In the Born approximation, the scattering amplitude f(θ) for the Yukawa potential \(\rm V(r)=\frac{\beta e^{-μ r}}{r}\) is given by: (in the following \(\rm b=2 k \sin \frac{\theta}{2}, E=\hbar^2 k^2 / 2 m\))
1
\(-\frac{2 m \beta}{\hbar^2\left(μ^2+b^2\right)^2}\)
2
\(-\frac{2 m \beta}{\hbar^2\left(μ^2+b^2\right)}\)
3
\(-\frac{2 m \beta}{\hbar^2 \sqrt{μ^2+b^2}}\)
4
\(-\frac{2 m \beta}{\hbar^2\left(μ^2+b^2\right)^3}\)