Classical and quantum scattering by a Coulomb potential
Abstract
For relativistic energies the smallangle classical cross section for scattering on a Coulomb potential agrees with the first Born approximation for quantum cross section for scalar particle only in the leading term. The disagreement in other terms can be avoided if the sum of all corrections to the first Born approximation for large enough Coulomb charge contains the classical terms which are independent of that charge. The difference in classical and quantum cross sections may be partly attributed to the fact that the relativistic quantum particle can rush through the field without interaction. We expect that smaller impact parameters and spin facilitate this effect.
 Publication:

Physics of Atomic Nuclei
 Pub Date:
 January 2009
 DOI:
 10.1134/S1063778809010086
 arXiv:
 arXiv:0804.2149
 Bibcode:
 2009PAN....72...59N
 Keywords:

 11.80.Fv;
 High Energy Physics  Theory
 EPrint:
 5pages, no figures