Laplace's method for elastic scattering diagrams within multi-particle fields model
High Energy Physics - Phenomenology
2022-09-14 v3
Abstract
We apply the multi-particle fields model to calculate the differential cross-section d{\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 describe the minimum in differential cross-section dependency d{\sigma}/dt(t).
Cite
@article{arxiv.2101.04755,
title = {Laplace's method for elastic scattering diagrams within multi-particle fields model},
author = {N. O. Chudak and I. V. Sharph and O. S. Potiienko and K. K. Merkotan and T. V. Yushkevych and A. O. Milieva and V. D. Rusov},
journal= {arXiv preprint arXiv:2101.04755},
year = {2022}
}
Comments
v2: Revised, 31 pages, 8 figures, in English and Ukrainian; v3: substantially revised, 15 pages, 8 figures, in English only