Three-body scattering in Poincaré invariant quantum mechanics

Details Three-body scattering in Poincaré invariant quantum mechanics Three-body scattering in Poincaré invariant quantum mechanics

2007-11-11

arxiv.org/abs/0711.1635v1

Few Body Syst.44:287-289,2008

Physics

Nuclear Physics

Nuclear Theory

4 pages - no figures - contribution to the 20-th European Few-Body Conference

Scientific paper

10.1007/s00601-008-0310-y

The relativistic three-nucleon problem is formulated by constructing a dynamical unitary representation of the Poincar\'e group on the three-nucleon Hilbert space. Two-body interactions are included that preserve the Poincar\'e 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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