J. Phys. IV France 09 (1999) Pr6-51-Pr6-54
N-body Coulomb problem in the near-threshold domainM.Yu. Kuchiev1 and V.N. Ostrovsky1, 2
1 The University of New South Wales, Sydney, Australia
2 Institute of Physics, The University of St. Petersburg, St. Petersburg 198904, Russia
The asymptotic solution for the Coulomb problem with N > 2 charged particles in the final state is found. It is governed by the classical trajectories which describe the uniform scaling in time of all interparticle separations. Quantum fluctuations of a system in the vicinity of a scaling configuration result in nontrivial threshold laws for the break-up of a quantum particle into N charged fragments.
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