Zero range three-particle equations. [Karlsson-Zeiger equations]
Noyes, H.P.
Zeiger, E.M.
Stanford Linear Accelerator Center
1978-04-01
English
In order to separate the entire effect of two-particle on-shell scatterings in three-particle systems from the effects of hidden mesonic degrees of freedom (off-shell effects and three-body forces), the zero range limit of the Karlsson-Zeiger equations. Although the Faddeev equations are ambiguous in this limit, the KZ equations remain well defined. Using only two-particle phase shifts, binding energies, and reduced widths, these zero-range equations uniquely predict the three-particle observables which would occur in the absence of hidden mesonic degrees of freedom. The three-particle amplitudes possess all requisite physical symmetry properties, and can be proved to be unitary if the spectator basis is orthonormal and complete. Possible extensions of the scheme for the analysis of three-particle final states, to zero range four-particle equations, and to relativistic systems are conjectured.
Amplitudes
Energy Range
Nuclear Forces
Scattering Amplitudes
72 Physics Of Elementary Particles And Fields
Binding Energy
73 Nuclear Physics And Radiation Physics
Deuterium Target
Nucleon Reactions
Equations
653001 -- Nuclear Theory-- Nuclear Structure, Moments, Spin, & Models
Integral Equations
Interactions
Many-Body Problem
Nucleon-Deuteron Interactions
Phase Shift
Hadron-Hadron Interactions
Hadrons
Baryon-Baryon Interactions
Energy
Baryon Reactions
Symmetry
Elementary Particles
Unitary Symmetry
Relativistic Range
Neutron-Deuteron Interactions
Nuclear Reactions
Final-State Interactions
Three-Body Problem
Faddeev Equations
Hadron Reactions
651215 -- Nuclear Properties & Reactions, A=1-5, Theoretical-- Nuclear Reactions & Scattering-- (-1987)
Targets 645500* -- High Energy Physics-- Scattering Theory-- (-1987)
Mesons
Particle Interactions
Bosons
Neutron Reactions
Report
Pages: 8
Text
rep-no: SLAC-PUB-2114
grantno: EY-76-S-03-0326
doi: 10.2172/6653770
osti: 6653770
https://digital.library.unt.edu/ark:/67531/metadc1192674/
ark: ark:/67531/metadc1192674