QCD sum rules for theX(3872)as a mixed molecule-charmonium state
Citations Over TimeTop 10% of 2009 papers
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 $[c\overline{q}][q\overline{c}]$ states with ${J}^{\mathrm{PC}}={1}^{++}$. We find that there is only a small range for the values of the mixing angle $\ensuremath{\theta}$ that can provide simultaneously good agreement with the experimental value of the mass and the decay width, and this range is ${5}^{0}\ensuremath{\le}\ensuremath{\theta}\ensuremath{\le}{13}^{0}$. In this range we get ${m}_{X}=(3.77\ifmmode\pm\else\textpm\fi{}0.18)\text{ }\text{ }\mathrm{GeV}$ and $\ensuremath{\Gamma}(X\ensuremath{\rightarrow}J/\ensuremath{\psi}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}})=(9.3\ifmmode\pm\else\textpm\fi{}6.9)\text{ }\text{ }\mathrm{MeV}$, 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 $\ensuremath{\sim}88%$ ${D}^{0}{D}^{*0}$ molecule and $\ensuremath{\sim}12%$ ${D}^{+}{D}^{*\ensuremath{-}}$ molecule.
Related Papers
- → Detecting the long-distance structure of the $$X(3872)$$ X ( 3872 )(2014)52 cited
- → Is the Exotic Hadron X(3872) a D0 D*0 Molecule: Precision Determination of the Binding Energy of X(3872)(2012)1 cited
- → Measurement of the Mass and the Quantum Numbers J$^{PC}$ of the X(3872) State(2008)1 cited
- Susquehanna Chorale Spring Concert "Roots and Wings"(2017)