Theory of Low-Energy Nucleon-Nucleon Scattering
- 15 December 1960
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 120 (6) , 2250-2276
- https://doi.org/10.1103/physrev.120.2250
Abstract
The two-nucleon problem is discussed from the standpoint of the double dispersion relations. The analytic structure of partial wave amplitudes is completely analyzed. This is greatly facilitated by the use of the Jacob-Wick helicity amplitudes. The program of generating a set of dynamical equations by use of the unitarity condition is carried out. In the present approximation only one- and two-pion exchanges are considered; the resulting system of equations should be adequate for energies below about 170 Mev. The problem of computing the deuteron parameters is discussed. The general structure of the more complicated nucleon-antinucleon system is briefly treated.Keywords
This publication has 15 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
- Construction of the Perturbation Series for Transition Amplitudes from their Analyticity and Unitarity PropertiesPhysical Review B, 1959
- Analytic Properties of Transition Amplitudes in Perturbation TheoryPhysical Review B, 1959
- Elastic neutron-deuteron scatteringNuclear Physics, 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
- Fourth-Order Nucleon-Nucleon Dispersion RelationsPhysical Review B, 1958
- Dispersion relations for nucleon-nucleon scatteringAnnals of Physics, 1957
- Low's Scattering Equation for the Charged and Neutral Scalar TheoriesPhysical Review B, 1956