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First Order Relativistic Three-Body Scattering

T. Lin·Ch. Elster·W. N. Polyzou·W. Gloeckle
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Abstract

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.

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T. Lin, Ch. Elster, W. N. Polyzou, W. Gloeckle. 2007-06-25. First Order Relativistic Three-Body Scattering. https://doi.org/10.1103/physrevc.76.014010

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