Effective Field Theory Convergence Pattern of Modern Nucleon-Nucleon Potentials*

We apply our model of correlated effective field theory (EFT) truncation errors to several nucleon-nucleon (NN) potentials developed using chiral EFT (χEFT). We use the associated graphical diagnostics to assess which potentials have a χEFT convergence pattern consistent with the assumed statistical model based on Gaussian processes. We find that regular EFT convergence over a wide range of angles and energies requires careful identification, using the diagnostics, of the EFT expansion parameter Q, reference scale, and independent variables for the observables, and we demonstrate that concordance with our model can be improved for a given choice of potential by varying these parameters. For potentials that do yield observables that converge in accordance with the Q expansion, we infer a breakdown scale and correlation lengths for the EFT description of NN scattering observables from the convergence of the series. We illustrate how the diagnostics reveal deficiencies of a potential with non-standard order-by-order convergence. All our results can be reproduced through a publicly available Jupyter notebook, which can be straightforwardly modified to analyze other χEFT NN potentials.