Asymptotic equality of particle-antiparticle differential cross sections and of spacelike and timelike form factors

Abstract
A direct proof of the average asymptotic equality of particle and antiparticle differential cross sections and also of line-reversed processes is given without any restriction on the nature of oscillations. Using the same method, the average asymptotic equality of spacelike and timelike form factors is shown under some assumptions. As a consequence of the results proved, it is shown in general that if the ratios of the real part to the imaginary part of the forward amplitudes are bounded, the particle-antiparticle total cross sections must have asymptotically the same energy variation on the average.