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small q |
large q |
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Bethe-Heitlera |
2 - 4 |
0.25 |
0.5 - 0.9 |
Elwert-Bethe-Heitler |
2 - 6 |
0.3 - 0.5 |
0.7 - 1.1 |
Elwert-Haug |
1.1 - 1.2 |
0.3 - 0.5 |
0.5 - 0.9 |
Ratio of results of approximate theories to exact partial wave theory
for ,
E1 = 50 keV to E1 = 450 keV, with
k/T1 = 0.4to
k/T1 = 0.85. Underlined numbers represent dominant cases.
aThese results do not apply in the tip region, where the
Bethe-Heitler theory is known to severely underestimate more exact
calculations.
Eoin Carney
1999-06-14