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arXiv · 2203.13881

Numerical calculation of 3-pion Coulomb scattering using scalar QED

Dhevan Gangadharan
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Abstract

The Coulomb scattering between three charged pions is shown to be perturbatively calculable using scalar QED for the relative momenta accessible to high-energy experiments of particle collisions. For the triplet relative momenta, $Q_3 \gtrsim 50$ MeV/$c$, the calculated three-pion correlation function at $O(α^2)$ is very similar to the commonly-used triple-product of pair factors -- Riverside approximation. At lower $Q_3$, but above the lowest existing experimental measurement of $\sim15$ MeV/$c$, terms of $O(α^3)$ or higher are needed to obtain a convincing description of three-pion Coulomb interactions. This is in contrast to two-pion correlations, for which the known exact solution is shown to be saturated by the lower orders at comparable pair relative momenta.

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Dhevan Gangadharan. 2022-03-25. Numerical calculation of 3-pion Coulomb scattering using scalar QED. https://doi.org/10.1016/j.physletb.2022.137280

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