P- and T-violating $\pi NN$ form factor

Abstract

The form factor of the parity and time-reversal violating (PTV) pion-nucleon interaction is calculated from one-loop vertex diagrams. The degrees of freedom included in the effective lagrangian are nucleons, pions, $\eta$, $\rho$ and $\omega$ mesons. We show that by studying the form factor one can constrain the PTV meson-nucleon coupling constants. We evaluate the mean square radius associated with the PTV $\pi NN$ vertex. Using the mean square radius, we estimate the effect of the PTV $\pi NN$ vertex on the neutron electric dipole moment, and find a very small correction. We also extract the renormalisation group $\beta$ function and use it to discuss evolution of the PTV $\pi NN$ coupling constant beyond the hadronic mass scale.

14 pages, 2 figures. Added discussion of neutron EDM; to be published in Nucl.Phys.A

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• Theta Vacua, QCD Sum Rules, and the Neutron Electric Dipole Moment
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Cited by in corpus (2)

• The Effective Chiral Lagrangian From the Theta Term
• Connection between the high energy-scale evolution of the P- and T-odd $\pi NN$ coupling constant and the strong $\pi NN$ interaction