Exact Screened Calculations of Atomic-Field Pair Production and Low-Energy Screening

Tseng, H. K.; Pratt, R. H.

doi:10.1103/physreva.4.1835

Exact Screened Calculations of Atomic-Field Pair Production and Low-Energy Screening

Journal Article · Mon Nov 01 00:00:00 EST 1971 · Physical Review, A (General Physics)

DOI:https://doi.org/10.1103/physreva.4.1835· OSTI ID:4012402

Tseng, H. K. ^[1]; Pratt, R. H. ^[1]

Univ. of Pittsburgh, PA (United States)

A discussion of relativistic-pair-production cross sections is given for incident-photon energies in the range 1.073-2.615 MeV. Cross sections are obtained numerically for a screened potential, using an exact partial-wave formulation. Comparisons are made with previous authors' results. For low photon energies the effect of atomic-electron screening on pari-production cross sections is significant. The screening increases the cross section, since the atomic electrons decrease the nuclear Coulomb repulsion of the positron. Further, comparisons of screened with unscreened results show that angular distributions are essentially unaffected in shape by the screening; cross sections are simply renormalized by replacing |N₊⁢N_–|² in the point-Coulomb field by |N₊⁢N_–|² in the screened field, where N_± are the normalizations of the positron and electron wave functions at the origin.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Pittsburgh, PA (United States)

Sponsoring Organization:: US Atomic Energy Commission (AEC)

NSA Number:: NSA-25-043417

OSTI ID:: 4012402

Alternate ID(s):: OSTI ID: 4064218
OSTI ID: 4742907

Report Number(s):: NYO--3829-71

Journal Information:: Physical Review, A (General Physics), Journal Name: Physical Review, A (General Physics) Journal Issue: 5 Vol. 4; ISSN 0556-2791

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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