Born Approximation
First-order quantum scattering — dσ/dΩ ∝ |Ṽ(q)|² where q = kₒ − k
Scattering Potential V(r)
Differential Cross Section dσ/dΩ
Orange: Born approx
dashed: exact (Yukawa)
Potential
Yukawa
Yukawa
Gaussian
Square well
Coulomb (screened)
Range a
1.0
Strength V₀
1.0
Energy E (ℏ²k²/2m)
2.0