Abstract
A Laplace representation of the high-energy elastic scattering amplitude is introduced, which seems convenient for describing the observed sharp decrease of the differential· cross sections in the forward direction. It is found that the imaginary part of the determining function of the Laplace transform has a Gaussian peak, with an exponential tail outside. This behavior of the determining function is discussed from a more general point of view, on the basis of another integral representation of the diffraction part of the scattering ampli tude. The momentum transfer dependence of the elastic scattering amplitude is also inves tigated.
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