论文标题
Lindhard-Sorensen和Mott-Bloch校正与中等相对论能量处的Bethe停止公式的比较
Comparison of the Lindhard-Sorensen and Mott-Bloch corrections to the Bethe stopping formula at moderately relativistic energies
论文作者
论文摘要
数值计算对伯特停止公式的总莫特 - 布洛克校正和点核近似中的林哈德 - 索伦森校正的结果，以及莫特校正以及林达德·索伦森和bloch校正之间的差异，这些校正是通过某种严格的和近似方法与iion ountion ountion ountion ountion ountion ountion ountion ountion ound of g ama ranga ranga and ranga的差异的差异。 6至114。证明，使用一位作者先前提出的一种方法，基于莫特精确的横截面对Mott-Bloch校正的准确计算在伽马和Z范围内的Lindhard-Sorensen校正值之间具有出色的一致性。此外，证明，通过两种上述严格的严格方法获得的停止功率计算的结果相互重合到第七个重要数字，并提供了与一些近似方法相反的实验数据的最佳一致性，例如Ahlen，Jackson-McCarthy等方法的结果。
The results of numerical calculating the total Mott-Bloch correction to the Bethe stopping formula and the Lindhard-Sorensen correction in the point nucleus approximation, as well as the Mott correction and the difference between the Lindhard-Sorensen and Bloch corrections, which were obtained by some rigorous and approximate methods, are compared for the ranges of a gamma factor of approximately from 1 to 10 and the ion nuclear charge number Z from 6 to 114. It is shown that the accurate calculation of the Mott-Bloch corrections 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-Sorensen corrections in the gamma and Z ranges under consideration. In addition, it is demonstrated that the results of stopping power calculations obtained by the two above-mentioned rigorous methods coincide with each other up to the seventh significant digit and provide the best agreement with experimental data in contrast with the results of some approximate methods, such as the methods of Ahlen, Jackson-McCarthy, etc.
