The $X(3872)\to J/\psi \pi \gamma$ and $X(3872)\to J/\psi \pi \pi \gamma$ decays

Abstract

We study the $\rho$ and $\omega$ meson contribution to the radiative decays $X(3872)\to J/\psi \pi \gamma$ and $X(3872)\to J/\psi \pi \pi \gamma$. The $X(3872)\to J/\psi \pi \gamma$ is dominated by the $\omega$ meson. As for the $X(3872)\to J/\psi \pi \pi \gamma$, the contributions of the cascade decays through the $\rho$ and $\omega$ mesons are strongly suppressed with respect to the diagrams which proceed either through the $\psi (2S)$ or the three body decay of $\rho$. The branching ratios of $X(3872)\to J/\psi \pi \gamma$ and $X(3872)\to J/\psi \pi \pi \gamma$ are $(8.10_{-2.88}^{+3.50})\times 10^{-3}$ and $(2.38\pm 1.06)\%$, which may be accessible by the BESIII and LHCb Collaborations. Especailly, the $X(3872)\to J/\psi \pi \gamma$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}\gamma$ decays can be employed to extract the couplings $g_{X\psi \omega }$ and $g_{X\psi \rho }$, which probe the isoscalar and isovector components of the X(3872) wave function respectively.

8 pages, 6 figures and 2 tables, accepted by Phys. Rev. D

References in corpus (17)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Exotics: Heavy Pentaquarks and Tetraquarks
• An updated review of the new hadron states
• Higher Charmonia and X,Y,Z states with Screened Potential
• Pion Interactions in the X(3872)
• Is the X(3872) Production Cross Section at Tevatron Compatible with a Hadron Molecule Interpretation?
• Is X(3872) {\sl Really} a Molecular State?
• Isospin breaking effects in the X(3872) resonance
• Line Shapes of the X(3872)
• Hadronic Decays of the X(3872) to chi_{cJ} in Effective Field Theory
• Isospin breaking, coupled-channel effects, and X(3872)
• Study of $e^{+}{e}^{-}\to \gamma \omega J/\psi$ and Observation of $X(3872)\to \omega J/\psi$
• The Effects of Charged Charm Mesons on the Line Shapes of the X(3872)
• Pionic transitions from X(3872) to chi_{cJ}
• A Phenomenological analysis on isospin-violating decay of $X(3872)$
• Revisit the isospin violating decays of $X(3872)$