Is the Born Approximation in Cohen-Tannoudji vol 2 textbook accurate?

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To those who have Cohen-Tannoudji vol 2, QM textbook.
On page 920, he gives there the differential cross section, in equation B-48, which he writes it as:
[tex]\sigma^{(B)}_k(\theta,\phi)=\frac{\mu^2}{4\hbar^4 \pi^2}|\int d^3 r e^{-iK.r} V(r)|[/tex]
Now shouldn't it be [tex]\frac{1}{\pi}[/tex] instead of factor 1/4pi^2?

Thanks in advance.
 
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