Variation of the quadrupole hyperfine structure and nuclear radius due to an interaction with scalar and axion dark matter

Abstract

Atomic spectroscopy is used to search for the space-time variation of fundamental constants which may be due to an interaction with scalar and pseudo-scalar (axion) dark matter. In this letter, we study the effects which are produced by the variation of the nuclear radius and electric quadrupole moment. The sensitivity of the electric quadrupole hyperfine structure to both the variation of the quark mass and the effects of dark matter exceeds that of the magnetic hyperfine structure by 1-2 orders of magnitude. Therefore, the measurement of the variation of the ratio of the electric quadrupole and magnetic dipole hyperfine constants is proposed. The sensitivity of the optical clock transitions in the Yb${}^{+}$ ion to the variation of the nuclear radius allows us to extract, from experimental data, limits on the variation of the hadron and quark masses, the QCD parameter $\theta$ and the interaction with axion and scalar dark matter.

arXiv commentv2: References added

References in corpus (23)

• The Local Dark Matter Density
• Searching for dilaton dark matter with atomic clocks
• Space-Time Variation of Physical Constants and Relativistic Corrections in Atoms
• Calculations of the Relativistic Effects in Many-Electron Atoms and Space-Time Variation of Fundamental Constants
• Can dark matter induce cosmological evolution of the fundamental constants of Nature?
• Search for ultralight scalar dark matter with atomic spectroscopy
• Searching for an oscillating massive scalar field as a dark matter candidate using atomic hyperfine frequency comparisons
• Precision Metrology Meets Cosmology: Improved Constraints on Ultralight Dark Matter from Atom-Cavity Frequency Comparisons
• Dependence of nuclear magnetic moments on quark masses and limits on temporal variation of fundamental constants from atomic clock experiments
• Improved tests of Local Position Invariance using 87Rb and 133Cs fountains
• Improved limits on the coupling of ultralight bosonic dark matter to photons from optical atomic clock comparisons
• Evidence for Nonlinear Isotope Shift in Yb${}^{+}$ Search for New Boson
• Search for variation of the fundamental constants in atomic, molecular and nuclear spectra
• Dependence of nuclear binding on hadronic mass variation
• Improved limits on interactions of low-mass spin-0 dark matter from atomic clock spectroscopy
• Effects of theta on the deuteron binding energy and the triple-alpha process
• Enhanced effect of quark mass variation in 229Th and limits from Oklo data
• Search for ultralight dark matter from long-term frequency comparisons of optical and microwave atomic clocks
• The sensitivity of hyperfine structure to nuclear radius and quark mass variation
• Nuclear deformation as a source of the non-linearity of King plot in the Yb${}^{+}$ ion
• Material Size Dependence on Fundamental Constants
• Current quark mass dependence of nucleon magnetic moments and radii
• Space-time variation of the s and c quark masses

Cited by in corpus (3)

• Ultralight Dark Matter Search with Space-Time Separated Atomic Clocks and Cavities
• Constraints on the Variation of Physical Constants, Equivalence Principle Violation, and a Fifth Force from Atomic Experiments
• Constraints on the Variation of the QCD Interaction Scale ${\Lambda }_{\text{QCD}}$