DISPERSION RELATIONS AND ANALYSIS OF THE ENERGY DEPENDENCE OF CROSS SECTIONS NEAR THRESHOLDS OF NEW REACTIONS
The application of dispersion relations to the analysis of the energy dependence of scattering (and reaction) amplitudes near thresholds of new reactions is discussed. General expressions are obtained which characterize the nonmonotonic behavior of forward-scattering amplitudes as functions of the energy. The energy dependence of one of the amplitudes for elastic scattering of γ-ray quanta by deuterons is examined near the threshold for photo-disintegration of the deuteron.