A general theory describing particles of unit spin and arbitrary magnetic moment is developed and applied to the motion of such particles in a Coulomb field. In the particular case of magnetic moment unity (Proca theory), the exact equations for the radial components of the wave functions possess regular solutions only for those states (j=l/0 and j=0, /=1) in which the orbital angular momentum l is a constant of the motion. For particles possessing a magnetic moment of two mesotron magnetons, the radial equations are free of singularities for all states but two: j = 1, l = 0 and j =0, L = 1. The cross section for a fractional energy transfer to electrons by energetic mesotrons is calculated for the various simple possibilities of mesotron spin 0. (0,-"1)and magnetic moment p (arbitrary except for zero spin), and it is shown that only for 0. =-, ', p&1 (in particular, p=0) and 0 =1, p, =1 is the cross section of the correct magnitude and form (i.e., essentially independent of the mesotron energy) to account for observed burst phenomena at energies greater than 2X10" ev. Criteria for the validity of these formulae indicate that the region of applicability for the theory tT = 1, p/1 is more limited than that for o-= 1, p = 1 (Proca).
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