1997/03/19 by Alfred Stadler, Franz Gross, Michael Frank +1 · 1 citation
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.56.2396
published as Phys.Rev.C56:2396,1997 · 57 pages, RevTeX, 6 figures, uses epsf.sty
arxiv created 1997/03/19 · openalex publication_date 1997/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The covariant spectator (or Gross) equations for the bound state of three identical spin-1/2 particles, in which two of the three interacting particles are always on shell, are developed and reduced to a form suitable for numerical solution. The equations are first written in operator form and compared to the Bethe-Salpeter equation, then expanded into plane wave momentum states, and finally expanded into partial waves using the three-body helicity formalism first introduced by Wick. In order to solve the equations, the two-body scattering amplitudes must be boosted from the overall three-body rest frame to their individual two-body rest frames, and all effects which arise from these boosts, including the Wigner rotations and \ensuremathρ-spin decomposition of the off-shell particle, are treated exactly. In their final form, the equations reduce to a coupled set of Faddeev-like double integral equations with additional channels arising from the negative \ensuremathρ-spin states of the off-shell particle.