# Nuclear Form Factor - Scaling

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1. Feb 11, 2015

### unscientific

1. The problem statement, all variables and given/known data

b) For a Form factor of form $\theta_{(1-r)}$ and $\frac{1}{1 + e^{\frac{r-R}{a}}}$, how will these change when $r \rightarrow 2r$?

c) How would one accelerate and observe scattered protons?

2. Relevant equations

3. The attempt at a solution

Part(b)

Rate of scattering per solid angle is given by:
$$\frac{d\sigma}{d\Omega} = |F_{nucl} |^2 \left( \frac{d\sigma}{d\Omega} \right)_{rutherford}$$

For the first form function of a sphere, $\theta_{(1-r)} \rightarrow \theta_{(1-2r)}$, so it scales as $\frac{1}{2}$?

For the next form factor due to the fraction of $\frac{1}{a}$, it scales as $\frac{a}{2}$?

Part (c)

2. Feb 16, 2015