s -wave scattering length of a Gaussian potential

Determination of the s-wave scattering length of chromium.

We have measured the deca-triplet s-wave scattering length of the bosonic chromium isotopes 52Cr and 50Cr. From the time constants for cross-dimensional thermalization in ultracold atomic samples, we have determined the magnitudes |a(52Cr)|=(170+/-39)a(0) and |a(50Cr)|=(40+/-15)a(0), where a(0)=0.053 nm. By measuring the rethermalization rate of 52Cr over a wide temperature range and comparing ...

Spectroscopic determination of the s-wave scattering length of lithium.

E. R. I. Abraham, W. I. McAlexander, C. A. Sackett, and Randall G. Hulet Physics Department and Rice Quantum Institute, Rice University, Houston, Texas 77251-1892 (Received 2 September 1994) Two-photon photoassociation of colliding ultracold Li atoms is used to probe the Su sad ground state of Li2. The binding energy of the least-bound state of this triplet potential, y ­ 10, is found to be 12....

Rapid, accurate calculation of the s-wave scattering length.

Transformation of the conventional radial Schrödinger equation defined on the interval r ∈ [0, ∞) into an equivalent form defined on the finite domain y(r) ∈ [a, b]  allows the s-wave scattering length a(s) to be exactly expressed in terms of a logarithmic derivative of the transformed wave function φ(y) at the outer boundary point y = b, which corresponds to r = ∞. In particular, for an arbitr...

S-matrix for s-wave gravitational scattering

In the s-wave approximation the 4D Einstein gravity with scalar fields can be reduced to an effective 2D dilaton gravity coupled nonminimally to the matter fields. We study the leading order (tree level) vertices. The 4-particle matrix element is calculated explicitly. It is interpreted as scattering with formation of a virtual black hole state. As one novel feature we predict the gravitational...

S-wave scattering of strangeness -3 baryons