Theory of Bremsstrahlung and Pair Production. II. Integral Cross Section for Pair Production

Handel Davies, H. A. Bethe, and L. C. Maximon
Phys. Rev. 93, 788 – Published 15 February 1954
PDFExport Citation

Abstract

The differential cross section for bremsstrahlung and pair production at high energies obtained in the preceding paper by Bethe and Maximon has been integrated over all angles, and formulas are given for the integral cross section for all Z. For small Z, the correction to the Born approximation is proportional to Z2, and the constant of proportionality is given. The correction for heavier elements is somewhat less than the Z2 law would indicate. It is shown that the correction is associated only with large recoil momenta of the nucleus whereas screening is important only for small recoil momenta; and, therefore, the same correction is valid in the case of complete, incomplete, or no screening. Agreement of these new predictions with observations of pair-production cross section at 88 and 280 Mev is excellent and not unreasonable at 17.6 Mev.

  • Received 29 October 1953

DOI:https://doi.org/10.1103/PhysRev.93.788

©1954 American Physical Society

Authors & Affiliations

Handel Davies*, H. A. Bethe, and L. C. Maximon

  • Laboratory of Nuclear Studies, Cornell University, Ithaca, New York

  • *Now at Christ Church College, Oxford, England.
  • Now at Graduate Division of Applied Mathematics, Brown University, Providence, Rhode Island.

See Also

Theory of Bremsstrahlung and Pair Production. I. Differential Cross Section

H. A. Bethe and L. C. Maximon
Phys. Rev. 93, 768 (1954)

References (Subscription Required)

Click to Expand
Issue

Vol. 93, Iss. 4 — February 1954

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Journals Archive

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×