8. P. Chocian, W. Ihra, P. F. O'Mahony, Classical and Quantum Threshold Laws in 3‐Body Coulomb Breakup

$25.00 each

For purchase of this item, please read the instructions.

Volume 13: Pages 394-399, 2000

Classical and Quantum Threshold Laws in 3Body Coulomb Breakup

P. Chocian 1, W. Ihra 2, P. F. O'Mahony 3

1MaxPlanckInstitut fur Physik komplexer Systeme, Nöthnitzer Str. 38, D01187 Dresden, Germany

2Universität Freiburg, Theoretical Quantum Dynamics, HermannHerderStr. 3, D79104 Freiburg, Germany

3Department of Mathematics, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, U.K.

We give analytic expressions for both the classical and quantum threshold laws for the breakup of three charged particles interacting via longrange Coulomb forces for the case of a charge ratio of 1/4 between the particles involved. In this particular case the classical and quantum threshold laws differ. We show that the classical result can also be obtained by taking the semiclassical limit of the quantum expression. The threshold law shows exponential suppression of the ionization probability at threshold in contrast to the generic powerlaw dependence found in Wannier theory. This system provides an interesting prototype to study the quantum to classical transition in 3body Coulomb breakup.

Keywords: electronimpact ionization, Wannier threshold law, 3body Coulomb breakup, classical threshold laws, semiclassical limits

Received: June 22, 2000; Published online: December 15, 2008