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Abstract The possibility is considered of obtaining a divergence free S-ruatrix. for the interactions of mesons with, nucleons along the lines of mass and charge renormalization, which Dyson has so successfully applied to quantum electrodynamics. It has been shown that this can be done for the vector interaction of neutral vector mesons. The procedure is here extended to the scalar interactions of scalar and pseudo-scalar mesons but proves to be quite inadequate to remove all the divergences in the other cases.
P. T. Matthews (Wed,) studied this question.