A study of the parity-odd nucleon-nucleon potential

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 $h_{\pi }$ turns out to be very small.

Published version

References in corpus (6)

• Chiral effective field theory and nuclear forces
• Chiral perturbation theory
• An effective-field-theory analysis of low-energy parity-violation in nucleon-nucleon scattering
• On a redundancy in the parity-violating 2-nucleon contact Lagrangian
• A chiral effective field theory study of hadronic parity violation in few-nucleon systems
• Parity-violating two-pion exchange nucleon-nucleon interaction

Cited by in corpus (4)

• The parity-violating nucleon-nucleon force in the 1/N_c expansion
• Polarized proton-deuteron scattering as a test of time-reversal invariance
• Parity violation in neutron capture on the proton: determining the weak pion-nucleon coupling
• Energy spectra of two interacting fermions with spin-orbit coupling in a harmonic trap