We have performed the first detailed calculation of the index of refraction of a gas (argon) for an atomic wave (sodium). The index depends rapidly on the wave vector k r describing the relative motion and exhibits two interesting effects: Breit-Wigner-type resonances at very low k r values, and intense glory oscillations over a large range of k r values. A recent experiment has measured this index of refraction, and our calculation using a very accurate sodium-argon potential and taking into account the thermal motion of argon, agrees quite well with the experimental result.
We have measured the index of refraction for sodium de Broglie waves in gases of Ar, Kr, Xe, and N2 over a wide range of sodium velocities. We observe glory oscillations--a velocity-dependent oscillation in the forward scattering amplitude. An atom interferometer was used to observe glory oscillations in the phase shift caused by the collision, which are larger than glory oscillations observed in the cross section. The glory oscillations depend sensitively on the shape of the interatomic potential, allowing us to discriminate among various predictions for these potentials, none of which completely agrees with our measurements.