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Partial-wave S-matrix

Partial-wave expansion of a scattering amplitude

{title2=$\sigma_T$}

For elastic scattering by a central potential,
$$
\sigma_T=\frac{4\pi}{k^2}\sum_{l=0}^{\infty}(2l+1)\sin^2\delta_l.
$$
At low momentum, the <S-wave> normally supplies the leading term.

Partial-wave total scattering cross-section

Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 3 / 35A / Solution

Partial-wave total scattering cross-section ( $σ_{T}$ )

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Partial-wave total scattering cross-section (σT​)

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