2007/02/28 by T. Lin, Ting Lin, Ch. Elster +3 · 1 citation
Physics and Astronomy · #Classical mechanics #Energy–momentum relation #Faddeev equations #High-Energy Particle Collisions Research #Invariant mass #Kinematics #Mathematical physics #Nuclear physics research studies #Observable #Operator (biology) #Physics #Position and momentum space #Projectile #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum dynamics #Quantum mechanics #Relativistic mechanics #Relativistic particle #Relativistic quantum mechanics #Scattering #Theory of relativity #nucl-th
paper · pdf · doi:10.1103/physrevc.76.014010
published as Phys.Rev.C76:014010,2007 · 26 pages, 13 figures
arxiv created 2007/06/25 · openalex publication_date 2007/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Relativistic Faddeev equations for three-body scattering at arbitrary energies are formulated in momentum space and in first order in the two-body transition operator directly solved in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated within the framework of Poincar'e invariant quantum mechanics and presented in some detail. Based on a Malfliet-Tjon-type interaction, observables for elastic and breakup scattering are calculated up to projectile energies of 1 GeV. The influence of kinematic and dynamic relativistic effects on those observables is systematically studied. Approximations to the two-body interaction embedded in the three-particle space are compared to the exact treatment.