Electromagnetic corrections to $π^-$p scattering length from pionic hydrogen

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We derive a closed, model space independent, expression for the electromagnetic correction factor $δ$ to the scattering length $a$ extracted from a hydrogenic atom with an extended charge to order $α^2$ and $a^3$ in the limit of a short ranged hadronic interaction.
4 pages; PANIC02, XVIth Conference on Particles and Nuclei, Osaka, to appear in Nuclear Physics A

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