Charge transfer in a 3. -->. 2-body, reduced mass Fock-Tani representation: first order results and an introduction to high order effects
The Fock-Tani (unitary) transformation of the second-quantized Hamiltonian gives a representation which treats reactants and products symmetrically, and composites exactly. Each term in the Fock-Tani potential corresponds to a specific physical process and contains terms orthogonalizing continuum states to the bound states. The difficulty in carrying out this transformation can be lessened by working in a center of mass system, giving (n - 1) reduced mass particles. After a general analysis of such systems, the Fock-Tani transformations in the 3 ..cap alpha.. 2-body case are carried out for the reactions (1) a/sup +/ + (b/sup +/c/sup -/) ..-->.. (a/sup +/c/sup -/) + b/sup +/ and (2) a/sup -/ + (b/sup +/c/sup -/) ..-->.. (a/sup -/b/sup +/) + c/sup -/. It is found that for (2) the transformation in the symmetrical reduced mass system can easily be carried out, but the Jacobi reduced mass system requires the more complicated d-matrix approach. This transformation has not yet been attempted in the full 3-body system but is likely to be as difficult as that for (1). First order differential and total cross sections are computed for resonant change transfer in (1) for a proton-hydrogen initial state. The Fock-Tani T-matrix for the initial-state Jacobi system is found to be identical to that for the full 3-body system.
- Research Organization:
- Oregon Univ., Eugene (USA)
- OSTI ID:
- 6844967
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
HYDROGEN
PROTON REACTIONS
ION COLLISIONS
CHARGE EXCHANGE
CENTER-OF-MASS SYSTEM
DIFFERENTIAL CROSS SECTIONS
IRREDUCIBLE REPRESENTATIONS
POTENTIALS
QUANTUM MECHANICS
TOTAL CROSS SECTIONS
BARYON REACTIONS
CHARGED-PARTICLE REACTIONS
COLLISIONS
CROSS SECTIONS
ELEMENTS
HADRON REACTIONS
MECHANICS
NONMETALS
NUCLEAR REACTIONS
NUCLEON REACTIONS
645400* - High Energy Physics- Field Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
640302 - Atomic
Molecular & Chemical Physics- Atomic & Molecular Properties & Theory