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HK: Physik der Hadronen und Kerne
HK 8: Theorie II
HK 8.4: Vortrag
Montag, 20. März 2000, 17:30–17:45, B 81
Few-Body Calculations - An Approach without Partial Waves — •Ch. Elster1, W. Schadow2, and W. Glöckle3 — 1FZ-Jülich and Ohio University — 2Triumf, CA — 3Ruhr-Universität Bochum
Nuclear scattering at intermediate energies of a few hundred MeV requires quite a few angular momentum states in order to achieve convergence of e.g. scattering observables. Presently employed computational methods for 3N scattering at higher energies using conventional partial wave expansions have intrinsic limitations, since with increasing energy the number of channel quantum numbers strongly proliferates, leading to increasing numerical difficulties wit respect to accuracy and storage requirements. This work represents an alternative computational approach by solving the Faddeev equations directly in a three-dimensional (3D) form in momentum space as function of momentum vectors and the angles between the vectors. The incorporation of the boundary conditions for three-body scattering does not change for 3D solutions of Faddeev equations. In the integral form in momentum space employed here, they are automatically included. Results for three identical particles (neglecting spin degrees of freedom) are presented for the bound state, and scattering below and above the breakup threshold.