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应用科学学报 ›› 1988, Vol. 6 ›› Issue (2): 163-168.

• 论文 • 上一篇    下一篇

晶格对正电子湮没的影响的讨论

黄效吾1, 林子敬2, 汪克林2   

  1. 1. 安徽大学;
    2. 中国科学技术大学
  • 收稿日期:1985-01-05 修回日期:1985-06-17 出版日期:1988-06-30 发布日期:1988-06-30

DISCUSSION ABOUT THE EFFECTS OF CRYSTAL LATTICE ON POSITRON ANNIHILATION

HUANG XIAOWU1, LIN ZIJING2, WANG KELIN2   

  1. 1. Anhui University;
    2. University of Science and Technology of China
  • Received:1985-01-05 Revised:1985-06-17 Online:1988-06-30 Published:1988-06-30

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摘要： 本文利用Green函数方法,研究包含有晶格与电子以及正电子相互作用线的一阶梯形图,在取电子与正电子间有效位势为静态极限下,对有关的低阶Feynman图作了计算,从而得出p>pF的正电子部分湮没速率公式,由此进行了数值计算.并与Hede-Cartotte的理论结果作了比较与讨论.

Abstract: In this paper, we use Green's function method to study the first-order ladder graphs which include lattice-electron and lattice-positron interaction lines. We calculate some low order Feynman graphs in taking the static limit for electron-positron effective interaction potential, and obtain the formula of partial annihilation rate of the positron for p>pF. Furthermore, we make some numerical calculations, and discuss and compare them with the results of Hede-Carbotte's theory.