The Zero-Quantum-Defect Method and the Fundamental Vibrational Interval of H2+_2^+

Abstract

The fundamental vibrational interval of H2+_{2}^+ has been determined to be ΔG1/2=2191.126614(17)\Delta G _{1/2} = 2191.126\,614(17) cm1^{-1} by continuous-wave laser spectroscopy of Stark manifolds of Rydberg states of H2_2 with the H2+_{2}^+ ion core in the ground and first vibrationally excited states. Extrapolation of the Stark shifts to zero field yields the zero-quantum-defect positions RH2-R_{\textrm{H}_2}/n2n^2, from which ionization energies can be determined. Our new result represents a four-order-of-magnitude improvement compared to earlier measurements. It agrees, within the experimental uncertainty, with the value of 2191.126\,626\,344(17)(100) cm1^{-1} determined in non-relativistic quantum electrodynamic calculations V. Korobov, L. Hilico and J.-Ph. Karr, Phys. Rev. Lett. 118, 233001 (2017) http://doi.org/10.1103/PhysRevLett.118.233001

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