Аннотация:
We consider an inelastic scattering of protons within the simplest real scalar model φ3 (phi-cubed).
Although this model has been studied for a very long time, the problem of accounting for the interference
contributions for all the possible particle multiplicities observed in experiments is not solved yet. We
propose a method which is based on grouping of the interference contributions into sets in such a way that
the sum of all interference contributions of each particular set can be calculated with Laplaces method.
This approach allowed us to calculate all the interference contributions to the cross sections for multiplicities up to n∼50 at the energy ffiffiffi sp∼50GeV. The obtained models of the energy dependence
of the total pp scattering cross section and the inclusive rapidity distribution are in qualitative agreement
with the experiment. We also consider the well-known effect of the energy dependence of the shape of
inclusive rapidity distribution and propose an explanation for this dependence and consider it exactly as the
interference effect.
