CERN Accelerating science

Article
Report number arXiv:1212.5676
Title Quantum reflection of antihydrogen from the Casimir potential above matter slabs
Author(s) Dufour, G. (Paris, Lab. Kastler Brossel) ; Gerardin, A. (Paris, Lab. Kastler Brossel) ; Guerout, R. (Paris, Lab. Kastler Brossel) ; Lambrecht, A. (Paris, Lab. Kastler Brossel) ; Nesvizhevsky, V.V. (Laue-Langevin Inst.) ; Reynaud, S. (Paris, Lab. Kastler Brossel) ; Voronin, A.Yu. (Lebedev Inst.)
Publication 2013-01-02
Imprint 2012-12
Number of pages 7
In: Phys. Rev. A 87 (2013) 012901
DOI 10.1103/PhysRevA.87.012901
Subject category quant-ph ; General Theoretical Physics
Accelerator/Facility, Experiment CERN AD ; GBAR AD-7
Abstract We study quantum reflection of antihydrogen atoms from matter slabs due to the van der Waals/Casimir-Polder (vdW/CP) potential. By taking into account the specificities of antihydrogen and the optical properties and width of the slabs we calculate realistic estimates for the potential and quantum reflection amplitudes. Next we discuss the paradoxical result of larger reflection coefficients estimated for weaker potentials in terms of the Schwarzian derivative. We analyze the limiting case of reflections at small energies, which are characterized by a scattering length and have interesting applications for trapping and guiding antihydrogen using material walls.

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