计算物理 ›› 1993, Vol. 10 ›› Issue (4): 385-395.

• 论文 •    下一篇

连续谱Faddeev积分方程的新解法

张天元, 莫俊永   

  1. 应用物理与计算数学研究所, 北京 100088
  • 收稿日期:1991-12-11 修回日期:1993-02-02 出版日期:1993-12-25 发布日期:1993-12-25

A NEW APPROACH TO FADDEEV INTEGRAL EQUATIONS WITH CONTINUOUS SPECTRUM

Zhang Tianyuan, Mo Junyong   

  1. Institute of Applied Physics and Computational Mathematics P.O.Box 8009, Beijing 100088
  • Received:1991-12-11 Revised:1993-02-02 Online:1993-12-25 Published:1993-12-25

摘要: 在动量空间中具有定域势的Faddeev方程是二维积分方程,在破裂过程和三体散射一类的连续谱情况下,方程的积分核是奇异的。本文根据奇异积分方程一般理论提出一种求解二维方程的数值方法。实践证明数值解是收敛的,全运动学微分截面的计算值与实验数据十分符合。

关键词: 三体问题, Faddeev方程, 奇异积分方程, 奇异积分方程的指标, 全运动学

Abstract: Faddeev equations with local potentials in the momentum space are two-variable integral equations whose kernels have singularities in the case of break-up proceses and three-body scattering. In the frame of singular integral equation theory a numerical technique for solving the two-variable equations is presented. The practice shows that numerical solutions converge. Differential Cross-sections for complete kinematics are obtained. It is clear that the aqreement between the theoretical results and the experimental ones is very well.

Key words: three-body problem, Faddeev equation, singular integral equation, inkex of a singular equation, complete kinematics