Unitarity and the Mandelstam Representation. II. Large-Angular-Momentum Partial-Wave Amplitudes

Abstract

The general assumption that the scattering amplitude satisfies an $n$-times-subtracted Mandelstam representation is shown to lead to precise predictions for large-angular-momentum partial-wave amplitudes. The real parts of the amplitudes are determined in the elastic and part of the inelastic regions. The imaginary parts are determined throughout the physical region. The calculations utilize the Legendre expansion of the crossed-channel absorptive parts, a rigorous expansion of the double spectral function in the neighborhood of its boundary, the elastic unitarity condition, and crossing symmetry.