Long-range parity non-conserving electron-nucleon interaction

Abstract

As known, electron vacuum polarization by nuclear Coulomb field produces Uehling potential with the range $\hslash /2m_{e}c$. Similarly, neutrino vacuum polarization by $Z$ boson field produces long range potential $\sim G^2/r^5$ with the large range $\hslash /2m_{\nu }c$. Attempts to measure parity-conserving part of this potential produced only limits on this potential which are several orders of magnitude higher than the standard model predictions. We show that parity non-conserving (PNC) part of the neutrino exchange potential $W_L(r)$ gives a significant fraction of the observed PNC effects. Mixed $Z-\gamma$ electron vacuum polarization produces PNC potential with range $\hslash /2m_{e}c$, which exceeds the range of the weak interaction by five orders of magnitude. We calculate contribution of the long-range PNC potentials to the nuclear spin independent and nuclear spin dependent PNC effects. The cases of the single-isotope PNC effects and the ratio of PNC effects in different isotopes are considered for Ca, Cs, Ba, Sm, Dy, Yb, Hg, Tl, Pb, Bi, Fr, Ra atoms and ions. Contributions of the long-range PNC potentials ($\sim$1\%) significantly exceed experimental error (0.35\%) for PNC effect in Cs.

6 pages, 1 figure

References in corpus (10)

• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
• Parity and Time-Reversal Violation in Atomic Systems
• Dispelling the curse of the neutron skin in atomic parity violation
• Measurement of the radial matrix elements for the $6s^2{S}_{1/2}\to 7p^2{P}_J$ transitions in cesium
• Electric dipole matrix elements for the $6p{}^2{P}_J\to 7s{}^2{S}_{1/2}$ transition in atomic cesium
• On the short-range behavior of neutrino forces beyond the Standard Model: from $1/r^5$ to $1/r^4$, $1/r^2$, and $1/r$
• Influence of Meson's Widths on Yukawa-like Potentials and Lattice Correlation Functions
• Parity-mixed coupled-cluster formalism for computing parity-violating amplitudes
• Measurement of the hyperfine coupling constants and absolute energies of the $12s{}^2{S}_{1/2}$, $13s{}^2{S}_{1/2}$, and $11d{}^2{D}_J$ levels in atomic cesium

Cited by in corpus (6)

• Spin-dependent exotic interactions
• Precision theoretical determination of electric-dipole matrix elements in atomic cesium
• The neutrino force in neutrino backgrounds: Spin dependence and parity-violating effects
• Neutrino force at all length scales
• Neutrino Effects on Atomic Measurements of the Weinberg Angle
• Chiral environment effects on the dynamics of a central chiral molecule