低能势散射相移函数的逐级近似

The Series Approximation of Phase Shift Function for Low energy Scattering

将散射相移函数δｌ（ ｒ） 的正切ｔｇδｌ（ ｒ） 按波矢ｋ 展开，代入线性化的 Ｆ． Ｃａｌｏｇｅｒｏ 方程，求得各系数的递推关系．以球方势阱及汤川势为例，计算了低能散射相移函数及散射长度。

The tangent of phase of phase shift function δ l(r) is expressed as a power series in wave vector k, and then substituted into the linear F. Calogero equation to get the recurrence relation of the coefficients. The phase shift and scattering length of the spherical square potential well and Yukawa potential scattering for low energy collisions were calculated, which were also compared with the numerical solutions of the different equations.