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.

arXiv commentPublished version

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Cited by in corpus (13)

• Nuclear effective field theory: status and perspectives
• The parity-violating nucleon-nucleon force in the 1/N_c expansion
• First Observation of $P$-odd $\gamma$ Asymmetry in Polarized Neutron Capture on Hydrogen
• Violations of discrete space-time symmetries in chiral effective field theory
• Parity- and time-reversal-violating nuclear forces
• The long and winding road from chiral effective Lagrangians to nuclear structure
• 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
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• $\Delta S=0$ Hadronic Parity Violation in Next-to-Leading Order QCD: Anomalous Dimension Matrices and Their Implications