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Scattering is a general term for several physical processes in which radiation of some sort changes direction due to an interaction with a particle. Scattering can be classified by the type of radiation (ie, electromagnetic, x-ray, neutron), or by the relative sizes of the wave and the particle (ie, Rayleigh, Mie, geometric).
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Why we use partial wave analysis for scattering amplitude?
So $$\psi_{total}= \psi + \psi_{scattering}$$
$$\psi_{total} \approx \psi$$
Thus $|\psi|>> |\psi_{scattering}|$.
$$ |\psi_{scattering}|^2 <<|\psi|^2 = 1$$
$$|\psi_{scattering}|^2 << 1 $$ This is the validity … This scattering potential causes the phase shifts in the wavefunction and thus helps us to calculate the scattering amplitude. …