Testing the hypothesis of vector X17 boson by D meson, Charmonium, and $\varphi$ meson decays

Abstract

The recent ATOMKI experiments provided evidence pointing towards the existence of an X17 boson in the anomalous nuclear transitions of Beryllium-8, Helium-4, and Carbon-12. In this work, we consider X17 boson contributions to the previously measured $D$ meson decays which include $D_s^{\ast +}\to D_s^{+}{e}^{+}{e}^{-}$, $D_s^{\ast +}\to D_s^{+}\gamma$, $D^{\ast 0}\to D^0{e}^{+}{e}^{-}$, and $D^{\ast 0}\to D^0\gamma$, as well as the measured decays of $\psi (2S)\to {\eta }_c{e}^{+}{e}^{-}$, $\psi (2S)\to {\eta }_c\gamma$, $\varphi \to \eta e^{+}{e}^{-}$, and $\varphi \to \eta \gamma$. Using the data of the above meson decays, we perform a fitting to the coupling parameters ${\epsilon }_u,{\epsilon }_c$, and ${\epsilon }_s$ by treating the couplings ${\epsilon }_u$ and ${\epsilon }_c$ as independent from each other rather than assuming the generation universality ${\epsilon }_u={\epsilon }_c$. It is found that the above fitting renders $|{\epsilon }_c|=7.6\times 10^{-3}$, $|{\epsilon }_s|=2.4\times 10^{-3}$ and a huge magnitude for ${\epsilon }_u$, which is in serious tension with $\left|{\epsilon }_u\right|$ determined from ATOMKI measurements. Using our fitted range for ${\epsilon }_c$ and the range for ${\epsilon }_d$ from ATOMKI measurements, we predict the range for $D^{\ast +}\to D^{+}{e}^{+}{e}^{-}$ decay rate.

Comments: 25 pages, 10 figures