Approximate triangle amplitude for three-body charge exchange processes

Journal Article · Mon Apr 01 04:00:00 EST 1996 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.53.2438· OSTI ID:279928

Alt, E O; Kadyrov, A S; Mukhamedzhanov, A M ^[1]

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1. Institut fuer Physik, Universitaet Mainz, D-55099 Mainz (Germany)

The single-rescattering contribution to the amplitude pertaining to three-body charge exchange reactions (triangle amplitude) contains the off-shell Coulomb {ital T}-matrix {ital T}{sup {ital C}} describing the intermediate-state Coulomb scattering of charged subsystems. For ease of computation, the latter is usually replaced by the potential {ital V}{sup {ital C}} which, however, is unsatisfactory in many cases. An alternative approximation, obtained by {open_quote}{open_quote}renormalizing{close_quote}{close_quote} the {open_quote}{open_quote}triangle{close_quote}{close_quote} contribution with {ital V}{sup {ital C}} instead of {ital T}{sup {ital C}} by a simple analytic expression, is shown to yield results in excellent agreement with the numerically calculated exact amplitude, for atomic elastic exchange reactions, over a wide range of (medium to high) projectile energies and scattering angles (including the forward direction). {copyright} {ital 1996 The American Physical Society.}

• DOE Contract Number: FG03-93ER40773
• OSTI ID: 279928
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 53; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AMPLITUDES
ANALYTICAL SOLUTION
BORN APPROXIMATION
CHARGE EXCHANGE
CHARGE-EXCHANGE REACTIONS
ELECTRON-ATOM COLLISIONS
EXCHANGE INTERACTIONS
HYDROGEN
MULTIPLE SCATTERING