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Calculate form factor of nucleus

  1. Apr 28, 2013 #1
    1. The problem statement, all variables and given/known data
    Calculate form factor of nucleus (A, Z given). Radius [itex]R = 1.2\cdot10^{-15}A^{\frac{1}{3}}[/itex]


    2. Relevant equations
    [itex] F(\textbf{q}) = \frac{1}{Ze} \int d^{3}\textbf{r} \rho(r)e^{i\textbf{q}\cdot \textbf{r}}[/itex]


    3. The attempt at a solution
    using polar coords [itex]d^{3}\textbf{r} = r^{2}dr \sin{\theta}d\theta d\phi [/itex]

    and know that we can write

    [itex]e^{i\textbf{q}\cdot \textbf{r}} = e^{iqr\cos{\theta}}[/itex]

    so then use substitution [itex]x = \cos{\theta}[/itex]

    but my question is about [itex]\rho[/itex]. this is spatial density distribution. This is not just ρ = Atomic number / volume, or is it? How do I find this?

    Also is this connected to radial Fermi distribution? if so, how?
     
    Last edited: Apr 28, 2013
  2. jcsd
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