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- W2228264886 abstract "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 $ensuremath{rho}$-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 $ensuremath{rho}$-spin states of the off-shell particle." @default.
- W2228264886 created "2016-06-24" @default.
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- W2228264886 date "1997-11-01" @default.
- W2228264886 modified "2023-10-18" @default.
- W2228264886 title "Covariant equations for the three-body bound state" @default.
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- W2228264886 doi "https://doi.org/10.1103/physrevc.56.2396" @default.
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