Cross Section for Bremsstrahlung Production
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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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