QCD Sum Rules for the production of the X(3872) as a mixed molecule-charmonium state in B meson decay

Abstract

We use QCD sum rules to calculate the branching ratio for the production of the meson X(3872) in the decay $B\to X(3872)K$, assumed to be a mixture between charmonium and exotic molecular $[c\bar{q}][q\bar{c}]$ states with $J^{PC}=1^{++}$. We find that in a small range for the values of the mixing angle, $5^{\circ }\le \theta \le 13^{\circ }$, we get the branching ratio $\mathcal{B}(B\to XK)=(1.00\pm 0.68)\times 10^{-5}$, which is in agreement with the experimental upper limit. This result is compatible with the analysis of the mass and decay width of the mode $J/\psi (n\pi )$ and the radiative decay mode $J/\psi \gamma$ performed in the same approach.

6 pages, 3 figures; revised versions to appear on Phys. Lett. B

References in corpus (10)

• Can the X(3872) be a 1^{++} four-quark state?
• Is the X(3872) Production Cross Section at Tevatron Compatible with a Hadron Molecule Interpretation?
• 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
• QCD Sum Rules for the X(3872) as a mixed molecule-charmoniun state
• $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ 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
• Radiative decay of the X(3872) as a mixed molecule-charmonium state in QCD Sum Rules
• X(3872) as a 1D2 charmonium state

Cited by in corpus (2)

• Productions of $X(3872)$, $Z_c(3900)$, $X_2(4013)$, and $Z_c(4020)$ in $B_{(s)}$ decays offer strong clues on their molecular nature
• On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)