Interatomic collisions in a tightly confined Bose gas
  We discuss pair interatomic collisions in a Bose gas tightly confined in one (axial) direction and identify two regimes of scattering. In the quasi2D regime, where the confinement frequency $\omega_0$ greatly exceeds the gas temperature $T$, the scattering rates exhibit 2D features of the particle motion. At temperatures $T\sim\hbar\omega_0$ one has a confinement-dominated 3D regime, where the confinement can change the momentum dependence of the scattering amplitudes. We describe the collision-induced energy exchange between the axial and radial degrees of freedom and analyze recent experiments on thermalization and spin relaxation rates in a tightly (axially) confined gas of Cs atoms. 
D.S. Petrov and G.V. Shlyapnikov