2008/01/21 by Ting Lin, T. Lin, Ch. Elster +5 · 4 citations
Physics and Astronomy · #Atomic and Molecular Physics #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevc.78.024002
published as Phys.Rev.C78:024002,2008 · 16 pages, 13 figures
arxiv created 2008/01/21 · openalex publication_date 2008/08/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The Faddeev equation for three-nucleon scattering, based on an exactly Poincar'e invariant formulation of quantum mechanics, is solved for projectile energies up to 2 GeV. As in the nonrelativistic 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 are generated by a nonrelativistic Malfliet-Tjon interaction. The Faddeev equation is directly solved in a kinematic momentum representation without employing a partial-wave decomposition. The solution of the Faddeev equation is generated using Pad'e summation, and the numerical feasibility and stability of the solution is demonstrated. Scattering observables for elastic and breakup scattering are calculated for projectile energies in the intermediate energy range up to 2 GeV, and compared with 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. The complementary roles of kinematic and dynamical contributions to our Poincar'e invariant model are investigated. Approximations to the two-body interaction embedded in the three-particle space are compared with the exact treatment.