Study of the electromagnetic transitions $J/\psi \to P{l}^{+}{l}^{-}$ and probe dark photon

Abstract

We study the electromagnetic Dalitz decay modes of $J/\psi \to P{l}^{+}{l}^{-}$ ($P={\pi }^0$, $\eta$ or ${\eta }^{\prime }$). In these decays, the lepton pairs are formed by internal conversion of an intermediate virtual photon with invariant mass $m_{l^{+}{l}^{-}}$. Study of the effective-mass spectrum of the $l^{+}{l}^{-}$ will shed light on the dynamic transition form factor $F_{J/\psi P}(q^2)$ ($q^2=m_{l^{+}{l}^{-}}^2$), which characterizes the electromagnetic structure arising at the vertex of the transition $J/\psi$ to pseudoscalars. We also discuss the direct productions of a GeV scale vector $U$ boson in these processes $J/\psi \to PU$ ($U\to l^{+}{l}^{-}$). It is responsible for mediating a new $U(1{)}_d$ interaction, as recently exploited in the context of weakly interacting massive particle dark matter. In this paper, we firstly use the usual pole approximation for the form factor to estimate the decay rate of $J/\psi \to P{l}^{+}{l}^{-}$ in the standard model. Then the reach of searching for the dark photon is estimated. We suggest that these Dalitz decays can be used to search for the light $U$ boson in the BESIII experiment with a huge $J/\psi$ data set.

6 pages, 3 figure, add two more figures, more discussions

References in corpus (10)

• A Theory of Dark Matter
• U-boson production in e+e- annihilations, psi and Upsilon decays, and Light Dark Matter
• Search for a vector gauge boson in phi meson decays with the KLOE detector
• Study of the electromagnetic transition form-factors in η-> μ^+μ^-γand ω-> μ^+μ^-π^0 decays with NA60
• Constraints on Light Dark Matter and U bosons, from psi, Upsilon, K+, pi0, eta and eta' decays
• Electromagnetic transition form factors of light vector mesons
• Rare decay pi0 -> e+e-: theory confronts KTeV data
• Detecting light leptophilic gauge boson at BESIII detector
• Probing Dark force at BES-III/BEPCII
• U-boson at BESIII

Cited by in corpus (23)

• Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes
• Observation of Electromagnetic Dalitz decays J/ψ\to P e^+e^-
• Measurement of $\mathcal{B}(J/\psi \to {\eta }^{\prime }{e}^{+}{e}^{-}$) and search for a dark photon
• Study of $J/\psi$ and $\psi (3686)$ decays to ${\pi }^{+}{\pi }^{-}{\eta }^{\prime }$
• Analysis of the J/psi --> pi^0 gamma^* transition form factor
• Search for new light vector boson using $J/\Psi$ at BESIII and Belle II
• Study of the electromagnetic Dalitz decays $\psi ({\rm Y})\to {\eta }_c({\eta }_b)l^{+}{l}^{-}$
• Observation of $\psi (3686)\to {\eta }^{\prime }{e}^{+}{e}^{-}$
• Observation of $J/\psi$ Electromagnetic Dalitz Decays to $X(1835)$, $X(2120)$ and $X(2370)$
• Note on invisible decays of light mesons
• Effective-Lagrangian study of ${\psi }^{\prime }(J/\psi )\to VP$ and the insights into $\rho \pi$ puzzle
• Study of electromagnetic Dalitz decays ${\chi }_{cJ}\to {\mu }^{+}{\mu }^{-}J/\psi$
• QCD analysis of electromagnetic Dalitz decays $J/\psi \to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• Study of the dilepton electromagnetic decays of ${\chi }_{cJ}(1P)$
• Study of the electromagnetic Dalitz decay $J/\psi \to e^{+}{e}^{-}{\pi }^0$
• Probing the ATOMKI X17 vector boson using Dalitz decays $V\to P{e}^{+}{e}^{-}$
• Method for measuring the charge radii of charged hyperons from the time-like region
• Electromagnetic Dalitz Decays of $D_{(s)}^{\ast }$ Mesons
• Nature of $X(2370)$
• Search for the FCNC charmonium decay $J/\psi \to D^0{\mu }^{+}{\mu }^{-}+\text{c.c.}$
• QCD analysis of the $P$-wave charmonium electromagnetic Dalitz decays $h_c\to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• Dispersive analysis of the $J/\psi \to {\pi }^0{\gamma }^{\ast }$ transition form factor with $\rho$-$\omega$ mixing effects
• Radiative and Dalitz decays of ${\rm Y}(1S)$ in the light of the ATOMKI X17 anomaly