Preprint
Poincaré Invariant Three-Body Scattering at Intermediate Energies
arXiv.org, Vol.78(2)
Cornell University Library, arXiv.org
08/01/2008
DOI: 10.48550/arXiv.0801.3210
Abstract
The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. The equation is solved through Padé summation, and the numerical feasibility and stability of the solution is demonstrated. Relativistic invariance is achieved by constructing a dynamical unitary representation of the Poincaré group on the three-nucleon Hilbert space. Based on a Malfliet-Tjon type interaction, observables for elastic and break-up scattering are calculated for projectile energies in the intermediate energy range up to 2 GeV, and compared to their nonrelativistic counterparts. The convergence of the multiple scattering series is investigated as a function of the projectile energy in different scattering observables and configurations. Approximations to the two-body interaction embedded in the three-particle space are compared to the exact treatment.
Details
- Title: Subtitle
- Poincaré Invariant Three-Body Scattering at Intermediate Energies
- Creators
- T Lin - Ohio University LancasterCh Elster - Ohio University LancasterW Polyzou - University of IowaH WitalaW Gloeckle
- Resource Type
- Preprint
- Publication Details
- arXiv.org, Vol.78(2)
- DOI
- 10.48550/arXiv.0801.3210
- ISSN
- 0556-2813
- eISSN
- 2331-8422
- Publisher
- Cornell University Library, arXiv.org; Ithaca
- Language
- English
- Date posted
- 08/01/2008
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984385035202771
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