40 research outputs found
Few-body semiclassical approach to nucleon transfer and emission reactions
A three-body semiclassical model is proposed to describe the nucleon transfer
and emission reactions in a heavy-ion collision. In this model the two heavy
particles, i.e. nuclear cores A and A, move along classical trajectories and
respectively, while the dynamics of the lighter neutron, n, is considered from
a quantum mechanical point of view. Here, are the nucleon masses and
are the Coulomb charges of the heavy nuclei (). A Faddeev-type
semiclassical formulation using realistic paired nuclear-nuclear potentials is
applied so that all three channels (elastic, rearrangement and break-up) are
described in an unified manner. In order to solve these time-dependent
equations the Faddeev components of the total three-body wave-function are
expanded in terms of the input and output channel target eigenfunctions. In the
special case when the nuclear cores are identical (A A) and the
two-level approximation in the expansion over target functions the
time-dependent semiclassical Faddeev equations are resolved in an explicit way.
To determine the realistic and trajectories of the
nuclear cores a self-consistent approach based on the Feynman path integral
theory is applied.Comment: 15 pages, 1 figur
Coordinate-space Faddeev-Hahn-type approach to three-body charge transfer reactions involving exotic particles
Low-energy muon-transfer cross sections and rates in collisions of muonic
atoms with hydrogen isotopes are calculated using a six-state close-coupling
approximation to coordinate-space Faddeev-Hahn-type equations. In the muonic
case satisfactory results are obtained for all hydrogen isotopes and the
experimentaly observed strong isotopic dependence of transfer rates is also
reproduced. A comparison with results of other theoretical and available
experimental works is presented. The present model also leads to good transfer
cross sections in the well-understood problem of antihydrogen formation in
antiproton-positronium collision.Comment: 18 pages REVTeX, accepted for publication in Phys. Rev.