Nuclear Corrections to Hyperfine Structure in Light Hydrogenic Atoms

Abstract

Hyperfine intervals in light hydrogenic atoms and ions are among the most accurately measured quantities in physics. The theory of QED corrections has recently advanced to the point that uncalculated terms for hydrogenic atoms and ions are probably smaller than 0.1 parts per million (ppm), and the experiments are even more accurate. The difference of the experiments and QED theory is interpreted as the effect on the hyperfine interaction of the (finite) nuclear charge and magnetization distributions, and this difference varies from tens to hundreds of ppm. We have calculated the dominant component of the 1s hyperfine interval for deuterium, tritium and singly ionized helium, using modern second-generation potentials to compute the nuclear component of the hyperfine splitting for the deuteron and the trinucleon systems. The calculated nuclear corrections are within 3% of the experimental values for deuterium and tritium, but are about 20% discrepant for singly ionized helium. The nuclear corrections for the trinucleon systems can be qualitatively understood by invoking SU(4) symmetry.

26 pages, 1 figure, latex - submitted to Physical Review C

References in corpus (3)

• On the rms-radius of the proton
• Zemach Moments for Hydrogen and Deuterium
• Corrections to deuterium hyperfine structure due to deuteron excitations

Cited by in corpus (25)

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• Direct measurement of the ${}^3$He${}^{+}$ magnetic moments
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• Hyperfine structure of Li and Be^+
• Nuclear Polarization Corrections to mu-d Atoms in Zero-Range Approximation
• Ground state hyperfine splitting in ^6,7Li atoms and the nuclear structure
• Hyperfine Structure of S-States in Muonic Helium Ion
• Nuclear-structure corrections to the hyperfine splitting in muonic deuterium
• Theory of the n=2 levels in muonic helium-3 ions
• Zemach moments and radii of 2,3H and 3,4He
• Weak Interaction Contributions in Light Muonic Atoms
• Electric Dipole Polarizabilities of Hydrogen and Helium Isotopes
• Higher-order corrections to spin-spin scalar interactions in HD${}^{+}$ and H${}_2^{+}$
• Probing uncertainties of nuclear structure corrections in light muonic atoms
• Nuclear vector polarizability correction to hyperfine splitting
• Two-photon exchange on neutron and the hyperfine splitting
• Hyperfine structure of S-states in muonic ions of lithium, beryllium and boron
• Nuclear polarization effects in muonic atoms
• Non-spherical proton shape and hydrogen hyperfine splitting
• Hyperfine structure of S states in Li and Be^+
• Nuclear recoil correction to the hyperfine splitting in atomic systems
• Hyperfine structure of P states in muonic ions of lithium, beryllium and boron
• Dipole spin polarizabilities and gyrations of spin-1 particles in the Duffin-Kemmer-Petiau formalism