The major purpose of this paper is a description of coherent p photoproduction which takes the rather substantial width of the p into proper account. The optical-model analysis due to Drell and Trefil is extended to include p decay inside the nucleus, as wcll as the subsequent absorption of the decay pio~ls. The eikonal method is used throughout, and is found to yield compact analytic expressions for the production amplitude. The decay effects produce an appreciable shift of the p peak towards lower mass for production in heavy nuclei and at the lower photon energies of current interest (2.7-4.5 GeV). On the whole, the differential cross sections are not significantly affected in either shapc or magnitude by the effects arising from p decay. In particular, the decay corrections do not appreciably influence the determination via vector dominance of the P-photon coupling constant. . Stairs, and J. Tenenbaum, Phys. Rev. Letters 15, 210 11 96.9 \ ----J .2 Aachen-Berlin-Bonn-Hamburg-Heidelberg-Munchen Collaboration, Nuovo Cimento 41A, 270 (1966).
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