Abstract

We investigate the role of the delta isobar in the reaction πd→πd at threshold in chiral effective field theory. We discuss the corresponding power counting and argue that this calculation completes the evaluation of diagrams up to the order χ3/2, with χ the ratio of the pion to the nucleon mass. The net effect of all delta contributions at this order to the pion–deuteron scattering length is δaπdΔ=(2.4±0.4)×10−3mπ−1.

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