# Nuclear Form Factor - Scaling

## Homework Statement

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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?

## The Attempt at a Solution

Part(b)
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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)