Solution of a Singular Integral Equation from Scattering Theory

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Abstract
The solution of a singular integral equation of the form ψ(ω,ω0)=−1ω−1π ∫ μ∞ρ(ω1,ω0)ψ(ω1,ω0) dω1ω1+ω−ω0−iεis obtained. The equation first appeared in the attempt of Källén and Pauli to solve V − θ scattering in the Lee model. The methods developed by one of us to solve that problem are turned to solving the integral equation itself.

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