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First Order Relativistic Three-Body Scattering
Journal article   Open access   Peer reviewed

First Order Relativistic Three-Body Scattering

T Lin, Ch Elster, W. N Polyzou and W Gloeckle
Physical review. C, Nuclear physics, Vol.76(1), 014010
07/31/2007
DOI: 10.1103/PhysRevC.76.014010
url
https://arxiv.org/pdf/nucl-th/0702005View
Open Access

Abstract

Phys.Rev.C76:014010,2007 Relativistic Faddeev equations for three-body scattering at arbitrary energies are formulated in momentum space and in first order in the two-body transition-operator directly solved in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated within the framework of Poincare invariant quantum mechanics, and presented in some detail. Based on a Malfliet-Tjon type interaction, observables for elastic and break-up scattering are calculated up to projectile energies of 1 GeV. The influence of kinematic and dynamic relativistic effects on those observables is systematically studied. Approximations to the two-body interaction embedded in the three-particle space are compared to the exact treatment.
Physics - Nuclear Theory

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