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We calculate the production cross sections for $D^{*+}D^{*-}$, $D^+D^{*-}$and $D^+D^-$ in $e^+e^-$ annihilation through one virtual photon in theframework of perturbative QCD with constituent quarks. The calculated crosssections for $D^{*+}D^{*-}$ and $D^+D^{*-}$ production are roughly in agreementwith the recent Belle data. The helicity decomposition for $D^{*}$ mesonproduction is also calculated. The fraction of the $D^{*\pm}_LD^{*\mp}_T$ finalstate in $e^+e^-\to D^{*+}D^{*-}$ process is found to be 65%. The fraction of$DD^*_T$ production is 100% and $DD^*_L$ is forbidden in $e^+e^-$ annihilationthrough one virtual photon. We further consider $e^+e^-$ annihilation throughtwo virtual photons, and then find the fraction of $DD^{*}_T$ in $e^+e^-\toDD^{*}$ process to be about 91%.Comment: 8 pages, 2 figure

Understanding thee+e−→D(*) +D(*) −processes observed by Belle

Understanding thee⁺e⁻→D^{() +}D^{() −}processes observed by Belle