MULTIPLE SCATTERING OF FAST CHARGED PARTICLES
MULTIPLE SCATTERING OF FAST CHARGED PARTICLES
复制标题
快带电粒子的多次散射
DOI：
10.1103/physrev.76.220
复制
发表时间：
1949
期刊：
影响因子：
--
通讯作者：
W. T. Scott
中科院分区：
文献类型：
--
作者：
H. Snyder;W. T. Scott
本文将带电粒子多重散射理论推广到适用于薄箔和快粒子的小角近似。该扩展包括一个精确的解的积分扩散方程的相关概率的横向和角位移，和数值积分的角分布所得到的表达式。为了简单起见，我们使用了散射在平面上的投影。结果用无量纲变量η η 0和z λ表示，η 0和z λ分别代表由屏蔽确定的小单位的偏转角和散射平均自由程的箔片厚度。对z λ从100到84，000的数值和η η 0的适当范围进行了数值计算，并提供了表格。给出了几个z λ值的曲线。匹配之间的近似高斯结果为小角度和卢瑟福单散射结果有效的大角度。新的结果与这些极限值中的每一个的偏差在很宽的角度范围内是相当大的。给出了大η时的显式渐近公式，并给出了单次散射公式的修正项.
The theory of multiple scattering of charged particles has been extended in the small-angle approximation valid for thin foils and fast particles. The extension consists of an exact solution of the integral diffusion equation for the correlated probabilities of lateral and angular displacements, and the numerical integration of the resulting expression for the angular distribution. The projection of the scattering on a plane has been used for simplicity. The results are expressed in terms of dimensionless variables η η 0 and z λ representing respectively the deflection angle in terms of a small unit determined by the screening, and the foil thickness in terms of the mean free path for scattering. Numerical calculations for values of z λ from 100 to 84,000, and for an adequate range of η η 0, have been carried out, and tables have been made available. Curves are presented for a few values of z λ. The matching is shown between the approximately Gaussian result for small angles and the Rutherford single scattering result valid for large angles. The deviations of the new results from each of these limiting values is quite large over a wide range of angle. An explicit asymptotic formula for large η is given, showing correction terms to the single scattering formula.