中文摘要：

基于精确的原子之间相互作用势，系统研究了钠原子在超冷温度下的弹性散射特性，精确计算了钠原子间碰撞时的S波散射长度、有效力程、P波散射长度以及束缚态数目等散射参数．超冷温度下单重态和三重态原子间的弹性散射截面主要为S波贡献，随着碰撞能量的增加散射截面有丰富的形状共振出现，计算发现单重态和三重态散射截面分别存在显著的f波和i波形状共振．应用简并内态近似方法获得了超精细态相互作用时的S波散射长度，所得结果与精确值比较符合．

英文摘要：

Based on the accurate singlet and triplet state interatomic potentials for Na2, a theoretical study of elastic scattering properties of sodium atoms at ultracold temperatures is reported in this paper. The s-wave scattering length, effective range, the p-wave scatteringlength and the number of bound states are calculated. The singlet and triplet elastic scattering cross section between sodium aotms at ultracold temperatures are dominated by s-wave scattering, and shape resonances occur with collision energy increasing. Thereexist pronounced f-wave and i-wave shape resonances for the singlet and triplet cross section. In addition, s-wave scattering length is calculated by using the degenerate internet state approximation for selected hyperfine states of sodium atoms. The results are in agreement with calculated values obtained by close-coupling method.