elmerx25
- 14
- 0
Homework Statement
In the exercise 8.4 from Quarks and Leptons. An Introductory Course in Modern Particle Physics - F.Halzem,A.Martin we can see:
if the charge distribution \rho(r) has an exponential form e^{-mr}, then:
F(q) \propto (1 - \frac{q^2}{m^2})^{-2}
where F(q) is:
F(q) = \int\rho(x) e^{iq.x} d^3x
The Attempt at a Solution
The book says that first we integrate the angular part and obtain:
F(q) = 2\pi \int\rho(r) (\frac{e^{iqr}-e^{-iqr}}{iqr}) r^2 dr
Please, can anyone say me how can I obtain (\frac{e^{iqr}-e^{-iqr}}{iqr})