Triangle amplitude with off-shell Coulomb {ital T} matrix for exchange reactions in atomic and nuclear physics

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.54.4091· OSTI ID:388942

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 lowest-order rescattering contribution (triangle amplitude) in three-body models of exchange reactions with charged particles contains the off-shell two-body {ital T} matrix describing the intermediate-state Coulomb scattering of charged subsystems. General properties of the exact exchange triangle amplitude, when the incoming and outgoing particles are on the energy shell, are derived. This includes the analytic behavior, i.e., the positions and characters of its leading singularities, in the cos{var_theta} plane, where {var_theta} is the scattering angle, in the vicinity of the forward- and backward-scattering directions. Since for computational reasons the Coulomb {ital T} matrix is usually replaced by the Coulomb potential, the effects of such an approximation on the analytic properties are investigated. The theoretically established behavior of the exact and the approximate exchange triangle amplitudes is then illustrated by numerical calculations, for both atomic and nuclear reactions, for energies below and above the corresponding three-body dissociation thresholds, for elastic and inelastic exchange. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 388942
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 5 Vol. 54; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANALYTICAL SOLUTION
CHARGE-EXCHANGE REACTIONS
COULOMB SCATTERING
THREE-BODY PROBLEM
THREE-NUCLEON TRANSFER REACTIONS
TRANSFER MATRIX METHOD