Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-05-08
Eur.Phys.J.A33:11-20,2007
Physics
Nuclear Physics
Nuclear Theory
16 pages, 9 figures, LATEX, some references added
Scientific paper
10.1140/epja/i2007-10432-4
The impact of the strongly attractive electromagnetic field of heavy nuclei on electrons in quasi-elastic (e,e') scattering is often accounted for by the effective momentum approximation. This method is a plane wave Born approximation which takes the twofold effect of the attractive nucleus on initial and final state electrons into account, namely the modification of the electron momentum in the vicinity of the nucleus, and the focusing of electrons towards the nuclear region leading to an enhancement of the corresponding wave function amplitudes. The focusing effect due to the attractive Coulomb field of a homogeneously charged sphere on a classical ensemble of charged particles incident on the field is calculated in the highly relativistic limit and compared to results obtained from exact solutions of the Dirac equation. The result is relevant for the theoretical foundation of the effective momentum approximation and describes the high energy behavior of the amplitude of continuum Dirac waves in the potential of a homogeneously charged sphere. Our findings indicate that the effective momentum approximation is a useful approximation for the calculation of Coulomb corrections in (e,e') scattering off heavy nuclei for sufficiently high electron energies and momentum transfer.
Aste Andreas
Trautmann Dirk
No associations
LandOfFree
Focusing of high-energy particles in the electrostatic field of a homogeneously charged sphere and the effective momentum approximation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Focusing of high-energy particles in the electrostatic field of a homogeneously charged sphere and the effective momentum approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Focusing of high-energy particles in the electrostatic field of a homogeneously charged sphere and the effective momentum approximation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-153855