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Can the Moller scattering cross section be calculated with a two-particle potential?

The Feynman prescription for scattering two electrons, using perturbation theory (Weinberg QTF Vol1) involves squaring the J*A interaction Hamiltonian of particle "a" and ascribing the second factor to a different particle in a different field. Then tries to connect 2 independent interactions with Time-ordered propagators.. The dimensions are fudged so that JA has dimension sqrt(alpha). Lotta armwaving going on... All other physics uses two-particle potentials ... ??? My Question is Can the Moller scattering amplitude and differential cross-section be calculated using a two-particle potential?

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  • $\begingroup$ Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking. $\endgroup$
    – Community Bot
    Commented Nov 1, 2023 at 18:38
  • $\begingroup$ Hope the edit clarifies the question. $\endgroup$
    – LiveProton
    Commented Nov 2, 2023 at 4:11

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