The continuum and interference effect in $e^{+}{e}^{-}\to D^0{\bar{D}}^0,D^{+}{D}^{-}$ processes

Abstract

In the $e^{+}{e}^{-}$ annihilation processes $e^{+}{e}^{-}\to D^0{\bar{D}}^0,D^{+}{D}^{-}$ near or above the threshold of $D\bar{D}$, there are not only the resonance contribution $e^{+}{e}^{-}\to \psi (3770)\to D^0{\bar{D}}^0,D^{+}{D}^{-}$, but also the continuum contribution through virtual photon directly $e^{+}{e}^{-}\to {\gamma }^{\ast }\to D^0{\bar{D}}^0,D^{+}{D}^{-}$. The amplitudes through virtual photon directly and through resonance can interfere seriously. We consider the continuum and interference effect in the $D\bar{D}$ production process in $e^{+}{e}^{-}$ annihilation. We find that the effect is significant near and above the threshold of the $D\bar{D}$ mesons.

4 pages, 5 figures, some discussion and one figure added