Abstract
Highly accurate measurements of quantum level energies in molecular systems provide a test ground for new physics, as such effects could manifest themselves as minute shifts in the quantum level structures of atoms and molecules. For the lightest molecular systems, neutral molecular hydrogen (H2, HD and D2) and the molecular hydrogen ions (H+2, HD+ and D+2), weak force effects are several orders weaker than current experimental and theoretical results, while contributions of Newtonian gravity and the strong force at the characteristic molecular distance scale of 1 Å can be safely neglected. Comparisons between experiment and QED calculations for these molecular systems can be interpreted in terms of probing large extra space dimensions, under which gravity could become much stronger than in ordinary 3-D space. Under this assumption, using the spectra of H2 we have derived constraints on the compactification scales for extra dimensions within the Arkani-Hamed-Dimopoulos-Dvali (ADD) framework, and constraints on the brane separation and bulk curvature within the Randall-Sundrum (RS-I and RS-II) frameworks.
Highlights
This presentation is based on work done in collaboration with Bert Schellekens, from the Institute of Subatomic Physics Nikhef (Amsterdam), together with Edcel Salumbides and Wim Ubachs, from the Vrije Universiteit of Amsterdam
The idea is that effects of new physics could manifest themselves as minute shifts in the quantum level structures of atoms and molecules
The results from the variety of experimental precision measurements on both the ionic and neutral hydrogenic molecules are in perfect agreement with the QED-calculations, within combined uncertainty limits from theory and experiment
Summary
Accurate results from precision molecular spectroscopy are exploited to put constraints on some higher-dimensional theories. This makes it possible to derive bounds on possible fifth forces and extra dimensions from molecular precision experiments compared with QED-calculations [2, 3]. The gravitational potential has an effect on the level energy of a molecular quantum state with wave function Ψ(r), written as an expectation value [1]: VADD = Gm1m2
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