Covariant equations for the three-body bound state
| dc.creator | Stadler, Alfred | |
| dc.creator | Gross, Franz | |
| dc.creator | Frank, Michael | |
| dc.date | 1997-03-19 | |
| dc.date.accessioned | 2026-07-07T11:11:08Z | |
| dc.date.available | 2026-07-07T11:11:08Z | |
| dc.description | 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 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 rho-spin states of the off-shell particle. | |
| dc.description | 57 pages, RevTeX, 6 figures, uses epsf.sty | |
| dc.identifier | https://arxiv.org/abs/nucl-th/9703043 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/9703043 | |
| dc.identifier | Phys.Rev.C56:2396,1997 | |
| dc.identifier | doi:10.1103/PhysRevC.56.2396 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/190992 | |
| dc.subject | Nuclear Theory | |
| dc.title | Covariant equations for the three-body bound state | |
| dc.type | text |