Abstract
In analogy to the real Compton process, a one-pion exchange diagram for pair production is discussed. In this case, a virtual timelike photon corresponds to the final photon of the Compton process. Therefore there are contributions from the production of virtual ω- and ρ-mesons. Consequently, the matrix element shows a resonance behaviour, if the energy of the produced pair in its barycentric system equals the mass of a resonant meson. A total cross section formula and two formulas for differential cross sections are given. One of the latter cross sections contains as variables the pair energy and the invariant square of the momentum transfer. It is compared with an analogous cross section for the Bethe-Heitler matrix element in order to examine, whether the contributions of these two matrix elements can be separated. Both these formulas are also programmed and tabulated. If we restrict ourselves to small momentum transfers, it turns out that only the peak of the ω-resonance exceeds the Bethe-Heitler background, provided that the energy is low enough. At higher energies this peak vanishes, too.
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