Relativistic corrections of mα^6(m/M) order to the hyperfine structure of the H_2^+ molecular ion

Abstract

The mα^6(m/M) order corrections to the hyperfine splitting in the H_2^+ ion are calculated. That allows to reduce uncertainty in the frequency intervals between hyperfine sublevels of a given rovibrational state to about 10 ppm. Results are in good agreement with the high precision experiment carried out by Jefferts in 1969.

arXiv comment13 pages, 2 figures, 4 tables

References in corpus (7)

• Radiative Corrections to the Muonium Hyperfine Structure. I. The ${\alpha }^2(Z\alpha )$ Correction
• Relativistic corrections of mα^6 order to the ro-vibrational spectrum of H_2^+ and HD^+ molecular ions
• Nuclear Structure-Dependent Radiative Corrections to the Hydrogen Hyperfine Splitting
• Radiative Corrections to the Muonium Hyperfine Structure. II. The $\alpha (Z\alpha {)}^2$ Correction
• Zemach and magnetic radius of the proton from the hyperfine splitting in hydrogen
• Vibrational spectroscopy of H2+: hyperfine structure of two-photon transitions
• Relativistic corrections of order mα^6 to the two-center problem

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• XUV frequency comb metrology on the ground state of helium
• Two-photon spectroscopy of trapped HD${}^{+}$ ions in the Lamb-Dicke regime
• 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
• Hyperfine structure in the H${}_2^{+}$ and HD${}^{+}$ molecular ions at $m{\alpha }^6$ order
• Higher-order corrections to spin-spin scalar interactions in HD${}^{+}$ and H${}_2^{+}$
• Structure and dynamics of H${}_2^{+}$ near the dissociation threshold: a combined experimental and computational investigation
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