Field theory of the e/sup +/-H three-body system

Journal Article · Sat Jan 01 04:00:00 EST 1983 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(83)90175-6· OSTI ID:6300992

Varracchio, E F

A field-theoretic (FT) formalism is developed that describes the dynamics of the fundamental e/sup +/-H three-body system. The S-matrix elements for elastic, inelastic, and rearrangement processes are related to suitable FT Green's functions, and closed equations are obtained for these. Key quantities of the theory are three ''effective potentials,'' ..sigma.., ..xi.., and GAMMA, the fully preside over the elastic, inelastic, and rearrangement processes, respectively, and contain complete information on interchannel couplings as well. Closed equations are obtained for these, along with convenient approximation schemes, that are interpreted diagrammatically. A comparison with more conventional quantum mechanical approaches suggests that the present formalism is most suited for numerical applications, both in the subreactive and rearrangements regimes. The theory can be generalized to more complex systems, of interest to atomic physics.

• Research Organization: Institutes of Theoretical Science and of Chemical Physics, University of Oregon, Eugene, 97403
• OSTI ID: 6300992
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 145:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
COLLISIONS
COUPLED CHANNEL THEORY
ELASTIC SCATTERING
ELEMENTS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
HAMILTONIANS
HYDROGEN
INELASTIC SCATTERING
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
NONMETALS
PARTICLE PRODUCTION
POSITRON COLLISIONS
POSITRON-ATOM COLLISIONS
POSITRONIUM
PROPAGATOR
QUANTUM MECHANICS
QUANTUM OPERATORS
RECOMBINATION
S MATRIX
SCATTERING
THREE-BODY PROBLEM