Abstract
A field theory model of Yukawa’s non-local theory for the mass spectrum of the elementary particles is built. Corresponding to every spin a wave equation is found whose ground state represents the mass of the stable particle of that spin and its excited states are interpreted as the elementary unstable particles. Allowing for the choice of suitable values for the arbitrary coupling constants, the theory appears to be in reasonable agreement with the general features of the mass spectrum and gives the mass 2247 me for λ+,0,- particles of spin 1/2. Particles of spin 0 and masses 1640 me, 2287 me and spin 1/2 and mass 1758 me are also found. In order to obtain the mass spectrum several approximations are found necessary and it is suggested that provided they are consistent the results might not be very sensitive to the model used for actual calculations.
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