Parity-Violating Nuclear Force as derived from QCD Sum Rules

TL;DR

This paper uses QCD sum rules to calculate parity-violating nuclear force couplings, providing theoretical predictions that align with phenomenological estimates and experimental data, advancing understanding of weak interactions in nuclear physics.

Contribution

It extends previous QCD sum rule calculations to additional parity-violating couplings, offering a more comprehensive theoretical framework for weak nuclear forces.

Findings

Predictions agree with phenomenological estimates

Extended calculations to multiple parity-violating couplings

Supports the validity of QCD sum rule approach in weak interactions

Abstract

Parity-violating nuclear force, as may be accessed from parity violation studies in nuclear systems, represents an area of nonleptonic weak interactions which has been the subject of experimental investigations for several decades. In the simple meson-exchange picture, parity-violating nuclear force may be parameterized as arising from exchange of \pi, \rho, \omega, or other meson(s) with strong meson-nucleon coupling at one vertex and weak parity-violating meson-nucleon coupling at the other vertex. The QCD sum rule method allows for a fairly complicated, but nevertheless straightforward, leading-order loop-contribution determination of the various parity-violating MNN couplings starting from QCD (with the nontrivial vacuum) and Glashow-Salam-Weinberg electroweak theory. We continue our earlier investigation of parity-violating \pi NN coupling (by Henley, Hwang, and Kisslinger) to other parity-violating couplings. Our predictions are in reasonable overall agreement with the results estimated on phenomenological grounds, such as in the now classic paper of Desplanques, Donoghue, and Holstein (DDH), in the global experimental fit of Adelberger and Haxton (AH), or the effective field theory (EFT) thinking of Ramsey-Musolf and Page (RP).