Tests of time independence of the electron and nuclear masses with ultracold molecules

Physics

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Rotation, Vibration, And Vibration-Rotation Constants, Experimental Tests Of Gravitational Theories

Scientific paper

We propose to use laser spectroscopy of ultracold molecules to establish improved limits on the time independence of electron-to-nuclear and nuclear-nuclear mass ratios by comparing, via an optical frequency comb, the frequencies of suitable sets of transitions in the ground electronic state. Hydrogen molecular ions trapped in a radiofrequency trap, sympathetically cooled by atomic ions, are identified as an accessible system. We show that the dipole-allowed rovibrational transition frequencies of H D+ are suitable probes for a time dependence of me / mp or mp / md . Separate bounds on the time independence of these constants can be obtained from a comparison of H D+ and H+2 transitions frequencies. Spectroscopy of single molecular ions via a quantum jump method is proposed as an approach toward ultrahigh precision.

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