带电粒子射程Bethe方程的近似解析解
其他凝聚态物理
2009-02-11 v2 核实验
加速器物理
摘要
通过进行泰勒展开或多项式近似，可以解析积分物质中带电粒子阻止本领的Bethe方程，从而在连续减速近似下得到带电粒子的射程。射程与参考数据在Bethe模型的预期精度内吻合。在非相对论极限下，能量沉积率也通过解析方法得到。这些解析关系可用于补充和验证包含更详细物理的数值解。
引用
@article{arxiv.0901.4145,
title = {Approximate, analytic solutions of the Bethe equation for charged particle range},
author = {Damian C. Swift and James M. McNaney},
journal= {arXiv preprint arXiv:0901.4145},
year = {2009}
}
备注
Work performed in the process of developing (p,n) neutron sources. It seems surprising that such solutions have not been found previously, but we have not so far found any reported. We would be grateful for comments from anyone more knowledgeable in the field. V2: More elegant scaling factors, several typos fixed