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Renormalizing Chiral Nuclear Forces: Triplet Channels

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arxiv 1111.3993 v2 pith:EVFF3DUU submitted 2011-11-16 nucl-th

Bingwei Long , Chieh-Jen Yang This is my paper · ORCID
classification nucl-th
keywords channelstripletchiralcountertermscountingpowersubleadingallow
verification ladder T0 review T1 audit T2 compute T3 formal

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We discuss the subleading contact interactions, or counterterms, of the triplet channels of nucleon-nucleon scattering in the framework of chiral effective field theory, with S and P waves as the examples. The triplet channels are special in that they allow the singular attraction of one-pion exchange to modify Weinberg's original power counting (WPC) scheme. With renormalization group invariance as the constraint, our power counting for the triplet channels can be summarized as a modified version of naive dimensional analysis in which, when compared with WPC, all of the counterterms in a given partial wave (leading or subleading) are enhanced by the same amount. More specifically, this means that WPC needs no modification in 3S1-3D1 and 3P1, whereas a two-order enhancement is necessary in both 3P0 and 3P2 - 3F2.

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Cited by 3 Pith papers

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

  1. Perturbative calculations of nucleon-deuteron elastic scattering in chiral effective field theory

    nucl-th 2026-02 conditional novelty 6.0 of 10

    A fixed-kernel perturbation framework computes nucleon-deuteron scattering up to next-to-leading order in chiral EFT, benchmarked against wave-packet continuum discretization.

  2. Systematic study of large-momentum distribution in nuclei with the operator product expansion

    nucl-th 2024-12 conditional novelty 6.0 of 10

    Using OPE matched to Pionless EFT, the authors reproduce the deuteron's high-momentum nucleon distribution from scattering-state inputs, validating the method against the AV18 potential.

  3. Bootstrapping Two-Nucleon Effective Field Theories

    nucl-th 2026-05 unverdicted novelty 5.0 of 10

    Bootstrap consistency checks show that the NLO chiral EFT potential for the 1S0 two-nucleon wave remains valid over a significantly wider energy range than the LO version when compared to Granada phase shifts.

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