Narrow Resonances in Effective Field Theory

H.-W. Hammer (Bonn U.); P.F. Bedaque (LBNL); Riken-BNL); U. van Kolck (U. of Arizona

arxiv: nucl-th/0304007 · v1 · submitted 2003-04-02 · ⚛️ nucl-th · hep-ph

Narrow Resonances in Effective Field Theory

P.F. Bedaque (LBNL) , H.-W. Hammer (Bonn U.) , U. van Kolck (U. of Arizona , Riken-BNL) This is my paper

classification ⚛️ nucl-th hep-ph

keywords effectivefieldnarrowresonancestheorythresholdcaseclose

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We discuss the power counting for effective field theories with narrow resonances near a two-body threshold. Close to threshold, the effective field theory is perturbative and only one combination of coupling constants is fine-tuned. In the vicinity of the resonance, a second, ``kinematic'' fine-tuning requires a nonperturbative resummation. We illustrate our results in the case of nucleon-alpha scattering.

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