Abstract
The general formula of the π − p atom strong energy-level shift in the 1 s state is derived in the next-to-leading order in the isospin breaking, and in all orders in chiral expansion. Isospin-breaking corrections to the level shift are explicitly evaluated at order p 2 in ChPT. The results clearly demonstrate the necessity to critically reaccess the values of the πN scattering lengths, extracted from the energy-level shift measurement by means of the potential model-based theoretical analysis.
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