Granger Brian E, Blume D
ITAMP, Harvard-Smithsonian CFA, Cambridge, Massachusetts 02138, USA.
Phys Rev Lett. 2004 Apr 2;92(13):133202. doi: 10.1103/PhysRevLett.92.133202.
We develop a multichannel scattering theory for atom-atom collisions in quasi-1D geometries. We apply our general framework to the low energy scattering of two spin-polarized fermions and show that tightly confined fermions have infinitely strong interactions at a particular value of the 3D, free-space p-wave scattering volume. Moreover, we describe a mapping of this strongly interacting system of two quasi-1D fermions to a weakly interacting system of two 1D bosons.
我们针对准一维几何结构中的原子-原子碰撞发展了一种多通道散射理论。我们将我们的通用框架应用于两个自旋极化费米子的低能散射，并表明在三维自由空间p波散射体积的特定值处，紧密束缚的费米子具有无限强的相互作用。此外，我们描述了这个由两个准一维费米子组成的强相互作用系统到由两个一维玻色子组成的弱相互作用系统的映射。
