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arXiv · 2101.04755

Laplace's method for elastic scattering diagrams within multi-particle fields model

N. O. Chudak·I. V. Sharph·O. S. Potiienko·K. K. Merkotan·T. V. Yushkevych·A. O. Milieva·V. D. Rusov
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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).

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N. O. Chudak, I. V. Sharph, O. S. Potiienko, K. K. Merkotan, T. V. Yushkevych, A. O. Milieva, V. D. Rusov. 2021-01-12. Laplace's method for elastic scattering diagrams within multi-particle fields model. https://doi.org/10.1103/physrevd.106.036023

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