Role of the short-distance interaction in e plus e - -* γX(3872)

In this study, we analyze the cross-section data from the e+e- -* gamma J=psi omega process to explore both shortdistance and long-distance interactions for the radiative transition Y(4200) -* gamma X(3872). We investigate the short-distance effects through the E1 transition among the cc<overline> components, and the long-distance effects via hadronic loop diagrams. Our numerical analysis reveals that short-distance interactions play a significantly larger role in the radiative transition than that of the long-distance interactions. This finding underscores the importance of the compact cc<overline> components in both the initial and the final states for accurately understanding the cross-section sigma[e+e- -* gamma J=psi omega]. Furthermore, with the help of relative branch ratio R we estimate the '[Y(4200) -* gamma X(3872)] implied in the experimental study. Finally, we also discuss the possible existence of the psi (4040) signal within the cross-section data.