title: High-precision calculation of the hyperfine structure of the HD+ ion.
abstract: High-precision laser spectroscopy of ultracold hydrogen molecular ions has the potential of improving the precision of the electron-to-proton mass ratio. An accurate knowledge of the spin structure of the transition is required in order to permit precise comparison with experimental transition frequencies. We calculate with a relative accuracy of the order of O(alpha2) the hyperfine splitting of the rovibrational states of HD+ with orbital momentum L<or=4 and vibrational quantum numbers up to v=17, using the Breit-Pauli spin interaction Hamiltonian. These are the first complete ab initio calculations at this order of accuracy. A discrepancy between experiment and previous theory is resolved.
authors.affiliation: Institute for Nuclear Research and Nuclear Energy, Tsarigradsko chaussée 72, Sofia 1784, Bulgaria.
authors.forename: Dimitar
authors.initials: D
authors.lastname: Bakalov
authors.forename: Vladimir I
authors.initials: VI
authors.lastname: Korobov
authors.forename: Stephan
authors.initials: S
authors.lastname: Schiller