Constrain the ${\chi }_{cJ}\to D^{(\ast )}{\bar{D}}^{(\ast )}$ effective couplings via the $X(3872)\to {\pi }^0{\chi }_{cJ}$ decays

Abstract

The hidden-charm decays serve as irreplaceable platforms for probing the structures of charmonium-like states, such as $X(3872)$, $Y(4260)$, $Z_c(3900)$, and their heavy-quark-symmetry partners. In the hadronic molecular scenario, these hidden-charm decays are denominated by intermediate meson loops (IMLs), and the couplings of ${\chi }_{cJ}\to D^{(\ast )}{\bar{D}}^{(\ast )}$ are building blocks of the amplitudes for the pionic and radiative transitions of the charmonium-like states to the ${\chi }_{cJ}$ and $h_c$ states, e.g., $X(3872)\to {\pi }^0{\chi }_{cJ},\pi \pi {\chi }_{cJ},\gamma {\chi }_{cJ}$ and $Y(4260)\to {\pi }^0{h}_c,\eta h_c$. These couplings can not be extracted from the partial decay widths of the ${\chi }_{cJ}$ directly and only have estimated values from the vector meson dominance (VMD) model. Utilizing the recent precise determination of the pole position and the isospin breaking properties of the $X(3872)$, we give an estimation on the upper bounds of the absolute values of the ${\chi }_{cJ}\to D^{(\ast )}{\bar{D}}^{(\ast )}$ couplings. Our results show that the VMD model may over estimate the ${\chi }_{cJ}\to D^{(\ast )}{\bar{D}}^{(\ast )}$ couplings considering the $X(3872)$ as a $D{\bar{D}}^{\ast }$ hadronic molecule with a binding energy about tens of keV. These upper limits can be used and tested in other hidden-charm transitions of the charmonium-like states to the ${\chi }_{cJ}$ and $h_c$.

arXiv comment12 pages, 3 figures. Comments are welcome

References in corpus (51)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Hadronic molecules
• The $XYZ$ states: experimental and theoretical status and perspectives
• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Determination of the X(3872) meson quantum numbers
• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• Multiquark States
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• The X(3872) boson: Molecule or charmonium
• Evidence for the decay X(3872) --> J/psi omega
• Bounds on the width, mass difference and other properties of X(3872) --> pi+pi-J/psi decays
• Nonfactorizable contributions in B decays to charmonium: the case of $B^{-}\to K^{-}{h}_c$
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
• Isospin breaking effects in the X(3872) resonance
• Effect of charmed meson loops on charmonium transitions
• Study of the lineshape of the ${\chi }_{c1}(3872)$ state
• $B^{-}\to K^{-}{\chi }_{c0}$ decay from charmed meson rescattering
• Quantum numbers of the $X(3872)$ state and orbital angular momentum in its ${\rho }^{0}J\psi$ decay
• Hadronic Decays of the X(3872) to chi_{cJ} in Effective Field Theory
• Search for a Charged Partner of the X(3872) in the B Meson Decay B --> X- K, X- --> J/psi pi- pi0
• Isospin breaking, coupled-channel effects, and X(3872)
• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• Study of $e^{+}{e}^{-}\to \gamma \omega J/\psi$ and Observation of $X(3872)\to \omega J/\psi$
• Decay widths of the spin-2 partners of the X(3872)
• X(3872) in the molecular model
• The $X(3872)\to J/\psi \gamma$ decay in the $D{\bar{D}}^{\ast }$ molecular picture
• J/psi couplings to charmed resonances and to pi
• Pionic transitions from X(3872) to chi_{cJ}
• Study of the ${\psi }_2(3823)$ and ${\chi }_{c1}(3872)$ states in $B^{+}\to \left(J\psi {\pi }^{+}{\pi }^{-}\right)K^{+}$ decays
• Search for single top production via FCNC at LEP at sqrt(s) = 189-208 GeV
• Observation of the decay $X(3872)\to {\pi }^0{\chi }_{c1}(1P)$
• A Phenomenological analysis on isospin-violating decay of $X(3872)$
• Scalar Quarkonia at Finite Temperature
• Hadronic Loops versus Factorization in EFT calculations of $X(3872)\to {\chi }_{cJ}{\pi }^0$
• Investigating possible decay modes of $Y(4260)$ under the $D_1(2420)\bar{D}+c.c$ molecular state ansatz
• Review of the QCD sum rules for exotic states
• Revisit the isospin violating decays of $X(3872)$
• Production of exotic hadrons in $pp$ and nuclear collisions
• Observation of sizeable $\omega$ contribution to ${\chi }_{c1}(3872)\to {\pi }^{+}{\pi }^{-}J/\psi$ decays
• omega-rho^0 mixing as a possible origin of the hypothetical isospin non-conservation in the X(3872) --> pi^+ pi^- J/psi decay
• Decipher the width of the $X(3872)$ via the QCD sum rules
• Predicting isovector charmonium-like states from X(3872) properties
• Decays of $X(3872)$ to ${\chi }_{cJ}{\pi }^0$ and $J/\psi {\pi }^{+}{\pi }^{-}$
• Search for $X(3872)$ and $X(3915)$ decay into ${\chi }_{c1}{\pi }^0$ in $B$ decays at Belle
• Decay $X(3872)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and $S$-wave $D^0{\bar{D}}^0\to {\pi }^{+}{\pi }^{-}$ scattering length
• Dispersive analysis of the isospin breaking in the $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^0{\pi }^{-}$ decays
• Electro-weak production of pseudovector C-even heavy quarkonia in electron-positron collisions on Belle II and BES III
• Search for the decay ${\chi }_{c1}(3872)\to {\pi }^{+}{\pi }^{-}{\chi }_{c1}$