In the low energy case KR≪1, we obtain maximum scattering (sin2δ0→1) when K0R=(n+12)π, when the scattering cross section is σ=4π/K2....In the low energy case KR≪1, we obtain maximum scattering (sin2δ0→1) when K0R=(n+12)π, when the scattering cross section is σ=4π/K2. If E is high enough that δl=(n+12)π for l≠0 the scattering cross section can become especially high due to another angular momentum component - p-wave resonance for l=1, d-wave resonance for l=2 etc.
Thus for scattering of slow-moving particles we need only consider a few partial waves, all the others are unaffected by the potential (δl≈0). In this case it is possible to solve fo...Thus for scattering of slow-moving particles we need only consider a few partial waves, all the others are unaffected by the potential (δl≈0). In this case it is possible to solve for the differential cross section, since only the first term in the series for f(θ) is involved: Since the angular variation is P0(cosθ)=1 the scattering is isotropic.
