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- W2003555128 abstract "The model for pion-nucleon scattering proposed by Ball, Frazer, and Nauenberg is solved numerically. This model yields unitary scattering amplitudes while including the effects of $ensuremath{rho}$-meson production and the associated anomalous thresholds. The behavior of the solutions as a function of the width of the $ensuremath{rho}$ meson and the pion-nucleon coupling constant is investigated. Cusps as well as broad peaks are generated in the elastic-scattering amplitude by the $ensuremath{rho}$-meson production. The effects of the complex singularities are investigated in detail by comparison with another treatment of pion-nucleon scattering in which anomalous cuts are absent. Also, the existence of poles on unphysical sheets is studied by means of a simplified model." @default.
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- W2003555128 date "1964-10-26" @default.
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- W2003555128 title "Effect of Unstable Particle Production on Scattering Amplitudes" @default.
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- W2003555128 doi "https://doi.org/10.1103/physrev.136.b529" @default.
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