On nonrelativistic field theory: Interpolating fields and long-range forces

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Abstract
A field‐theoretic version of nonrelativistic, multichannel scattering theory is presented in which the particles interact via two‐body potentials, which can include both long‐range (Coulomb, etc.) and short‐range potentials. By utilizing known first‐quantized results, in and out fields and interpolating fields are constructed both for simple and composite particles, and an asymptotic condition using strong convergence is proved. Complexities present when long‐range potentials are involved are discussed.

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