Abstract
The e. m. dispersive corrections to the πN scattering lengths are derived using minimal e. m. coupling in PCAC for the nucleon and Δ pole terms in the heavy baryon limit. Form factors and masses are assumed to have their empirical values, with no free parameter. This approach gives a large correction to the elastic charged‐pion isoscalar scattering length. The result is compared to that of chiral effective field theory (EFT) and applied to the 1S energy shift of the π−p atom.
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