Three-body scattering in Poincaré invariant quantum mechanics
arXiv:0711.1635 · doi:10.1007/s00601-008-0310-y
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.
4 pages - no figures - contribution to the 20-th European Few-Body Conference