Quantum mechanical treatment of electron--positron excitation in heavy ion collisions with nuclear contact

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

DOI:https://doi.org/10.1016/0003-4916(83)90320-2· OSTI ID:5265718

Heinz, U; Mueller, B; Greiner, W

A general theory is formulated of electron--positron excitations in heavy ion collisions with nuclear contact, treating the nuclear relative motion quantum mechanically. A set of coupled channel equations for the electronic occupation amplitudes is derived, which is formally very similar to the classical theory based on a classical nuclear trajectory, and reduces to the latter in the JWKB approximation. The new coupled equations contain all the quantum mechanical information on the details of the nuclear scattering during nuclear contact. The importance of this formulation for a quantitative theory of spontaneous positron creation in supercritical systems with nuclear time delay is pointed out. The possibility of line structures in the positron spectrum, as predicted semiclassically and recently discovered experimentally, is discussed in the framework of the DWBA approximation. For light-particle scattering off a nuclear resonance, the Blair formula for vacancy production is recovered in the same approximation.

• Research Organization: Institut fuer Theoretische Physik der Joham Wolfgang Goethe-Universitaet, Postfach 11 19 32, D-6000 Frankfurt a. M. 11, West Germany
• OSTI ID: 5265718
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 151:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

640304 -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
ATOM COLLISIONS
BORN APPROXIMATION
BOUNDARY CONDITIONS
CHARGED-PARTICLE REACTIONS
COLLISIONS
COUPLED CHANNEL THEORY
CROSS SECTIONS
DWBA
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
HAMILTONIANS
HEAVY ION REACTIONS
ION COLLISIONS
ION-ATOM COLLISIONS
LEPTONS
MATHEMATICAL OPERATORS
MECHANICS
NUCLEAR REACTIONS
POSITRONS
QUANTUM MECHANICS
QUANTUM OPERATORS
SEMICLASSICAL APPROXIMATION
SPECTRA
X-RAY SPECTRA