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arXiv · 0711.1635

Three-body scattering in Poincaré invariant quantum mechanics

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

The relativistic three-nucleon problem is formulated by constructing a dynamical unitary representation of the Poincaré group on the three-nucleon Hilbert space. Two-body interactions are included that preserve the Poincaré symmetry, lead to the same invariant two-body S-matrix as the corresponding non-relativistic problem, and result in a three-body S-matrix satisfying cluster properties. The resulting Faddeev equations are solved by direct integration, without partial waves for both elastic and breakup reactions at laboratory energies up to 2 Gev.

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W. N. Polyzou, Ch. Elster, T. Lin, W. Glöckle. 2007-11-11. Three-body scattering in Poincaré invariant quantum mechanics. https://doi.org/10.1007/s00601-008-0310-y

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