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- W2063363305 abstract "A new procedure is proposed for constructing the partial-wave $S$ matrix, given its left-hand-cut discontinuity $ensuremath{lambda}(m)$ ($m=ensuremath{-}2mathrm{ik}$, where $k$ is the c.m. momentum). The advantage over the $frac{N}{D}$ method is that this procedure works even when $ensuremath{lambda}(m)$ is unbounded as $mensuremath{rightarrow}ensuremath{infty}$ (provided that it oscillates in a suitable way); in fact, the new technique works even when $ensuremath{lambda}(m)$ is not bounded by any finite power of $m$, so that not only does the usual $frac{N}{D}$ decomposition break down, but there exists no partial-wave dispersion relation with a finite number of subtractions. An equivalent potential is introduced that provides considerable insight into the nature of elementary-particle, bound-state, ghost, and Castillejo-Dalitz-Dyson poles. The method is generalized to include inelastic effects." @default.
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- W2063363305 date "1969-09-25" @default.
- W2063363305 modified "2023-09-23" @default.
- W2063363305 title "Construction of theSMatrix from Its Left-Hand-Cut Discontinuity, When the Latter is Asymptotically Unbounded" @default.
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- W2063363305 doi "https://doi.org/10.1103/physrev.185.1702" @default.
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