Understanding the $e^+e^-\to D^{(*)+}D^{(*)-}$ processes observed by Belle
/ Abstract
We calculate the production cross sections for D ∗ + D ∗− , D + D ∗− and D + D − in e + e − annihilation through one virtual photon in the framework of perturbative QCD with constituent quarks. The calculated cross sections for D ∗ + D ∗− and D + D ∗− production are roughly in agreement with the recent Belle data. The helicity decomposition for D ∗ meson production is also calculated. The fraction of the D ∗± L D ∗∓ T final state in e + e − → D ∗ + D ∗− process is found to be 65%. The fraction of DD ∗ T production is 100% and DD ∗ L is forbidden in e + e − annihilation through one virtual photon. We further consider e + e − annihilation through two virtual photons, and then find the fraction of DD ∗ T in e + e − → DD ∗ process to be about 91%.