Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2008-01-21
Phys.Rev.C78:024002,2008
Physics
Nuclear Physics
Nuclear Theory
16 pages, 13 figures
Scientific paper
10.1103/PhysRevC.78.024002
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 Pad\'e summation, and the numerical feasibility and stability of the solution is demonstrated. Relativistic invariance is achieved by constructing a dynamical unitary representation of the Poincar\'e 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.
Elster Ch.
Gloeckle Walter
Lin Te-Tsung
Polyzou Wayne N.
Witala Henryk
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