  Analytical explanation of the nuclear glory effect, which is similar to the
known optical (atmospheric) glory phenomenon, is presented. It is based on the
small phase space method for the multiple interaction processes probability
estimates and leads to the characteristic angular dependence of the production
cross section $d\sigma \sim 1/ \sqrt {\pi - \theta}$ in the vicinity of the
strictly backward direction, for any number of interactions $N\geq 3$, either
elastic or inelastic. Rigorous proof of this effect is given for the case of
the optimal kinematics, as well as for arbitrary polar scattering angles in the
case of the light particle rescattering, but the arguments in favor of the
backward azimuthal (axial) focusing are quite general and hold for any kind of
the multiple interaction processes. Such behaviour of the cross section near
the backward direction agrees qualitatively with available data. In the small
interval of final angles including the value $\theta =\pi$ the angular
dependence of the cumulative particle production cross section can have the
crater-like (or funnel-like) form. Further studies including, probably, certain
numerical calculations, are necessary to clear up this point.
