The proton elastic form factor (nuclear physics)

  • Thread starter Liquidxlax
  • Start date
  • #1
322
0

Homework Statement


The elastic form factors of the proton are well described by the form

G(q2) = [itex]\frac{G(0)}{(1 + (\frac{q^{2}}{0.71})^{2}}[/itex]

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

ρ(r) = ρoe-λr

Homework Equations



thought it to be the simple integral

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
 

Answers and Replies

Related Threads on The proton elastic form factor (nuclear physics)

  • Last Post
Replies
0
Views
3K
Replies
1
Views
1K
  • Last Post
Replies
2
Views
775
Replies
0
Views
3K
Replies
1
Views
990
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
6K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
4
Views
3K
Top