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The cross section for Bremsstrahlung production can be evaluated theoretically and experimentally [1 - 3] while there are still come disagreements between both. Table 4419 shows the cross Section for Bremsstrahlung Production.
Table 4419. Cross Section for Bremsstrahlung Production
| Energy range |
σrad (cm2/nucleon) |
Non-relativistic EKi << mec2
|
(16/3) αre2Z2 |
Relativistic EKi≈ mec2
|
Complicated power series |
| High-relativistic mec2 << EKi<<(mec2)/(αZ1/3) |
8αre2Z2[ln(Ei·me-1·c-2) - 1/6] |
| Extreme-relativistic EKi >> (mec2)/(αZ1/3) |
4αre2Z2[ln(183·Z-1/3) + 1/18] |
where,
σrad -- The total cross section for bremsstrahlung production
EKi -- The initial kinetic energy of the light charged particle
me -- Rest mass of the charged particle
c -- Speed of light in vacuum
Z -- Atomic number of target material
re -- Classical electron radius
Ei -- The initial total energy of the light charged particle, given by Ei = EKi +
mec2
[1] Koch H. W. and Motz J. W., Bremsstrahlung Cross-Section Formulas and Related Data, Reviews of Modern Physics, 31(4) (1959) 920-955.
[2] Bethe H. A. and Maximon L. C., Theory of Bremsstrahlung and Pair Production 1. Differential Cross Section, Physical Review 93 (4) (1954) 768-784.
[3] Davies H., Bethe H. A., and Maximon L. C., Theory of Bremsstrahlung and Pair Production 2. Integral Cross Section for Pair Production, Physical Review, 93(4) (1954) 788-795.
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