Laplace’s method for elastic scattering diagrams within multiparticle fields model

Abstract

We apply the multiparticle fields model to calculate the differential cross section $d\ensuremath{\sigma}/dt$ of elastic proton-proton scattering. This problem includes the calculation of multidimensional integrals arising from the loop Feynman diagrams. We demonstrated how these integrals can be reduced with Laplace's method to one- and two-dimensional integrals which can be calculated numerically. The obtained result qualitatively describes the minimum in differential cross section dependency $d\ensuremath{\sigma}/dt(t)$.