Abstract
We present a dispersion relation in the pion-mass squared, which static quantities (nucleon mass, magnetic moment, etc.) obey under the assumption of analyticity in the entire complex mπ2 plane modulo a cut at negative mπ2 associated with pion production. The relation is verified here in a number of examples of nucleon and Δ-isobar properties computed in chiral perturbation theory up to order p3. We outline a method to obtain relations for other mass-dependencies and illustrate it on a two-loop example.
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