Classical and quantum scattering by a Coulomb potential |
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Authors: | A I Nikishov |
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Institution: | (1) Lebedev Institute of Physcis, Russian Academy of Sciences, Moscow, Russia |
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Abstract: | For relativistic energies the small-angle 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.
The text was submitted by the authors in English. |
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