Department of Physics and JILA, University of Colorado, Boulder, Colorado 80309, USA.
Phys Rev Lett. 2009 Oct 9;103(15):153201. doi: 10.1103/PhysRevLett.103.153201.
Formulas for the cross section and event rate constant describing recombination of N particles are derived in terms of general S-matrix elements. Our result immediately yields the generalized Wigner threshold scaling for the recombination of N bosons. A semianalytical formula encapsulates the overall scaling with energy and scattering length, as well as resonant modifications by the presence of N-body states near the threshold collision energy in the entrance channel. We then apply our model to the case of four-boson recombination into an Efimov trimer and a free atom.
本文推导出了描述 N 粒子复合的截面和事件率常数的公式，这些公式是基于一般的 S 矩阵元。我们的结果立即给出了 N 玻色子复合的广义维格纳阈标度。一个半解析公式概括了与能量和散射长度的整体标度，以及在入口通道中阈值碰撞能附近存在 N 体态时的共振修正。然后，我们将我们的模型应用于四玻色子复合为埃弗雷特三体和自由原子的情况。
