2017/03/31 by D. R. Entem, R. Machleidt, Y. Nosyk · 2 citations
Mathematics · Physics and Astronomy · #Astronomical and nuclear sciences #Cutoff #Effective field theory #Energy (signal processing) #Mathematics #Nuclear physics research studies #Nucleon #Order (exchange) #Particle physics #Physics #Quality (philosophy) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistical physics #Statistics #Theoretical physics #Truncation (statistics) #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevc.96.024004
published as Phys. Rev. C 96, 024004 (2017) · 24 pages, 3 figures. Section about three-nucleon forces expanded. Section about uncertainty quantifications added
arxiv created 2017/08/10 · openalex publication_date 2017/08/10 · arxiv updated 2017/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We present NN potentials through five orders of chiral effective field theory ranging from leading order (LO) to next-to-next-to-next-to-next-to-leading order (N4LO). The construction may be perceived as consistent in the sense that the same power counting scheme as well as the same cutoff procedures are applied in all orders. Moreover, the long-range parts of these potentials are fixed by the very accurate \ensuremathπN low-energy constants (LECs) as determined in the Roy-Steiner equations analysis by Hoferichter, Ruiz de Elvira, and coworkers. In fact, the uncertainties of these LECs are so small that a variation within the errors leads to effects that are essentially negligible, reducing the error budget of predictions considerably. The NN potentials are fit to the world NN data below the pion-production threshold of the year 2016. The potential of the highest order (N4LO) reproduces the world NN data with the outstanding \ensuremathχ2/datum of 1.15, which is the highest precision ever accomplished for any chiral NN potential to date. The NN potentials presented may serve as a solid basis for systematic ab initio calculations of nuclear structure and reactions that allow for a comprehensive error analysis. In particular, the consistent order by order development of the potentials will make possible a reliable determination of the truncation error at each order. Our family of potentials is nonlocal and, generally, of soft character. This feature is reflected in the fact that the predictions for the triton binding energy (from two-body forces only) converges to about 8.1 MeV at the highest orders. This leaves room for three-nucleon-force contributions of moderate size.