1203.1285 (Asaf Paris-Mandoki et al.)

Analytical results for the Morse potential in s-wave ultracold
scattering: three dimensional vs. one dimensional problem    [PDF]

Asaf Paris-Mandoki, Rocío Jáuregui

Taking advantage of the known analytic expression of the eigenfunctions and eigenenergies of the Morse Hamiltonian, explicit expressions are found for the scattering length $a$ and the effective range $r_e$ which determine the s-wave scattering of ultracold atoms. The effects on $a$ and $r_e$ of considering the radial coordinate in the interval $[0,\infty)$ or in the extended region $(-\infty, \infty)$ are studied in detail.

View original: http://arxiv.org/abs/1203.1285