- #1
wdednam
- 35
- 1
Homework Statement
Compute the form factor of rho(r) = rho0 * exp[-ln2*r^2/R^2]
where rho0 and R are constants.
Homework Equations
F(q) = 4pi/q [tex]\int[/tex]sin(q*r)rho(r)rdr
where the limits of integration run from 0 to [tex]\infty[/tex]
The Attempt at a Solution
This is probably more of a math problem, and I've tried everything mathematical I could think of to evaluate this integral:
Substitution, Integration by parts, taylor approximation to turn the exponential into a polynomial in r, writing sin(q*r) in exponentials... But all of this got me nowhere fast.
Then I tried looking up the integral in a table, but couldn't come across it in 30 pages worth of standard integrals. (Schaum series book)
As a last resort, I tried numerical integration in excel using set values for R and q, but of course the answer depends very much on the values of R and q, so this offered me no insight.
Thanks in advance for any help.
Wynand.