Classical and quantum scattering by a Coulomb potential

Journal Article · Thu Jan 15 04:00:00 EST 2009 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778809010086· OSTI ID:21406048

Nikishov, A I ^[1]

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1. Russian Academy of Sciences, Lebedev Institute of Physics (Russian Federation)

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.

• OSTI ID: 21406048
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 1 Vol. 72; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
APPROXIMATIONS
BORN APPROXIMATION
BOSONS
CALCULATION METHODS
CORRECTIONS
COULOMB FIELD
CROSS SECTIONS
ELECTRIC FIELDS
ELEMENTARY PARTICLES
ENERGY RANGE
HADRONS
IMPACT PARAMETER
MECHANICS
MESONS
PARTICLE PROPERTIES
PARTICLES
QUANTUM MECHANICS
RELATIVISTIC RANGE
SCALAR MESONS
SCATTERING
SPIN