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arXiv · 0801.3210

Poincaré Invariant Three-Body Scattering at Intermediate Energies

T. Lin·Ch. Elster·W. N. Polyzou·H. Witala·W. Gloeckle
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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.

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T. Lin, Ch. Elster, W. N. Polyzou, H. Witala, W. Gloeckle. 2008-01-21. Poincaré Invariant Three-Body Scattering at Intermediate Energies. https://doi.org/10.1103/physrevc.78.024002

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