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Method for three-body equations

1975; American Institute of Physics; Volume: 12; Issue: 4 Linguagem: Inglês

10.1103/physrevc.12.1152

1538-4497

Sadhan K. Adhikari, Ian H. Sloan,

Mathematical functions and polynomials

A recently proposed degenerate-kernel scheme for solving Fredholm integral equations of the second kind gave very good results for Lippmann-Schwinger equations. The method is here extended to give a very simple and practical method for the three-body equations with separable two-body interactions. Numerical calculations of the three-body amplitudes are carried out at positive energies for two simple models. In spite of the more complicated singularities in the kernel as well as in the solutions of the equation, satisfactory convergence is achieved.NUCLEAR REACTIONS Faddeev equation solved. Degenerate kernel scheme used.