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small q 
large q 

BetheHeitler^{a} 
2  4 
0.25 
0.5  0.9 
ElwertBetheHeitler 
2  6 
0.3  0.5 
0.7  1.1 
ElwertHaug 
1.1  1.2 
0.3  0.5 
0.5  0.9 
Ratio of results of approximate theories to exact partial wave theory
for ,
E_{1} = 50 keV to E_{1} = 450 keV, with
k/T_{1} = 0.4to
k/T_{1} = 0.85. Underlined numbers represent dominant cases.
^{a}These results do not apply in the tip region, where the
BetheHeitler theory is known to severely underestimate more exact
calculations.
Eoin Carney
19990614