Radiative transitions of charmonium states in a constituent quark model

Abstract

We study the electromagnetic (EM) transitions of the $nS$, $nP$ ($n\le 3$), and $nD$ ($n\le 2$) charmonium states with a constituent quark model. We obtain a reasonable description of the EM transitions of the well-established charmonium states $J/\psi$, $\psi (2S)$, ${\chi }_{cJ}(1P)$, $h_c(1P)$ and $\psi (3770)$. We find that the M2 transitions give notable corrections to some E1 dominant processes by interfering with the E1 transitions. Our predictions of EM decay properties for the higher charmonium states are also presented and compared with other model predictions. In particular, we discuss the EM decay properties of some $"XYZ"$ states, such as $X(3823)$, $X(3872)$, $X(3915)$, $X(3940)$ and $X(4350)$ as conventional charmonium states. Assuming $X(3872)$ as the ${\chi }_{c1}(2P)$ state, our predicted ratio $\Gamma [X(3872)\to \psi (2S)\gamma ]/\Gamma [X(3872)\to J/\psi \gamma ]\simeq 4.0$ is consistent with BaBar's measurement.

17 pages, 6 figures and five tables. EM multipole transitions are defined and text is improved

References in corpus (15)

• Heavy quarkonium: progress, puzzles, and opportunities
• Higher Charmonia and X,Y,Z states with Screened Potential
• Charmed baryon strong decays in a chiral quark model
• Strong decays of heavy-light mesons in a chiral quark model
• Where is the χ_{c0}(2P)?
• Could the $X(3915)$ and the $X(3930)$ Be the Same Tensor State?
• Strong decays of the newly observed $D(2550)$, $D(2600)$, $D(2750)$, and $D(2760)$
• Strong decays of higher excited heavy-light mesons in a chiral quark model
• Radiative E1 decays of X(3872)
• Hadronic loop contributions to $J/\psi$ and ${\psi }^{\prime }$ radiative decays into $\gamma {\eta }_c$ or $\gamma {\eta }_c^{\prime }$
• Charmonium states in QCD-inspired quark potential model using Gaussian expansion method
• Study of $\eta$ photoproduction on the proton in a chiral constituent quark approach via one-gluon-exchange model
• Measurement of $J/\psi \to \gamma {\eta }_{\mathrm{c}}$ decay rate and ${\eta }_{\mathrm{c}}$ parameters at KEDR
• Neutral pion photoproduction on the nucleon in a chiral quark model
• Measurement of $e^{+}{e}^{-}\to \gamma {\chi }_{cJ}$ via initial state radiation at Belle

Cited by in corpus (2)

• Charmonium spectrum and their electromagnetic transitions with higher multipole contributions
• Heavy meson spectroscopy under strong magnetic field