Effects of the long-range neutrino-mediated force in atomic phenomena

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 $\sim G_F^2/r^5$ with a very large range $\hslash /2m_{\nu }c$. Measurements of macroscopic effects produced by potential $G_{\mathrm{eff}}^2/r^5$ give limits on the effective interaction constant $G_{\mathrm{eff}}$ which exceed Fermi constant $G_F$ by many orders of magnitude, while limits from spectroscopy of simple atomic systems are approaching the Standard Model predictions. In the present paper we consider limits on $G_{\mathrm{eff}}$ from hydrogen, muonium, positronium, deuteron, and molecular hydrogen. Constraints are also obtained on fifth force parameterised by Yukawa-type potential mediated by a scalar particle.

7 pages, 3 figures, 2 tables

References in corpus (5)

• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Accurate nuclear radii and binding energies from a chiral interaction
• Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
• Constraints on extra dimensions from precision molecular spectroscopy
• On the short-range behavior of neutrino forces beyond the Standard Model: from $1/r^5$ to $1/r^4$, $1/r^2$, and $1/r$

Cited by in corpus (4)

• Spin-dependent exotic interactions
• 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