Experimental data on high-energy jJ-jJ, P-f>, 1:: r -/ ' and K! -j> elastic: scatterings for small momentum transfers are analysed un(ler the assumptions that the spin effect is negligilJie at high energies ancl that the imaginary part of the scattering amplitude predominates over the real one for low momentum transfers. Four parameters, all of which have definite physical nwanings, arc introduced and determined m1merically from experimentally av:1ilnlllc quant1tws. 11 is found that protons arc more transparent for a pion or a kaon than for In any of these processes they exhibit a sharp exponential decrease with increasing ltl m the forward direction. This remarkable forward peak can be interpreted as due to pure imaginary shadow scattering which is caused by large absorption into many-particle inelastic channels.By assuming a large multiplicity of and only weak correlations among secondary particles produced in inelastic collisions, Van Hove 2 > concluded that elastic scattering amplitudes should asymptotically become pure imaginary with the inelastic overlap function of n c;aussian form. Cottingham and Peierls 3 > expressed this Van I-Iove model in their impact parameter representation and showed that it gave a good description of n -jJ elastic scattering at 17.0 BeV /c. They also showed that the addition of a short-range real part to this model was necessary to give a qualitative description of j)-jJ elastic scattering at incident momenta between 12 and 20 F~e V /c. The addition of such a real part serves to make larger the ratio of the elastic to the total cross sections as well as the differential cross sections at large scattering angles. It is to be added here that the same impact parameter representation as theirs was independently intrnducccl by Adachi ;:mel l\otani, 4 > who investigated its mathematical aspects in detaiL