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.

13 pages, 2 figures, 4 tables

References in corpus (3)

• Relativistic corrections of mα^6 order to the ro-vibrational spectrum of H_2^+ and HD^+ molecular ions
• Vibrational spectroscopy of H2+: hyperfine structure of two-photon transitions
• Relativistic corrections of order mα^6 to the two-center problem

Cited by in corpus (5)

• Constraints on extra dimensions from precision molecular spectroscopy
• The Born-Oppenheimer approximation in an effective field theory language
• 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
• Magnetic moment of a bound electron