Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I'm trying to evaluate the following integral to calculate the scattering cross section for a spherically symmetrical potential [tex]e^{\frac{-r^2}{a^2}}[/tex]?

[tex]f(\theta)=\int r e^{\frac{-r^2}{a^2}} sin(kr) dr[/tex] where a is a constant.

What is the easiest way to evaluate this? I was able to get the answer by doing the integral using Mathematica but I don't know how to do this by hand.

Also, is the approximation better for low energies or high energies??

Thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Evaluating integral born approximation

**Physics Forums | Science Articles, Homework Help, Discussion**