Poincaré Invariant Three-Body Scattering at Intermediate Energies

Ch. Elster, T. Lin, W.N. Polyzou, W. Glöckle
2010 EPJ Web of Conferences  
The Faddeev equation for three-nucleon scattering, based on an exactly Poincaré invariant formulation of quantum mechanics, is solved for projectile energies up to 2 GeV. As in the non-relativistic three-body problem, the three-body dynamics is determined, up to three-body interactions, by the two-body dynamics and cluster properties. The two-body interactions are determined, up to a unitary scattering equivalence, by two-body scattering data, which in our application is generated by a
more » ... rated by a non-relativistic Malfliet-Tjon interaction. The Faddeev equation is directly solved in a kinematic momentum representation without employing a partial-wave decomposition. The solution of Faddeev equation is generated using Padé summation, and the numerical feasibility and stability of the solution is demonstrated. Scattering 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 non-relativistic counterparts. The convergence of the multiple scattering series is investigated as a function of the projectile energy in different scattering observables and configurations. The complementary roles of kinematic and dynamical contributions to our Poincaré invariant model are investigated. Approximations to the two-body interaction embedded in the three-particle space are compared to the exact treatment.
doi:10.1051/epjconf/20100305005 fatcat:ya6wxqpqe5cy7gn4k7wylicgjq