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 of Ref. [E. Epelbaum, H. Krebs, U.-G. Meißner, arXiv:1412.0142 [nucl-th]]. 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 in Ref. [E. Epelbaum, H. Krebs, U.-G. Meißner, arXiv:1412.0142 [nucl-th]]. 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 the structure of the three-nucleon force in the framework of chiral effective field theory.

5 pages, 4 figures, 3 tables

References in corpus (10)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Three-body forces: From cold atoms to nuclei
• Structure and rotations of the Hoyle state
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Low-energy neutron-deuteron reactions with N3LO chiral forces
• Statistical uncertainties of a chiral interaction at next-to-next-to leading order
• Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
• Uncertainty Quantification of the Pion-Nucleon Low-Energy Coupling Constants up to Fourth Order in Chiral Perturbation Theory

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