Abstract
The high energy, small angle Glauber-Molière scattering amplitude of spherical symmetric potentials, which are expandable in ascending even powers of r and singular in coordinate space, is calculated. The singularities are poles of order n(= 1,2,⋯) off the real axis. As in the nonsingular case the amplitude decreases like exp (− qb) as a function of the momentum transfer q. However, the dependenc of b on q is quite different. Unlike in the nonsingular case it reaches a finite value at infinite energy. Also, in contradistinction to the nonsingular case, the first Born approximation under certain conditions holds in the whole range of validity of the scattering angles.
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