This title appears in the Scientific Report : 2015 

Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion
Epelbaum, E.
Krebs, H. / Meißner, U.-G.
Theorie der Starken Wechselwirkung; IAS-4
Theorie der starken Wechselwirkung; IKP-3
Physical review letters, 115 (2015) 12, S. 122301
College Park, Md. APS 2015
Journal Article
Symmetries and the Emergence of Structure in QCD
Computational Science and Mathematical Methods
Please use the identifier: in citations.
Please use the identifier: in citations.
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. Mei{\ss}ner, 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. Mei{\ss}ner, 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.