Abstract:A "degenerate kernel" approximation technique is suggested for many-channel bootstrap problems. The approximation method reduces the solution of the matrix $N{D}^{\ensuremath{-}1}$ integral equations ...A "degenerate kernel" approximation technique is suggested for many-channel bootstrap problems. The approximation method reduces the solution of the matrix $N{D}^{\ensuremath{-}1}$ integral equations to algebra and is especially suited for problems with complicated self-consistency constraints. It further avoids the substraction-point dependence and lack of symmetry of the conventional "determinantal" approximation to the scattering matrix. The method is applied to the single-channel vector-meson bootstrap problem; the self-consistent solutions are discussed. Finally, it is shown that the scattering matrix obtained from the once substracted matrix $N{D}^{\ensuremath{-}1}$ integral-equation formalism is both symmetric and independent of the subtraction point.Read More
Publication Year: 1964
Publication Date: 1964-08-24
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 25
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