A practical relativistic theory of three-body scattering
1975; American Physical Society; Volume: 11; Issue: 9 Linguagem: Inglês
10.1103/physrevd.11.2583
ISSN1538-4500
Autores Tópico(s)X-ray Spectroscopy and Fluorescence Analysis
ResumoA natural and unambiguous generalization of the boundary condition formalism previously proposed by this author is shown to result in a practical set of equations for describing relativistic three-particle scattering. These equations are exactly unitary, and can be readily generalized to the $n$-body case. Applied to the ${0}^{\ensuremath{-}}$ and ${1}^{\ensuremath{-}}$ states of the $3\ensuremath{\pi}$ system ($I=0, 1, 2$), they yield the $\ensuremath{\pi}$ and $\ensuremath{\omega}$ as natural consequences of the $\ensuremath{\pi}\ensuremath{-}\ensuremath{\pi}$ $s$- and $p$-wave phases; there are no spurious predictions. The equations appear ideal for relativistic data analysis.
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