CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1993, Vol. 10 ›› Issue (4): 385-395.

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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

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