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I am re-reading some of my old textbooks and have come across a simplified (non-relativistic) term used to correct the beta decay spectrum for the coulomb effect of the nucleus on the ejected beta particle. The expression is;

F(Z,E) = (2*Pi*n) / (1 - exp(-2*Pi*n))

where n = (Z*e*e)/(hbar*v)

Z= atomic no of daughter nucleus

e= charge of the electron

hbar = plancks constant (divided by 2 Pi)

v= speed of the electron

Using SI values for each of the constants and assuming Z is 50 and that the speed of the beta particle is 10% of the speed of light I get a really small number for n and hence non-sensical values for F(Z,E).

The book I am using is "Theoretical Nuclear Physics" by Blatt and Weisskopf which is circa 1955 so perhaps there is an issue with units? Any help sorting out this issue would be greatly appreciated.

Thanks

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# Coulomb correction for beta decay spectrum

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