Constrain the χ_cJ→ D^(*)D^(*) effective couplings via the X(3872)→ π⁰χ_cJ decays

2025/07/22 by Zhao-Sai Jia, Gang Li, Jia, Zhao-Sai +3
Physics and Astronomy · Medicine · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Medical Imaging Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2507.16618

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 χ_cJ→ D^(∗)D^(∗) are building blocks of the amplitudes for the pionic and radiative transitions of the charmonium-like states to the χ_cJ and h_c states, e.g., X(3872)→ π⁰χ_cJ, ππχ_cJ, γχ_cJ and Y(4260)→ π⁰ h_c, ηh_c. These couplings can not be extracted from the partial decay widths of the χ_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 χ_cJ→ D^(∗)D^(∗) couplings. Our results show that the VMD model may over estimate the χ_cJ→ D^(∗)D^(∗) couplings considering the X(3872) as a DD^* 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 χ_cJ and h_c.

Citations

• Hidden charmed decays of X(3872) within the D D^* molecular framework
• Precise determination of the properties of X(3872) and of its isovector partner W_c1
• A short review on the compositeness of the X(3872)
• Pionic transitions of the spin-2 partner of X(3872) to χ_cJ
• Three ways to decipher the nature of exotic hadrons: multiplets, three-body hadronic molecules, and correlation functions
• Hadronic molecules
• Isospin Violation in X(3872): Explanation From a New Tetraquark Model

Related

• Hadronic Molecules and χ_cJ(2P) Coupled States
• Hidden charmed decays of X(3872) within the D D^* molecular framework
• Towards nature of the X(3872) resonance
• Uncovering the mystery of X(3872) with the coupled-channel dynamics
• Hidden charmonium decays of spin-2 partner of X(3872)