Meson Production by Electrons

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Abstract
The differential cross section for the production of mesons by electrons has been calculated to first order in the fine structure constant as a function of the meson angle and energy. It is possible to split the transition probability into two terms, one of which is proportional to the photomeson differential cross section (the Williams-Weizsäcker approximation), the other containing longitudinal current and other corrections. Experimental cross sections were used in the first term and the correction term was calculated using the Chew-Low theory. The cross section was calculated on the Illiac (the electronic digital computer at the University of Illinois) for seven electron energies from 350 Mev to 560 Mev, for meson energies at intervals of 15.5 Mev, and for meson angles of 45°, 90°, and 180° in the laboratory system.