Two methods of constructing a potential, in the form of a series, from a given S phase shift are described.The convergence of one of these is analyzed. Examples show that it can converge comfortably even for potentials which are so strong as to have a bound state. The ambiguity of the potential, connected with the existence of bound states, is discussed in an appendix.
The angular and momentum distribution of the recoil nucleus in pair production by a photon is calculated covariantly by a method which utilizes the unitarity of the 5 matrix. The results are in disagreement with a recent experiment, particularly for small angles and high momentum transfers. The exact total cross section for pair creation is also given.
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