(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In calculating the quantum mechanical amplitude for the Coulomb potential (scattering of say [tex]\alpha[/tex] particle off a massive particle of charge [tex]Ze[/tex]), I came across a fourier transform which I could not calculate.

If

[tex] U(r)=\frac{2Ze^2}{4\pi\epsilon_0 r}[/tex]

then

[tex]\tilde{U}(k)=\int U(\mathbf{x})e^{i\mathbf{k}\cdot\mathbf{x}}d^3x=\frac{Ze^2}{\epsilon_0 k^2} [/tex]

Could you please help me calculate this integral

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Particle Physics Integral Calculation

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