Quantum interference effects in laser spectroscopy of muonic hydrogen, deuterium, and helium-3

Abstract

Quantum interference between energetically close states is theoretically investigated, with the state structure being observed via laser spectroscopy. In this work, we focus on hyperfine states of selected hydrogenic muonic isotopes, and on how quantum interference affects the measured Lamb shift. The process of photon excitation and subsequent photon decay is implemented within the framework of nonrelativistic second-order perturbation theory. Due to its experimental interest, calculations are performed for muonic hydrogen, deuterium, and helium-3. We restrict our analysis to the case of photon scattering by incident linear polarized photons and the polarization of the scattered photons not being observed. We conclude that while quantum interference effects can be safely neglected in muonic hydrogen and helium-3, in the case of muonic deuterium there are resonances with close proximity, where quantum interference effects can induce shifts up to a few percent of the linewidth, assuming a pointlike detector. However, by taking into account the geometry of the setup used by the CREMA collaboration, this effect is reduced to less than 0.2% of the linewidth in all possible cases, which makes it irrelevant at the present level of accuracy.

8 pages, 4 Figs. Shorter version as recommended by the referee. More details can be found in v1

References in corpus (6)

• Lamb Shift of Laser-Dressed Atomic States
• Relativistic polarization analysis of Rayleigh scattering by atomic hydrogen
• Improved X-ray detection and particle identification with avalanche photodiodes
• Multipass laser cavity for efficient transverse illumination of an elongated volume
• Angular and polarization analysis for two-photon decay of 2s hyperfine states of hydrogenlike Uranium
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• Interference between two resonant transitions with distinct initial and final states connected by radiative decay
• Quantum interference in laser spectroscopy of highly charged lithiumlike ions
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• Analysis of nonresonant effects in the two-photon spectroscopy of helium
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• Theoretical prerequisites for the upcoming generation of precision spectroscopic experiments
• Laser excitation of the 1s-hyperfine transition in muonic hydrogen
• Reassessment of line profile asymmetry in measurements of the 1s-2s energy interval in hydrogen