Angular shift in scattering the spherical analogous of the Goos-Hanchen effect

A generalization of the time and spatial delay concept is obtained, for the scattering of transversaly incident beam restricted by a spherically symmetric scatterer using the methods of the complex angular momentum, valid for the angular momentum and angle conjufated variable pair. The result obtained is known validity domain, within the semiclassical approximation. Applied to the scttering problem in the high frequency limit by a transparent sphere with refractive index N<1, above the critical ineidence, the angular shift obtained is the spherical analogous of the Goos-Hanchen effect, When the s function is dominated by a isolated pole near the real axis, the angular shift associated gives, directly, the ''angular half-life'' introduced by Fuller in the framework of heavy ion reactions. Other applications will be discussed further. (L.C.)