高能重带电粒子束平均能量计算的一个简单公式

A SIMPLE FORMULA FOR THE MEAN ENERGY CALCULATION OF HIGH-ENERGY HEAVY CHARGED PARTICLE BEAMS

本文提出了一个计算高能重带电粒子束平均能量的简单公式。在计算重带电粒子放射治疗剂量时，用此公式可获得与平均能量有关的物理量的解析表达式。用此公式计算了入射铝内１０－ＭｅＶ的质子束的平均能量，并与相应的实验数据作了比较。比较表明，本文提出的公式在相当大的能量范围内能够精确地预言重带电粒子的平均能量。此外，还计算了在水中１００－ＭｅＶ、１５０－ＭｅＶ和２００－ＭｅＶ的质子束的平均能量。

A simple formula for the mean energy calculation of high-energy heavycharged particles is presented in this pepes.This formula makes it possible toobtain the analytical expressions of the physical quantities which are concernedwith mean energy in the dose algorithm ofheavy charged particle radiotherapy. The mean energy for 10-MeV proton beam penetrating in aluminium is calculatedby using this formula, and compared with corresponding experimental data,Thecomparison shows that the formula can precisely predict the mean energy ofheavy charged particles in a rather large energy range. Moreover,the mean en-ergies for 100-MeV, 150-MeV and 200-MeV proton beams in water are also cal-culated.