Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-24T17:18:33.557Z Has data issue: false hasContentIssue false
  • English
  • Français

The influence of screening on the creation and stopping of electrons

Published online by Cambridge University Press:  24 October 2008

H. A. Bethe
H. A. Bethe
Affiliation:
Victoria University of Manchester
Get access Rights & Permissions [Opens in a new window]

Extract

The cross-sections for the emission of radiation by very fast electrons (energy great compared with mc2) and for the production of pairs of positive and negative electrons by very hard γ-rays is calculated, considering the screening of the atomic field in which the processes happen. The main part of the paper deals with the integration of the differential cross-section over the angles. It is found that the integral cross-section increases steadily with increasing energy of the primary particle, reaching an asymptotic value for extremely high energies.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 30 , Issue 4 , October 1934 , pp. 524 - 539
Copyright
Copyright © Cambridge Philosophical Society 1934

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Proc. Roy. Soc. London, in press.Google Scholar Quoted as R.

* E.g. Bethe, H., Ann. d. Phys. 5 (1930), 385.Google Scholar

* By a more careful analysis it can be shown that our calculation is correct to the order (μ/E 0)2.

* Actually, only values of x comparable with μ2 contribute appreciably (cf. § VIII), which would be still more favourable for our argument.

† Only the values of x smaller than √(E 0μ) contribute appreciably to the cross-section. See above.

* It is actually the most troublesome and least interesting part of the calculation to show that the terms neglected in (23) really correspond only to a correction of the order μ2/E 02.

* The argument is similar to that leading to the neglect of (17).

* Of course, E 0, E and hν are still assumed to be large compared with mc 3.

* We have not made use of this fact in § II, because (72) does not follow immediately from the calculation carried out in this paper.