Sixth-order effects in nucleon-nucleon scattering
| Autor: | J.L Gammel, W.R Wortman |
|---|---|
| Rok vydání: | 1972 |
| Předmět: |
Physics
Numerical Analysis Physics and Astronomy (miscellaneous) Series (mathematics) Applied Mathematics Nuclear Theory Monte Carlo method Computer Science Applications Renormalization Pseudoscalar Computational Mathematics symbols.namesake Modeling and Simulation Quantum electrodynamics symbols Padé approximant Feynman diagram Quantum field theory Nucleon Mathematical physics |
| Zdroj: | Journal of Computational Physics. 10:568-606 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/0021-9991(72)90053-8 |
| Popis: | Some of the series resulting from quantum field theory are known to be summable by Pade approximants. As a test of the feasibility of generating such series by numerically calculating the Feynman graphs in each order, we have calculated sixth order graphs for nucleon-nucleon scattering with pseudoscalar pion exchange. Graphs with a λϕ4 interaction of the pions are also calculated. We find that a modification of the Monte Carlo technique is essential to obtain accuracy, and that certain variable transformations are necessary to eliminate integrable boundary singularities which remain after renormalization. A brief discussion of the physical significance of the magnitude of the sixth-order terms is included. |
| Databáze: | OpenAIRE |
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