QCD Sum Rules for the X(3872) as a mixed molecule-charmoniun state

Abstract

We use QCD sum rules to test the nature of the meson X(3872), assumed to be a mixture between charmonium and exotic molecular [c\bar{q}][q\bar{c}] states with J^{PC}=1^{++}. We find that there is only a small range for the values of the mixing angle, θ, that can provide simultaneously good agreement with the experimental value of the mass and the decay width, and this range is θbetween 5 and 13 degrees. In this range we get m_X=(3.77 \pm 0.18) GeV and Γ(X to J/ψπ^+ π^-)=(9.3 \pm 6.9) MeV, which are compatible, within the errors, with the experimental values. We, therefore, conclude that the X(3872) is approximately 97% a charmonium state with 3% admixture of \sim 88% D^0D^{*0} molecule and \sim 12% D^+D^{*-} molecule.

9 pages, 7 figures; references added, revised version accepted for publication in Phys. Rev. D

References in corpus (8)

• Higher Charmonia and X,Y,Z states with Screened Potential
• Can the X(3872) be a 1^{++} four-quark state?
• Is X(3872) {\sl Really} a Molecular State?
• Estimate for the X(3872) to gamma J/psi decay width
• Isospin breaking effects in the X(3872) resonance
• $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}{\pi }^0$ decay widths from QCD sum rules
• Mixings of 4-quark components in light non-singlet scalar mesons in QCD sum rules
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