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

Abstract

We apply the multiparticle fields model to calculate the differential cross section dσ/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 dσ/dt(t).