林德哈德通用函数描述原子粒子散射截面的应用

П. Ю. Бабенко, А. Н. Зиновьев
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摘要

结果表明,在计算原子粒子散射截面时,通用林德哈德函数的应用通常局限于散射角小于20厘米的区域。对各种常用相互作用势的计算结果与已有的实验数据进行了比较。结果表明,散射中非弹性通道的存在导致散射截面出现附加的极大值。建议使用通用Lindhard函数来描述区域内的准弹性散射,其中:①为减少的冲击能,②为散射角。在高能量下,用屏蔽的库仑势可以很好地描述散射,应用Lindhard函数计算散射截面的精度为10%。
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О применимости универсальной функции Линдхарда для описания сечений рассеяния атомных частиц
It is shown that the application of the universal Lindhard function for calculating the scattering cross section of atomic particles is, as a rule, limited to the region of scattering angles less than 20. The results obtained for various popular interaction potentials are compared with the available experimental data. It is shown that the presence of inelastic channels in scattering leads to the appearance of additional maxima in the scattering cross section. Recommendations are given on the use of the universal Lindhard function to describe quasi-elastic scattering in the region =·sin(/2)>0.01,  is the reduced impact energy,  is the scattering angle. At high energies, the scattering is well described by screened Coulomb potentials, and the application of the Lindhard function provides an accuracy of 10% for calculating the scattering cross sections.
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