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Application of Dispersion Relations to Low-Energy Meson-Nucleon Scattering

Geoffrey F. Chew, M. L. Goldberger, F. E. Low, Y. Nambu

Open publisher page 488 citations

Abstract

Relativistic dispersion relations are used to derive equations for low-energy $S$-, $P$-, and $D$-wave meson-nucleon scattering under the assumption that the (3,3) resonance dominates the dispersion integrals. The $P$-wave equations so obtained differ only slightly from those of the static fixed-source theory. The conclusions of the static theory are re-examined in the light of their new derivation.

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What this paper is about

Relativistic dispersion relations are used to derive equations for low-energy $S$-, $P$-, and $D$-wave meson-nucleon scattering under the assumption that the (3,3) resonance dominates the dispersion integrals. The $P$-wave equations so obtained differ only slightly from those of the static fixed-source theory. The conclusions of the static theory are re-examined in the light of their new derivation.

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Available abstract

Relativistic dispersion relations are used to derive equations for low-energy $S$-, $P$-, and $D$-wave meson-nucleon scattering under the assumption that the (3,3) resonance dominates the dispersion integrals. The $P$-wave equations so obtained differ only slightly from those of the static fixed-source theory. The conclusions of the static theory are re-examined in the light of their new derivation.

Key concepts: Physics, Dispersion relation, Meson, Scattering, Quantum electrodynamics, Nucleon, Dispersion (optics), Resonance (particle physics)

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