Structure and Mass Spectrum of Elementary Particles. II. Oscillator Model

xp Xoo„(x")P(x"')dx"dx"'. (10} If we compare these equations with the corresponding equations (19) of Mfffler and Kristensen' in the theory of nonlocal interaction between a local scalar (or pseudoscalar) field and a local spinor field, we notice that the internal eigenfunction x„(r) plays the role of a convergence factor. There is, however, an essential difference between their equations and ours. Namely, in our theory, we are obliged to take into account simultaneously all the particles with different masses m which were derived from an eigenvalue problem. Furthermore, the form function for each of these particles is uniquely determined by the same eigenvalue problem. In the following letter, the above general considerations will be illustrated and further details will be examined.