  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 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.
