Abstract
Using current algebra and the hypothesis of partially conserved axial vector current, a sum rule has been, obtained for the real part of any elastic or inelastic amplitude. The derivation of the sum rule is noncovariant in the sense that the sum rule is obtained in an infinite momentum frame and it is similar in spirit to one of Adler's noncovariant derivations of the sum rule for axial vector coupling constant. Applying the sum rule, we evaluate the ratio of the real part to the imaginary part of the π±p and K±p forward scattering amplitudes at high energies. This ratio is obtained in terms of the renormalized axial vector coupling constant, the appropriate total cross-section and a strong coupling constant, and the results are compared with experiment.
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