Eur. Phys. J. A (2014) 50: 108
https://doi.org/10.1140/epja/i2014-14108-8

Regular Article - Theoretical Physics

A study of the parity-odd nucleon-nucleon potential

¹ Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
² Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany
³ Physik Department T39, Technische Universität München, D-85747, Garching, Germany
⁴ Collaborative Innovation Center of Quantum Matter, 100871, Beijing, China
⁵ Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 100871, Beijing, China

^* e-mail: j.de.vries@fz-juelich.de

Received: 16 April 2014
Revised: 24 May 2014
Accepted: 28 May 2014
Published online: 7 July 2014

Abstract

We investigate the parity-violating nucleon-nucleon potential as obtained in chiral effective field theory. By using resonance saturation we compare the chiral potential to the more traditional one-meson-exchange potential. In particular, we show how parameters appearing in the different approaches can be compared with each other and demonstrate that analyses of parity violation in proton-proton scattering within the different approaches are in good agreement. In the second part of this work, we extend the parity-violating potential to next-to-next-to-leading order. We show that generally it includes both one-pion- and two-pion-exchange corrections, but the former play no significant role. The two-pion-exchange corrections depend on five new low-energy constants which only become important if the leading-order weak pion-nucleon constant h _π turns out to be very small.