Frequency uncertainty estimation for the 40CaH+ vibrational transition frequencies observed by Raman excitation

Abstract

This paper gives estimates of the attainable frequency uncertainty in the 40CaH+ X1Σ(v, J) = (0, 0) → (vu, 0)(vu = 1, 2, 3, 4) transition frequencies when these transitions are observed by Raman excitation. Using the Raman lasers in the far-off resonant frequency area (<15 000 cm−1), the (0, 0) → (1, 0) transition is much more advantageous to measure with small Stark shift than overtone vibrational transitions. In the quasi-resonant area, solutions of Raman laser frequencies exist where the Stark shift is nulled (magic Raman frequencies). The vibrational transition frequency can be measured with uncertainty lower than 10−16, and can be used to test the variation in the proton-to-electron mass ratio.