High energy approximations for the total Born cross section for pair production in a screened Coulomb field

Journal Article · Sat Jan 01 04:00:00 EST 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.49.428· OSTI ID:5433105

Maximon, L C ^[1]

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1. Center for Nuclear Studies, Physics Department, The George Washington University, Washington, D.C. 20052 (United States)

We derive the high energy limit of the momentum distribution associated with the total Born approximation cross section for pair production in a static screened Coulomb field. This high energy distribution is free of the large'' terms which appear in the exact momentum distribution and cancel leaving a remainder of relative order ([ital m]/[ital k])[sup 2], the cancellation having been performed analytically. ([ital k] is the incident photon energy, [ital m] the electron rest mass.) The high energy distribution is used to derive the total pair production cross section both for an unscreened Coulomb field and in the limit of complete screening, and the results are compared with expressions given in the literature. It is shown that the largest corrections to the high energy limit of the total cross section [of relative orders (2[ital m]/[ital k])[sup 2]ln[sup 3](2[ital k]/[ital m]) and (2[ital m]/[ital k])[sup 2]ln[sup 2](2[ital k]/[ital m])] are independent of screening, and these are given analytically.

• DOE Contract Number: FG05-86ER40270
• OSTI ID: 5433105
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 49:1; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

662220* -- Quantum Electrodynamics-- (1992-)
662330 -- Photon & Charged-Lepton Interactions with Hadrons-- (1992)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
BORN APPROXIMATION
COULOMB FIELD
CROSS SECTIONS
ELECTRIC FIELDS
ELECTRODYNAMICS
ELECTROMAGNETIC FIELDS
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
INTERACTIONS
LEPTONS
MATTER
PAIR PRODUCTION
PARTICLE PRODUCTION
POSITRONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
TOTAL CROSS SECTIONS