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.

arXiv comment6 pages, 3 figures; revised versions to appear on Phys. Lett. B

References in corpus (40)

• Weak Decays Beyond Leading Logarithms
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• The New Heavy Mesons: A Status Report
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
• Study of the B- --> J/psi K- pi+ pi- Decay and Measurement of the B- --> X(3872) K- Branching Fraction
• Short Range Structure in the X(3872)
• New Charmonium States in QCD Sum Rules: a Concise Review
• The D*0 D0bar threshold resonance
• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• Charmonium Options for the X(3872)
• Can the X(3872) be a 1^{++} four-quark state?
• The X(3872) boson: Molecule or charmonium
• Analysis of the Quantum Numbers $J^{PC}$ of the X(3872) Particle
• Is the X(3872) Production Cross Section at Tevatron Compatible with a Hadron Molecule Interpretation?
• Evidence for the decay X(3872) --> J/psi omega
• Is X(3872) {\sl Really} a Molecular State?
• Diagnostic Decays of the X(3872)
• Evidence for X(3872) --> psi(2S) gamma in B+/- --> X(3872) K+/- decays, and a study of B --> ccbar gamma K
• Heavy quarkonia mass-splittings in QCD: test of the $1/m$-expansion and estimates of $<{\alpha }_s{G}^2>$ and ${\alpha }_s$
• Estimate for the X(3872) to gamma J/psi decay width
• QCD tests from $e^+e^- \rar I=1~$ hadrons data and implication on the value of ${\alpha }_s$ from $\tau$-decays
• Isospin breaking effects in the X(3872) resonance
• Measurement of the Dipion Mass Spectrum in X(3872) -> J/Psi Pi+ Pi- Decays
• Search for B+ --> X(3872) K+, X(3872) --> J/psi gamma
• QCD Sum Rules for the X(3872) as a mixed molecule-charmoniun state
• V-A hadronic tau decays : a laboratory for the QCD vacuum
• Strange-quark mass from combined e+e- and tau-decay data:test of the isospin symmetry and implications on epsilon'/εand m_{u,d}
• Exclusive Production of the X(3872) in B Meson Decay
• Factorization in the Production and Decay of the X(3872)
• $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}{\pi }^0$ decay widths from QCD sum rules
• A Precision Determination of the D^0 Mass
• The 2^-+ assignment for the X(3872)
• Mixings of 4-quark components in light non-singlet scalar mesons in QCD sum rules
• X(3872) as a 1D2 charmonium state
• Radiative decay of the X(3872) as a mixed molecule-charmonium state in QCD Sum Rules
• The B_{s0} meson and the B_{s0}B K coupling from QCD sum rules
• omega-rho^0 mixing as a possible origin of the hypothetical isospin non-conservation in the X(3872) --> pi^+ pi^- J/psi decay

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• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• Quark structure of the $X(3872)$ and ${\chi }_b(3P)$ resonances
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• X(3872) as a hybrid state of the charmonium and the hadronic molecule
• Measurements of the absolute branching fractions of $B^{+}\to X_{c\bar{c}}{K}^{+}$ and $B^{+}\to {\bar{D}}^{(\ast )0}{\pi }^{+}$ at Belle
• 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
• Resonance $Y(4660)$ as a vector tetraquark and its strong decay channels
• Y(4260) as a mixed charmonium-tetraquark state
• Open charm-bottom axial-vector tetraquarks and their properties
• Understanding Y(4274) and X(4320) in the $J/\psi \varphi$ invariant mass spectrum
• X(3872) and Its Heavy Quark Spin Symmetry Partners in QCD Sum Rules
• Are the XYZ states unconventional states or conventional states with unconventional properties?
• Y(3940) as a Mixed Charmonium-Molecule State
• Search for $XYZ$ states in ${\Lambda }_b$ decays at the LHCb
• On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)