title: Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion.
abstract: We present a nucleon-nucleon potential at fifth order in chiral effective field theory. We find a substantial improvement in the description of nucleon-nucleon phase shifts as compared to the fourth-order results utilizing a coordinate-space regularization. This provides clear evidence of the corresponding two-pion exchange contributions with all low-energy constants being determined from pion-nucleon scattering. The fifth-order corrections to nucleon-nucleon observables appear to be of a natural size, which confirms the good convergence of the chiral expansion for nuclear forces. Furthermore, the obtained results provide strong support for the novel way of quantifying the theoretical uncertainty due to the truncation of the chiral expansion proposed by the authors. Our work opens up new perspectives for precision ab initio calculations in few- and many-nucleon systems and is especially relevant for ongoing efforts towards a quantitative understanding of the structure of the three-nucleon force in the framework of chiral effective field theory.
authors.affiliation: Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany.
authors.forename: E
authors.initials: E
authors.lastname: Epelbaum
authors.affiliation: Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany.
authors.forename: H
authors.initials: H
authors.lastname: Krebs
authors.affiliation: Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany.|Institut für Kernphysik, Institute for Advanced Simulation, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany.|JARA-High Performance Computing, Forschungszentrum Jülich, D-52425 Jülich, Germany.
authors.forename: U-G
authors.initials: UG
authors.lastname: Meißner