Partial-Wave Dispersion Relations for Pion-Nucleon Scattering
- 15 August 1960
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 119 (4) , 1420-1426
- https://doi.org/10.1103/physrev.119.1420
Abstract
Partial-wave dispersion relations for pion-nucleon scattering are derived from the Mandelstam representation. The symmetry of the representation is used to obtain expressions for the discontinuities across the unphysical branch cuts. These expressions involve scattering amplitudes for pion-nucleon scattering and for the process . In the approximation of neglecting all but the nearest singularities it is shown that the Chew-Low effective-range formula is a solution to the equations.
Keywords
This publication has 8 references indexed in Scilit:
- Theory of the Low-Energy Pion-Pion InteractionPhysical Review B, 1960
- Partial-Wave Dispersion Relations for the ProcessPhysical Review B, 1960
- Analytic Properties of Partial Amplitudes in Meson-Nucleon ScatteringPhysical Review B, 1959
- Analytic Properties of Transition Amplitudes in Perturbation TheoryPhysical Review B, 1959
- On the general theory of collisions for particles with spinAnnals of Physics, 1959
- Determination of the Pion-Nucleon Scattering Amplitude from Dispersion Relations and Unitarity. General TheoryPhysical Review B, 1958
- Application of Dispersion Relations to Low-Energy Meson-Nucleon ScatteringPhysical Review B, 1957
- Effective-Range Approach to the Low-Energy-Wave Pion-Nucleon InteractionPhysical Review B, 1956