The line shape of the radiative open-charm decay of Y(4140) and Y(3930)

Abstract

In this work, we study the radiative open-charm decays $Y(4140)\to D_s^{\ast +}{D}_s^{-}\gamma$ and $Y(3930)\to D^{\ast +}{D}^{-}\gamma$ under the assignments of $D_s^{\ast }{\bar{D}}_s^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$ as molecular states for Y(4140) and Y(3930) respectively. Based on our numerical result, we propose the experimental measurement of the photon spectrum of $Y(4140)\to D_s^{\ast +}{D}_s^{-}\gamma ,D_s^{+}{D}_s^{\ast -}\gamma$ and $Y(3930)\to D^{\ast 0}{\bar{D}}^0\gamma ,D^0{\bar{D}}^{\ast 0}\gamma ,D^{\ast +}{D}^{-}\gamma ,D^{+}{D}^{\ast -}\gamma$ can further test the molecular assignment for Y(4140) and Y(3930).

Comments: 4 pages, 4 figures. More references and discussions added, typos corrected. Accepted by Phys. Rev. D