# The proton elastic form factor (nuclear physics)

1. Mar 12, 2013

### Liquidxlax

1. The problem statement, all variables and given/known data
The elastic form factors of the proton are well described by the form

G(q2) = $\frac{G(0)}{(1 + (\frac{q^{2}}{0.71})^{2}}$

with qw in GeV2. Show that an exponential distribution in the proton given by

ρ(r) = ρoe-λr

2. Relevant equations

thought it to be the simple integral

3. The attempt at a solution

The integral

G(q2) = ∫∫∫ ρ(r)*e^(-iqrcosθ)*r2sinθ*drdθd∅

phi is 0 to 2pi

theta is 0 to pi

r is 0 to ∞

the problem is the r integral

G(q2) = a∫ r*sin(qr)*e^(-λr)

a are the constants combined into 1 term

I've done a problem similar with the Yukawa potential, but the Yukawa potential eliminated the r next to the sin(qr) which made it solvable.

not sure if i have done something wrong or what.

any help would be appreciated