; Oka, Makoto] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan
; [Liu, Yan-Rui] Inst High Energy Phys, Beijing 100049, Peoples R China
; [Takizawa, Makoto] Showa Pharmaceut Univ, Tokyo 1948543, Japan
; [Liu, Xiang] Lanzhou Univ, Sch Phys Sci & Technol, Lanzhou 730000, Peoples R China
; [Deng, Wei-Zhen
; Zhu, Shi-Lin] Peking Univ, Dept Phys, Beijing 100871, Peoples R China
S- and P-wave D (D) over bar scatterings are studied in a meson exchange model with the coupling constants obtained in the heavy quark effective theory. With the extracted P-wave phase shifts and the separable potential approximation, we include the D (D) over bar rescattering effect and investigate the production process e(+)e(-) -> D (D) over bar. We find that it is difficult to explain the anomalous line shape observed by the BES Collaboration with this mechanism. Combining our model calculation and the experimental measurement, we estimate the upper limit of the nearly universal cutoff parameter to be around 2 GeV. With this number, the upper limits of the binding energies of the S-wave D (D) over bar and B (B) over bar bound states are obtained. Assuming that the S-wave and P-wave interactions rely on the same cutoff, our study provides a way of extracting the information about S-wave molecular bound states from the P-wave meson pair production.