High-quality two-nucleon potentials up to fifth order of the chiral expansion Article Swipe
YOU?
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· 2017
· Open Access
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· DOI: https://doi.org/10.1103/physrevc.96.024004
· OA: W2744267405
We present NN potentials through five orders of chiral effective field theory\nranging from leading order (LO) to next-to-next-to-next-to-next-to-leading\norder (N4LO). The construction may be perceived as consistent in the sense that\nthe same power counting scheme as well as the same cutoff procedures are\napplied in all orders. Moreover, the long-range parts of these potentials are\nfixed by the very accurate pi-N LECs as determined in the Roy-Steiner equations\nanalysis by Hoferichter, Ruiz de Elvira and coworkers. In fact, the\nuncertainties of these LECs are so small that a variation within the errors\nleads to effects that are essentially negligible, reducing the error budget of\npredictions considerably. The NN potentials are fit to the world NN data below\npion-production threshold of the year of 2016.\n The potential of the highest order (N4LO) reproduces the world NN data with\nthe outstanding chi^2/datum of 1.15, which is the highest precision ever\naccomplished for any chiral NN potential to date. The NN potentials presented\nmay serve as a solid basis for systematic ab initio calculations of nuclear\nstructure and reactions that allow for a comprehensive error analysis. In\nparticular, the consistent order by order development of the potentials will\nmake possible a reliable determination of the truncation error at each order.\nOur family of potentials is non-local and, generally, of soft character. This\nfeature is reflected in the fact that the predictions for the triton binding\nenergy (from two-body forces only) converges to about 8.1 MeV at the highest\norders. This leaves room for three-nucleon-force contributions of moderate\nsize.\n