reconciling threshold and subthreshold expansions for pion–nucleon scattering

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ID: 135242
2017
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Abstract
Heavy-baryon chiral perturbation theory (ChPT) at one loop fails in relating the pion–nucleon amplitude in the physical region and for subthreshold kinematics due to loop effects enhanced by large low-energy constants. Studying the chiral convergence of threshold and subthreshold parameters up to fourth order in the small-scale expansion, we address the question to what extent this tension can be mitigated by including the Δ(1232) as an explicit degree of freedom and/or using a covariant formulation of baryon ChPT. We find that the inclusion of the Δ indeed reduces the low-energy constants to more natural values and thereby improves consistency between threshold and subthreshold kinematics. In addition, even in the Δ-less theory the resummation of 1/mN corrections in the covariant scheme improves the results markedly over the heavy-baryon formulation, in line with previous observations in the single-baryon sector of ChPT that so far have evaded a profound theoretical explanation.
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siemens2017physicsreconciling Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;D. Siemens;J. Ruiz de Elvira;E. Epelbaum;M. Hoferichter;H. Krebs;B. Kubis;U.-G. Meißner
Journal ACS chemical biology
Year 2017
DOI
10.1016/j.physletb.2017.04.039
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