Abstract
Using analyticity of the virtual Compton scattering amplitude in Q 2 sum rules are derived relating meson-nucleon total cross-sections with certain integrals over the large Q 2 and x≅0 part of nucleon structure functions. Of preliminary quantitative analysis of the sum rules for both singlet and non-singlet amplitudes is presented. For the singlet amplitude the sum rules relate, in particular, the rise of sea-quark distributions implied by perturbative QCD and the increase of total meson-proton cross sections with energy. Quantitatively, however, nonunitary leading log Q 2 results for the former give a too rapid increase of the latter.
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