Journal of Physics A: Mathematical and General, vol.38, no.3, pp.759-772, 2005 (SCI-Expanded)
In the framework of QED, scalar pair production by a single linearly polarized high-energy photon in the presence of an external Aharonov-Bohm potential is investigated. The exact scattering solutions of the Klein-Gordon equation in a cylindrically symmetric field are constructed and used to write the first-order transition amplitude. The matrix elements and the corresponding differential scattering cross section are calculated. The pair production at both the nonrelativistic and the ultrarelativistic limits is discussed.