数学物理学报 ›› 1982, Vol. 2 ›› Issue (3): 291-302.

• 论文 • 上一篇    下一篇

A CONTOUR INTEGRATION METHOD FOR SOLVING THE FADDEEV EQUATION

蔡仁泰, 储连元, 代能雄   

  1. Institute of Atomic Eneregy, Beijing
  • 收稿日期:1981-08-12 出版日期:1982-09-26 发布日期:1982-09-26

A CONTOUR INTEGRATION METHOD FOR SOLVING THE FADDEEV EQUATION

Cai Rentai, Chu Lianyuan, Dai Nengxiong   

  1. Institute of Atomic Eneregy, Beijing
  • Received:1981-08-12 Online:1982-09-26 Published:1982-09-26

摘要: We have found a contour for integration of Faddeev equation which is differ ent from the contour given by Cahill and Sloan. The essential point of our method is that a better mathematical expression of the kernel function for the Faddeev equation is given. With this expression, the values of the function in the neighbourhood of the origin can be calculated, whatever the values of l are. In the work of Cahill and Slcan only l=0, 1, 2, 3 can be rigorously calculated, but in this paper, we can calculate for l=0, 1、2,……, 8 rigorously.

Abstract: We have found a contour for integration of Faddeev equation which is differ ent from the contour given by Cahill and Sloan. The essential point of our method is that a better mathematical expression of the kernel function for the Faddeev equation is given. With this expression, the values of the function in the neighbourhood of the origin can be calculated, whatever the values of l are. In the work of Cahill and Slcan only l=0, 1, 2, 3 can be rigorously calculated, but in this paper, we can calculate for l=0, 1、2,……, 8 rigorously.