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Comparison of Electron and Proton Ionization Data with the Born Approximation Predictions

J. W. Hooper*

D. S. Harmer, D. W. Martin, and E. W. McDaniel

  • Engineering Experiment Station and School of Electrical Engineering, Georgia Institute of Technology, Atlanta, Georgia

  • Engineering Experiment Station and School of Physics, Georgia Institute of Technology, Atlanta, Georgia

  • *A portion of the work reported here was included in the Dissertation submitted by J.W.H. to the faculty of the Georgia Institute of Technology in partial fulfillment of the requirements for the degree of Doctor of Philosophy.

Phys. Rev. 125, 2000 – Published 15 March, 1962

DOI: https://doi.org/10.1103/PhysRev.125.2000

Abstract

A comparison is made of the experimental ionization cross sections for protons and electrons incident at the same velocity of relative motion on helium, neon, argon, hydrogen, nitrogen, oxygen, and carbon monoxide. For a given target gas, the Born approximation predicts the proton and electron cross sections to be equal at the same velocity of relative motion, provided the velocity is sufficiently high. This prediction is shown to hold for the above gases at electron energies greater than about 300 ev. The corresponding proton energy is 552 kev.

The experimental cross sections as functions of energy for incident protons on these gases have been fitted to the theoretical expression of Bethe to obtain empirical values of the several parameters. For the case of hydrogen, these are in satisfactory agreement with the theoretical values obtained by Bethe. Similar comparisons cannot be made for the other gases since numerical values for these quantities have not yet been calculated from theory. It is demonstrated that the proton ionization data can be fitted to the Born approximation to a lower projectile velocity than can the corresponding electron data.

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