超低温下钠原子散射特性研究

摘要

The calculations of the elastic scattering properties for collisions between two 23 Na atoms at ultracold temperatures are reported and compared with experimental and theoretical results in the detail.We present a parametric model potential for the triplet molecular state of the 23 Na molecule,and calculate the scattering length at and the effective range re by using the semiclassical and Numerov methods,respectively.The shape resonances occur in the collisions at low energies,and resonance positions and widths are computed by Briet Wigner formula.In addition,we also present other results that include differential cross sections at zero energy limit.%超低温下钠原子的散射特性对原子间的相互作用势非常敏感.本文基于构造精确的原子间相互作用势,详细研究了在超冷温度下处在超精细态|F=2,mF=2〉下23Na原子的弹性散射特性.我们分别用Numerov和半经典方法计算了散射长度和有效程,得到了较满意的结果.低能散射截面有丰富的共振现象产生,我们发现并给出了d-波和g-波形状共振的能级位置和共振宽度;此外,我们还对仅两个分波有贡献情况下的微分散射截面进行了理论计算.