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arxiv: 0909.3121 · v1 · submitted 2009-09-16 · ✦ hep-ph · hep-ex

Pion photoproduction in a nonrelativistic theory

classification ✦ hep-ph hep-ex
keywords pionreactiontheoryeffectivefieldnonrelativisticnucleonphotoproduction
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The pion and nucleon mass differences generate a very pronounced cusp in the photoproduction reaction of a single pion on the nucleon. A nonrelativistic effective field theory to describe this reaction is constructed. The approach is rigorous in the sense that it is an effective field theory with a consistent power counting scheme. Expressions for the S- and P-wave multipole amplitudes for all four reaction channels at two loops are given.

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