推广Bethe公式:Au^(50+)离子的偶极激发的碰撞强度和速率系数

A GENERALIZED BETHE ANALYTIC FORMULA: DIPOLE EXCITED COLLISION STRENGTHS AND CORRESPONDING RATE COEFFICIENTS IN Au 50+ 

快速算法结合推广的Ｂｅｔｈｅ公式，可以为应用研究提供便于使用的偶极激发碰撞强度和速率系数．用准相对论平面波Ｂｏｒｎ（ＱＲＰＢ）近似计算高能区Ａｕ５０＋离子ｎ０ｌ０→ｎｌ偶极激发的碰撞强度，给出Ｂｅｔｈｅ公式中动量转移截断参数ｋ０，从而确定激发过程的高能行为．快速计算方法中采用了Ｃｏｗａｎ所发展的准相对论方法，用统一的ＨａｒｔｒｅｅＦｏｃｋＳｌａｔｅｒ势计算束缚和连续态电子波函数．用准相对论扭曲波（ＱＲＤＷ）近似计算阈值附近的碰撞强度并外推阈值处的碰撞强度Ω０，然后拟合到高能碰撞强度上．对于特殊情况还需增加三倍阈值点ａ的计算，用三个参数Ω０，Ωａ和ｋ０拟合出全能域（出射电子能量εｂ＝０—∞）的碰撞强度．由此可以得到全部温度范围（电子温度Ｔｅ＝０—∞）的速率系数＜σｖ＞．这样得到的Ω和＜σｖ＞，在相应的感兴趣的能量和温度范围内有合理的精度．

AbstractA generalized Bethe analytic formula for dipole excited collision strengths is suggested, in which a cut off k 0 in the momentum transfer, a threshold (via extrapolation) and a thrice threshold of collision strengths for each dipole excited process are calculated quickly based on the quasi relativistic plane wave Born (QRPB) and distorted wave (QRDW) methods respectively. The formula can be applied to moderate and low impact electron energies. As a example, dipole collision strengths and corresponding rate coefficients of Au 50+ are given at all impact energies, which are in agreement with that of a least square spline method. Meanwhile the systems of k 0 in channel n 0l 0→n(l 0+1) are analyzed.