  Rainbow, glory and orbiting scattering are usually described by the
properties of the classical deflection function related to the real part of the
quantum mechanical scattering phase shift or by the diffractive pattern of the
quantum mechanical cross sections. Here we show that the case of orbiting
scattering of massless spin 0, 1 and 2 particles from Schwarzschild black holes
can be characterized by a sudden rise in $|R_l|^2$ at a critical angular
momentum $l_C$, which we show corresponds to the unstable circular orbits of
these particles. For the cases, $s =0, 2$, we attempt a new interpretation of
the Regge-Wheeler potential by identifying the quantum mechanical corrections
to the effective potential of massless particles. We probe into the black hole
scattering by using numerical and semi-analytical methods which give very good
agreements with the exact numerical results. The limitations of previously used
approximations as compared to the exact and semi-analytical results are
discussed.
