We use the algebra of charges and their time derivatives, partially conserved axial-vector currents, and Regge high-energy behavior to derive sum rules for strong-interaction forward amplitudes. The saturation of all sum rules by a finite number of states is self-consistent and leads to relations among coupling constants and masses. Saturating all sum rules for π-ρ scattering by π, ω, and A₁, we predict m_A₁=1100 MeV, m_ω=m_ρ, Γ_A₁=120 MeV, g_ωρπ=21 BeV^-1, in good agreement with experiment.
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Gilman et al. (1967) studied this question.
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