Eur. Phys. J. A (2015) 51: 53
https://doi.org/10.1140/epja/i2015-15053-8

Regular Article - Theoretical Physics

Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order

¹ Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780, Bochum, Germany
² Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany
³ Institut für Kernphysik, Institute for Advanced Simulation, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
⁴ JARA - High Performance Computing, Forschungszentrum Jülich, D-52425, Jülich, Germany

^* e-mail: evgeny.epelbaum@rub.de

Received: 15 December 2014
Revised: 8 April 2015
Accepted: 14 April 2015
Published online: 12 May 2015

Abstract

We present improved nucleon-nucleon potentials derived in chiral effective field theory up to next-to-next-to-next-to-leading order. We argue that the nonlocal momentum-space regulator employed in the two-nucleon potentials of previous works (Nucl. Phys. A 747, 362 (2005) and Phys. Rev. C 68, 041001 (2003)) is not the most efficient choice, in particular since it affects the long-range part of the interaction. We are able to significantly reduce finite-cutoff artefacts by using an appropriate regularization in coordinate space which maintains the analytic structure of the amplitude. The new potentials do not require the additional spectral function regularization employed in (Nucl. Phys. A 747, 362 (2005)) to cut off the short-range components of the two-pion exchange and make use of the low-energy constants c_i and d_i determined from pion-nucleon scattering without any fine tuning. We discuss in detail the construction of the new potentials and convergence of the chiral expansion for two-nucleon observables. We also employ a simple approach for estimating the theoretical uncertainty in few-nucleon calculations from the truncation of the chiral expansion that replaces previous reliance on cutoff variation.