η transitions between charmonia with meson loop contributions

Abstract

We study the $\eta$ transitions between $\psi (4040/4160)$ and $J/\psi$ by introducing charmed meson loops in an effective Lagrangian approach to enhance the decay amplitudes. The branching fractions $\mathcal{B}[\psi (4040)\to J/\psi \eta ]$ and $\mathcal{B}[\psi (4160)\to J/\psi \eta ]$ estimated in this paper can remarkably explain the experimental measurements of Belle and BESIII within a reasonable parameter range. The ${\eta }^{\prime }$ transition between $\psi (4160)$ and $J/\psi$ is also investigated, and the branching fraction is under the upper limit of CLEO, which can be tested by future experiments.

6 pages, 4 figures. More contents and discussions added. Typos corrected. Accepted by Phys. Rev. D

References in corpus (8)

• Measurements of the cross sections for $e^{+}{e}^{-}\to \mathrm{hadrons}$ at 3.650, 3.6648, 3.773 GeV and the branching fraction for $\psi (3770)\to \mathrm{non}-D\bar{D}$
• Measurements of the braching fractions for psi(3770)--> D0D0-bar,D+D-,DD-bar$ and the resonance parameters of psi(3770) and psi(2S)
• On the spectral functions of scalar mesons
• The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution
• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• Observation of $e^{+}{e}^{-}\to \eta J/\psi$ at center-of-mass energy $sqrts=4.009$ GeV
• QCD prediction for the non-$D\bar{D}$ annihilation decay of $\psi (3770)$
• Open charm effects in $e^{+}{e}^{-}\to J/\psi \eta$, $J/\psi {\pi }^0$ and $\varphi {\eta }_c$

Cited by in corpus (3)

• Observation of $e^{+}{e}^{-}\to {\chi }_{c0}\omega$ and missing higher charmonium $\psi (4S)$
• Explaining the anomalous ${\rm Y}(5S)\to {\chi }_{bJ}\omega$ decays through the hadronic loop effect
• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD