Abstract
A known mechanism of description of spatial characteristics of elastic and quasi-elastic processes in terms of irreducible representations of the SO(2,1) group is modified in cone variables. It takes place in the region where transverse momentum is small in comparison with the total momentum. The transformation kernel from the transverse momentum space to the escape parameter space is a Shapiro function. In the mentioned case, this kernel is substantially simplified, assuming exponential form. In spite of some approximations, the physical interpretation of amplitude expansion coefficients and the geometrical interpretation of the escape parameter space are completely retained. This allows us to solve the unitarity equation in a simple analytical form, but we do not confine our solution to the region of large impact parameters which is typical of the eikonal approximation.
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