Abstract
This paper discusses, on the basis of symmetric kernels, the possibility of solving three-body problems in a practical way, especially for positive energies. For positive energies, it is concluded that it is preferable to solve the fully connected equation for the three-body wave function rather than the fully connected equation for the three-body t-matrix. This is because in the two-body t- or K-matrix, the Born term is of the same order of magnitude as the rest, and because the eigenfunction expansion of the Born term is slowly converging. It is shown that for positive energies the use of the symmetric kernel of Meetz and Weinberg is not practical. Another symmetric kernel, which yields very good convergence in any positive energy region, is proposed. For negative energies, we may solve either the fully connected t-matrix equation or the fully connected equation for the wave function. The method for separating the elastic channel is written. The validity of pole approximations is discussed.
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