A New Approach to the 3D Faddeev Equation for Three-Body Scattering

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dc.creatorElster, Ch.
dc.creatorGloeckle, W.
dc.creatorWitala, H.
dc.date2008-07-09
dc.date.accessioned2026-07-07T12:55:07Z
dc.date.available2026-07-07T12:55:07Z
dc.descriptionA novel approach to solve the Faddeev equation for three-body scattering at arbitrary energies is proposed. This approach disentangles the complicated singularity structure of the free three-nucleon propagator leading to the moving and logarithmic singularities in standard treatments. The Faddeev equation is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. In its simplest form the Faddeev equation for identical bosons, which we are using, is an integral equation in five variables, magnitudes of relative momenta and angles. The singularities of the free propagator and the deuteron propagator are now both simple poles in two different momentum variables, and thus can both be integrated with standard techniques.
dc.description8 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0807.1421
dc.identifierhttp://arxiv.org/abs/0807.1421
dc.identifierFew Body Syst.45:1-10,2009
dc.identifierdoi:10.1007/s00601-008-0003-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224160
dc.subjectNuclear Theory
dc.titleA New Approach to the 3D Faddeev Equation for Three-Body Scattering
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