Nonlinearities of King's plot and their dependence on nuclear radii

Abstract

Investigations of isotope shifts of atomic spectral lines provide insights into nuclear properties. Deviations from the linear dependence of the isotope shifts of two atomic transitions on nuclear parameters, leading to a nonlinearity of the so-called King plot, are actively studied as a possible way of searching for the new physics. In the present work we calculate the King-plot nonlinearities originating from the Standard-Model atomic theory. The calculation is performed both analytically, for a model example applicable for an arbitrary atom, and numerically, for one-electron ions. It is demonstrated that the Standard-Model predictions of the King-plot nonlinearities are hypersensitive to experimental errors of nuclear charge radii. This effect significantly complicates identifications of possible King-plot nonlinearities originating from the new physics.

References in corpus (18)

• New Developments in the Casimir Effect
• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Stellar cooling bounds on new light particles: plasma mixing effects
• Probing new light force-mediators by isotope shift spectroscopy
• Coherent laser spectroscopy of highly charged ions using quantum logic
• Limits on a CP-violating scalar axion-nucleon interaction
• Evidence for Nonlinear Isotope Shift in Yb${}^{+}$ Search for New Boson
• Isotope shift, non-linearity of King plots and the search for new particles
• Constraining New Physics Models with Isotope Shift Spectroscopy
• Improved isotope-shift-based bounds on bosons beyond the Standard Model through measurements of the ${}^2$D${}_{3/2}{-}^2$D${}_{5/2}$ interval in Ca${}^{+}$
• Precision measurement of atomic isotope shifts using a two-isotope entangled state
• Generalized King linearity and new physics searches with isotope shifts
• Nuclear size correction to the Lamb shift of one-electron atoms
• Isotope-shift spectroscopy of the ${}^1{S}_0\to {}^3{P}_1$ and ${}^1{S}_0\to {}^3{P}_0$ transitions in strontium
• Part-per-billion measurement of the $4^2{S}_{1/2}\to 3^2{D}_{5/2}$ electric quadrupole transition isotope shifts between ${}^{42,44,48}$Ca${}^{+}$ and ${}^{40}$Ca${}^{+}$
• Non-linear isotope-shift effects in Be-like, B-like, and C-like argon
• Nuclear polarization effects in atoms and ions
• Sensitivity of isotope shift to distribution of nuclear charge density

Cited by in corpus (8)

• Direct Bound-Electron $g$ factor Difference Measurement with Coupled Ions
• Isotope Shifts in Cadmium as a Sensitive Probe for Physics Beyond the Standard Model
• Deuterium spectroscopy for enhanced bounds on physics beyond the Standard Model
• Testing Standard Model extensions with few-electron ions
• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• Calculation of isotope shifts and King plot nonlinearities in Ca${}^{+}$
• Isotope-shift analysis with the $4f^{14}6s^2{}^1{S}_0-4f^{13}5d6s^2(J=2)$ transition in ytterbium
• Evidence of Two-Source King Plot Nonlinearity in Spectroscopic Search for New Boson