Reduction of relativistic three-body kinematics

Details Reduction of relativistic three-body kinematics Reduction of relativistic three-body kinematics

1999-05-17

arxiv.org/abs/hep-th/9905119v4

Int.J.Theor.Phys.42:1809-1834,2003

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 28 pages. Presentation improved; many points clarified. Several misprints and the expression for $\Gamma (0)$ are

Scientific paper

10.1023/A:1026143624130

The Klein-Gordon system describing three scalar particles without interaction is cast into a new form, by transformation of the momenta. Two redundant degrees of freedom are eliminated; we are left with a covariant equation for a reduced wave function with three-dimensional arguments. This new formulation of the mass-shell constraints is equivalent to the original KG system in a sector characterized by positivity of the energies and, if the mass differences are not too large, by a moderately relativistic regime. Then, mutual interaction is introduced and produces a tractable model.

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