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Narrow Resonances in Effective Field Theory

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arxiv nucl-th/0304007 v1 pith:VTYJD7DZ submitted 2003-04-02 nucl-th hep-ph

P.F. Bedaque (LBNL) , H.-W. Hammer (Bonn U.) , U. van Kolck (U. of Arizona , RIKEN-BNL) This is my paper · ORCID
classification nucl-thhep-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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Deuterium-Proton Fusion in an Effective Field Theory Constructed from On-Shell Amplitudes

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    A nuclear-state on-shell EFT yields S(0)=0.209±0.008 eV b for d(p,γ)3He and traces the ab initio-data offset to a natural t_E1≈−0.15 contact term.

  2. Finite-range EFT for the $E1$ strength distribution of ${}^6$He

    nucl-th 2026-06 unverdicted novelty 6.0 of 10

    Finite-range Halo EFT with separable interactions computes the E1 strength distribution of ⁶He at NLO and rms charge radius 2.00 ± 0.09 fm, both agreeing with data within theory errors.

  3. Renormalizing Two-Neutron Halo Nuclei Without Neutron-Core Interaction

    nucl-th 2025-12 conditional novelty 6.0 of 10

    The Hongo-Son two-neutron halo EFT needs an extra renormalization condition—one input radius or scattering amplitude—before charge and matter radii can be predicted separately, and the resulting coupling has a Landau pole.

  4. Compositeness relations for near-threshold p-wave bound states

    hep-ph 2026-07 conditional novelty 4.0 of 10

    The paper derives p-wave compositeness relations a1 = 2(Z-1)/(Z+2) * 1/(2μB)^{3/2} and r1 = 3Z/(1-Z) sqrt(2μB) using a nonrelativistic effective field theory.

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