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

Pedro Amaro, Beatrice Franke, Julian J. Krauth, Marc Diepold, Filippo Fratini, Laleh Safari, Jorge Machado, Aldo Antognini, Franz Kottmann, Paul Indelicato, Randolf Pohl, and José Paulo Santos
Phys. Rev. A 92, 022514 – Published 28 August 2015

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.

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  • Received 9 June 2015

DOI:https://doi.org/10.1103/PhysRevA.92.022514

©2015 American Physical Society

Authors & Affiliations

Pedro Amaro1,*, Beatrice Franke2,†, Julian J. Krauth2, Marc Diepold2, Filippo Fratini3, Laleh Safari4, Jorge Machado1,5, Aldo Antognini6,7, Franz Kottmann6, Paul Indelicato5, Randolf Pohl2, and José Paulo Santos1

  • 1Laboratório de Instrumentação, Engenharia Biomédica e Física da Radiação (LIBPhys-UNL), Departamento de Física, Faculdade de Ciências e Tecnologia, FCT, Universidade Nova de Lisboa, P-2829-516 Caparica, Portugal
  • 2Max-Planck-Institute of Quantum Optics, D-85748 Garching, Germany
  • 3Atominstitut, Vienna University of Technology, A-1020 Vienna, Austria
  • 4Institute of Science and Technology, IST, Austria, Am Campus 1, 3400 Klosterneuburg, Austria
  • 5Laboratoire Kastler Brossel, École Normale Supérieure, CNRS, Université P. et M. Curie – Paris 6, Case 74; 4, Place Jussieu, F-75252 Paris CEDEX 05, France
  • 6Institute for Particle Physics, ETH Zurich, CH-8093 Zurich, Switzerland
  • 7Paul Scherrer Institute, CH-5232 Villigen-PSI, Switzerland

  • *pdamaro@fct.unl.pt
  • beatrice.franke@mpq.mpg.de

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Vol. 92, Iss. 2 — August 2015

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