计算物理 ›› 1985, Vol. 2 ›› Issue (1): 116-123.

• 论文 • 上一篇    下一篇

在核物质理论中一个15重积分的化简和计算

申庆彪, 张竞上   

  1. 中国科学院原子能研究所
  • 收稿日期:1981-05-14 修回日期:1984-08-31 出版日期:1985-03-25 发布日期:1985-03-25

THE SIMPLIFICATION AND CALCULATION OF A 15-FOLD INTEGRAL IN NUCLEAR MATTER THEORY

Shen Qing-biao, Zhang Jing-shang   

  1. Institute of Atomic Energy, Academia Sinica
  • Received:1981-05-14 Revised:1984-08-31 Online:1985-03-25 Published:1985-03-25

摘要: 本文讨论了在核物质理论中所出现的受Pauli原理限制的对五个动量矢量的15重积分。首先利用能量守恒和动量守恒条件以及通过适当的变量变换和坐标系的选择,将15重积分化成5重积分,然后再用计算高重积分的数论网格法进行数值计算,并以表格形式在很宽的范围内给出了计算结果。

Abstract: A 15-fold integral over 5 momentum vectors which appears in nuclear matter theory and is subjected to the Pauli principle is discussed. The 15-fold integral is reduced to a 5-fold one due to the energy and momentum conservation and by choosing proper integration variables and the coordinate system. The number theory mesh method is used in the numerical calculations. The calculated results are given in tabular form for very wide range.