The non-orthogonality problem of the coupled reaction channels method

Abstract

The coupled reaction channels method is formulated as a two-step procedure. In the first step, the eigenvalue problem of the overlap operator is solved. In the second step, an off-shell transformation is applied to the coupled reaction channels equation. The transformed equation has an energy-independent interaction. Redundant solutions which arise when the test function space is linearly dependent, are removed from the physical part of the spectrum and become positive energy bound states at chosen (unphysical) energies. The non-orthogonality of test functions of different channels is related to the appearance of implicit distortion corrections.

The two- and three-cluster fish bone model with saturation

“…Whenever effective two-cluster interactions are used in more complicated calculations, like a three-cluster bound state calculation, a cluster-transfer calculation [11] or a three-cluster Faddeev calculation [7,12], omission of a threebody potential will spoil the result unless it is negligibly small. In the present first approximation we can, in principle, determine the amount of effective three-body force arising from the Paul/principle and from hard core correlations.…”