Coupled. pi. NN-NN systems in a Hamiltonian approach and in a relativistic off-mass-shell formalism
We discuss the scattering theory pertaining to the coupled ..pi..NN-NN system and approach the problem in two independent ways. The first one starts from a Hamiltonian formalism and coupled Schroedinger equations, whereas the second one employs an off-mass-shell relativistic theory of classifying perturbation diagrams. Both ways lead to connected equations among transition operators in which ..pi..NN vertices, as well as nucleon propagators, are completely dressed and renormalized. Furthermore, the physical amplitudes obey two- and three-body unitarity relations. The resultant equations form a sound theoretical basis for subsequent numerical calculations leading to the evaluation of physical observables in the reactions ..pi..+d..--> pi..+d, ..pi..+dbold-arrow-left-rightN+N, and N+N..-->..N+N.
- Research Organization:
- Department of Physics, Ben Gurion University of the Negev, Beer Sheva, Israel
- OSTI ID:
- 6245555
- Journal Information:
- Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 27:1; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Unified theory of N-N and. pi. -d scattering
Faddeev equations for the coupled NN-. pi. NN system
Related Subjects
A=1-5
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
653003 -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHARGED-PARTICLE REACTIONS
COUPLED CHANNEL THEORY
DEUTERIUM TARGET
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRON REACTIONS
HAMILTONIANS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESON REACTIONS
NUCLEAR MODELS
NUCLEAR REACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PION REACTIONS
PROPAGATOR
QUANTUM OPERATORS
RELATIVITY THEORY
RENORMALIZATION
SCHROEDINGER EQUATION
SHELL MODELS
TARGETS
THREE-BODY PROBLEM
TWO-BODY PROBLEM
UNITARITY
WAVE EQUATIONS