Parity-violating $\pi NN$ coupling constant in the chiral quark-soliton model

Abstract

We investigate the parity-violating $\pi NN$ Yukawa coupling constant $h_{\pi NN}^1$ within the framework of the SU(2) chiral quark-soliton model, based on the $\Delta S=0$ effective weak Lagrangian derived within the same framework. We find that the parity-violating $\pi NN$ coupling constant is about $1\times 10^{-8}$ at the scale of 1 GeV. The results of $h_{\pi NN}^1$ turn out to be sensitive to the Wilson coefficient. We discuss how the gluonic renormalization supresses the parity-violating $\pi NN$ coupling constant.

12 pages, 3 figures. Final version accepted for publication in Phys. Lett. B

References in corpus (3)

• Hadronic Uncertainties in the Elastic Scattering of Supersymmetric Dark Matter
• New Precision Limit on the Strange Vector Form Factors of the Proton
• Lattice QCD Calculation of Nuclear Parity Violation

Cited by in corpus (6)

• Hadronic Parity Violation
• The Theory of Parity Violation in Few-Nucleon Systems
• First Observation of $P$-odd $\gamma$ Asymmetry in Polarized Neutron Capture on Hydrogen
• Parity nonconserving proton-proton elastic scattering
• Parity-violating $\pi NN$ coupling constant from the flavor-conserving effective weak chiral Lagrangian
• Parity nonconserving cold neutron-parahydrogen interactions