Self-consistent field method and non-self-consistent field method for calculating the positron lifetime

Many methods are used to calculate the positron lifetime, these methods could be divided into two main types. The first method is atomic superposition approximation method and the second one is the so called energy band calculation method. They are also known as the non-self-consistent field method and self-consistent field method respectively. In this paper, we first introduce the two basic methods and then, we take Si as an example and give our calculation results, these results coincide with our latest experimental results, finally, we discuss the advantages and disadvantages of the two methods.     

单晶固体中正电子波函数的计算

介绍了正电子波函数计算的两种基本方法——有限差分方法(FDM)与平面波方法(PW).并以单晶Si为例,计算出正电子的波函数,从而计算出正电子在Si中的密度分布;由该正电子密度,进一步计算出了正电子在Si中的体寿命.计算结果与我们最近的实验结果(220 ps)符合得很好.最后,探讨了这两种方法各自的优缺点.