Abstract

The cascade multiplication of atoms in a solid target is considered theoretically for different types of scattering cross section. The solution of the transport equation in some cases is found in an analytical form, in others it is reduced to numerical integration. Formulas are obtained for the energy distribution and the total number of cascade atoms, as well as for the total cascade energy as functions of the target depth and the type of atomic interaction. The theoretical results generalize the Landau–Rumer theory of cascade showers to the case of arbitrary types of atomic potentials, from the hard-sphere potential to the Coulomb potential.

中文翻译：

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级联粒子乘法参数对原子势类型的依赖性

摘要

对于不同类型的散射截面，理论上考虑了固体目标中原子的级联倍增。在某些情况下，输运方程的解以解析形式找到，在其他情况下，它被简化为数值积分。获得能量分布和级联原子总数的公式，以及作为目标深度和原子相互作用类型函数的总级联能量的公式。理论结果将级联淋浴的朗道-鲁默理论推广到任意类型的原子势的情况，从硬球势到库仑势。