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Multiple scattering of matter waves: An analytic model of the refractive index for atomic and molecular gases

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Lemeshko,  Mikhail
Molecular Physics, Fritz Haber Institute, Max Planck Society;

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Friedrich,  Bretislav
Molecular Physics, Fritz Haber Institute, Max Planck Society;

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Lemeshko, M., & Friedrich, B. (2010). Multiple scattering of matter waves: An analytic model of the refractive index for atomic and molecular gases. Physical Review A, 82, 022711-1-022711-4. doi:10.1103/PhysRevA.82.022711.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0010-F51D-F
Abstract
We present an analytic model of the refractive index for matter waves propagating through atomic or molecular gases. The model, which combines a WKB treatment of the long range attraction with the Fraunhofer model treatment of the short range repulsion, furnishes a refractive index in compelling agreement with recent experiments of Jacquey et al. [Phys. Rev. Lett. 98, 240405 (2007)] on Li atom matter waves passing through dilute noble gases. We show that the diffractive contribution, which arises from scattering by a two dimensional "hard core" of the potential, is essential for obtaining a correct imaginary part of the refractive index.