Three-Body Bound State Calculations Without Explicit Partial Wave Decomposition
The problem of calculating three-body bound state properties has been tackled by several authors for a considerable time. In the usual approach the partial wave decomposition of the solution is sought, resulting in the reduction of the Faddeev equations to a set of two-dimensional coupled equations, which are easily amenable to numerical solution. This approach yields results which are in good agreement with experiment if only a few partial waves are necessary to describe the system, as for example in nuclear systems. However, for weakly bound systems interacting via a force having a very strong repulsive core it would be necessary to include lots of partial waves resulting in an intractable numerical problem.
KeywordsPartial Wave Collocation Method Tensor Structure Usual Approach Conclusion Table
- 2.N.W. Schellingerhout: Factorizability in the Numerical Few-Body Problem, PhD thesis, University of Gröningen, (1995) [and references therein]Google Scholar