Nonresonant maxima for many-boson processes

We examine theoretically the dependence of the probabilities of elastic and inelastic processes on the intensity of boson beams incident on a "target". As the intensity increases, the probabilities initially grow (generally not according to a linear law), reach a maximum, and then begin to die away. The maxima discussed in this paper are of a purely kinematical origin: they are due to the boson statistics and not to possible resonant properties of the target. Estimates are made for the optimum case, where all the boson wave packets are identical and interference effects are therefore most noticeable.