Abstract

A comparative study of the total Mott and Bloch correction and the Lindhard−Sørensen correction in the point nucleus approximation to the Bethe stopping formula is performed for the ranges of a gamma factor \(1 \lesssim \gamma \lesssim 10\) and the ion nuclear charge number 6 ≤ Z ≤ 114. It is shown that the accurate calculation of the Mott–Bloch correction based on the Mott exact cross section using a method previously proposed by one of the authors gives excellent agreement between its values and the values of the Lindhard–Sørensen correction in the γ and Z ranges under consideration. It is also demonstrated that the results of stopping power calculations obtained by the two above-mentioned rigorous methods provide the best agreement with experimental data in contrast with the results of approximate methods, such as the methods of Ahlen, Jackson–McCarthy, etc.

中文翻译：

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Lindhard-Sørensen 和 Mott-Bloch 修正对 Bethe 停止公式在中等相对论能量下的比较

摘要

对于伽马因子\(1 \lesssim \gamma \lesssim 10\)和离子的范围，对点核中的总 Mott 和 Bloch 校正和 Lindhard-Sørensen 校正进行比较研究，逼近 Bethe 停止公式核电荷数 6 ≤ Z ≤ 114。 结果表明，使用作者之一先前提出的方法基于 Mott 精确横截面准确计算 Mott-Bloch 校正，使其值与γ 和Z中的 Lindhard-Sørensen 校正考虑范围。还证明了上述两种严格方法的停止能力计算结果与实验数据的一致性最好，与近似方法的结果相比，如Ahlen、Jackson-McCarthy等方法的结果。