Numerical Methods in Configuration-Space A = 3, 4 Bound-State and Scattering Calculations
In earlier work  we presented an efficient method for solving the three-body Faddeev equations in configuration space, based on the spline method first introduced by Payne et al.  Recently, we have extended this method so that almost any (nonrelativistic) three-body system imaginable can be handled. We have performed highly accurate calculations for simple model potentials, realistic nucleon-nucleon interactions (including the tensor force), nonlocal potentials, and discontinuous potentials. The efficiency is accomplished by the use of direct product representations where possible, greatly reducing the amount of storage and the amount of computer time required. The flexibility stems from the use of cartesian coordinates, in addition to the traditional polar coordinates, and transforming from one to the other when necessary, thus combining the advantages of both coordinate systems.
KeywordsFaddeev Equation Spline Method Tensor Force Permutation Operator Natural Coordinate System
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