Higher-order recoil corrections for triplet states of the helium atom

Abstract

Nuclear recoil corrections of order ${\alpha }^6{m}^2/M$ are calculated for the lowest-lying triplet states of the helium atom. It improves the theoretical prediction for the isotope shift of the $2^{3}S-2^{3}P$ transition energy and influences the determination of the ${}^3\text{He}-{}^4\text{He}$ nuclear charge radii difference. This calculation is a step forward on the way towards the direct determination of the charge radius of the helium nucleus from spectroscopic measurements.

45 pages

References in corpus (3)

• ${\alpha }^4$ Ry corrections to singlet states of helium
• Frequency metrology of helium around 1083 nm and determination of the nuclear charge radius
• Nuclear recoil effect in the Lamb shift of light hydrogen-like atoms

Cited by in corpus (21)

• Testing fundamental interactions on the helium atom
• Probing new spin-independent interactions through precision spectroscopy in atoms with few electrons
• Complete ${\alpha }^{7}m$ Lamb shift of helium triplet states
• Theory of the Lamb shift and Fine Structure in muonic ${}^4\mathrm{He}$ ions and the muonic ${}^3\mathrm{He}{-}^4\mathrm{He}$ Isotope Shift
• Nuclear Charge Radii of ${}^{10,11}$B
• Higher-order recoil corrections for singlet states of the helium atom
• The next generation of laser spectroscopy experiments using light muonic atoms
• NRQED approach to the fine and hyperfine structure corrections of order $m{\alpha }^6$ and $m{\alpha }^6(m/M)$ -- Application to the hydrogen atom
• Theory of the n=2 levels in muonic helium-3 ions
• Hyperfine structure in the H${}_2^{+}$ and HD${}^{+}$ molecular ions at $m{\alpha }^6$ order
• Atomic structure calculations of helium with correlated exponential functions
• Nonradiative ${\alpha }^{7}m$ QED effects in Lamb shift of helium triplet states
• Radiative ${\mathbf{\alpha }}^7\mathbf{m}$ QED contribution to the helium Lamb shift
• QED and relativistic nuclear recoil corrections to the 413 nm tune-out wavelength for the $2{}^3{S}_1$ state of helium
• Relativistic full-configuration-interaction calculations of magic wavelengths for the $2{}^3{S}_1\to 2{}^1{S}_0$ transition of helium isotopes
• Revised ${}^3$He nuclear charge radius due to electronic hyperfine mixing
• Foldy-Wouthuysen Transformation in Strong Magnetic Fields and Relativistic Corrections for Quantum Cyclotron Energy Levels
• Thermal corrections of lowest order for a helium atom
• Eighth-Order Foldy-Wouthuysen Transformation
• Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian
• Frequency measurements of transitions from the $2^3{P}_2$ state to the $5^1{D}_2$, $5^3{S}_1$, and $5^{3}D$ states in ultracold helium