All Items 1 Collection 1 The Octagon 1 Contributor 3 Carollo, Ryan A. (Department of Physics and Astronomy, Amherst College) 1 Frenett, Alexander (Department of Physics and Astronomy, Amherst College) 1 Hanneke, David Andrew (Department of Physics and Astronomy, Amherst College) 1 Topic 2 Molecules--Experiments 1 Vibrational spectra 1 Part Of 1 The Amherst College Octagon 1 Genre 1 Articles 1 Subject 2 Molecules--Experiments 1 Vibrational spectra 1 Two-photon vibrational transitions in ¹⁶O₂⁺ as probes of variation of the proton-to-electron mass ratio Carollo, Ryan A. (Department of Physics and Astronomy, Amherst College) Vibrational overtones in deeply-bound molecules are sensitive probes for variation of the proton-to-electron mass ratio μ. In nonpolar molecules, these overtones may be driven as two-photon transitions. Here, we present procedures for experiments with ¹⁶O⨧ including state-preparation through photoionization, a two-photon probe, and detection. We calculate transition dipole moments between all X²∏g vibrational levels and those of the A²∏ᵤ excited electronic state. Using these dipole moments, we calculate two-photon transition rates and AC-Stark-shift systematics for the overtones. We estimate other systematic effects and statistical precision. Two-photon vibrational transitions in ¹⁶O⨧ provide multiple routes to improved searches for μ variation. Two-photon vibrational transitions in ¹⁶O₂⁺ as probes of variation of the proton-to-electron mass ratio