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Delta Effects in Pion-Nucleon Scattering and the Strength of the Two-Pion-Exchange Three-Nucleon Interaction

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arxiv nucl-th/0501061 v1 pith:66YONXBV submitted 2005-01-25 nucl-th

classification nucl-th
keywords strengthtpe3nicalculationsdeltainteractionp-wavescatteringterms
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider the relationship between P-wave pi-N scattering and the strength of the P-wave two-pion-exchange three-nucleon interaction (TPE3NI). We explain why effective theories that do not contain the delta resonance as an explicit degree of freedom tend to overestimate the strength of the TPE3NI. The overestimation can be remedied by higher-order terms in these ``delta-less'' theories, but such terms are not yet included in state-of-the-art chiral EFT calculations of the nuclear force. This suggests that these calculations can only predict the strength of the TPE3NI to an accuracy of +/-25%.

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Cited by 1 Pith paper

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  1. Relativistic chiral nuclear forces: status and prospects

    nucl-th 2025-01 conditional novelty 2.0 of 10

    A review of the relativistic chiral nuclear force, presenting the Beihang group's own NNLO results for nucleon-nucleon scattering and promising faster convergence than the standard Weinberg approach.

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