Laplace's method for elastic scattering diagrams within multi-particle fields model
| Autor: | Chudak, N. O., Sharph, I. V., Potiienko, O. S., Merkotan, K. K., Yushkevych, T. V., Milieva, A. O., Rusov, V. D. |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.106.036023 |
| Popis: | 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). Comment: v2: Revised, 31 pages, 8 figures, in English and Ukrainian; v3: substantially revised, 15 pages, 8 figures, in English only |
| Databáze: | arXiv |
| Externí odkaz: |
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