# Calculate form factor of nucleus

1. Apr 28, 2013

### sunrah

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

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

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

and know that we can write

$e^{i\textbf{q}\cdot \textbf{r}} = e^{iqr\cos{\theta}}$

so then use substitution $x = \cos{\theta}$

but my question is about $\rho$. 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