha }_s{G}^2>$ and ${\alpha }_s$
• QCD tests from $e^+e^- \rar I=1~$ hadrons data and implication on the value of ${\alpha }_s$ from $\tau$-decays
• Baryonic Correlation Functions in the Random Instanton Vacuum
• Understanding the $D_{sJ}^{+}(2317)$ and $D_{sJ}^{+}(2460)$ with Sum Rules in HQET
• Open Charm and Beauty Chiral Multiplets in QCD
• QCD sum rule approach for the light scalar mesons as four-quark states
• A schematic model for pentaquarks based on diquarks
• V-A hadronic tau decays : a laboratory for the QCD vacuum
• QCD Tests of the Puzzling Scalar Mesons
• Disentangling two- and four-quark state pictures of the charmed scalar mesons
• Strange-quark mass from combined e+e- and tau-decay data:test of the isospin symmetry and implications on epsilon'/εand m_{u,d}
• D_s (2317) as a four-quark state in QCD sum rules
• Exotic Tetraquark ud bar[s] bar[s] of J^P=0^+ in the QCD Sum Rule
• Analysis the $0^{++}$ nonet mesons as four-quark states with the QCD sum rules
• Anti-charmed pentaquark ${\Theta }_c(3099)$ from QCD sum rules
• Chiral Doubling of Heavy-Light Hadrons and the Vector Manifestation of Hidden Local Symmetry
• Instanton interpolating current for $\sigma$--tetraquark
• Axial vector tetraquark with S=+2
• Semileptonic Decays of Heavy Tetraquarks
• Anti-charmed pentaquark from B decays

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