Consider the case of low-energy scattering from a spherical delta-function shell: where and a are constants.

Consider the case of low-energy scattering from a spherical delta-function shell:

where α and a are constants. Calculate the scattering amplitude, f(θ), the differential cross-section, D(θ), and the total cross-section, σ. Assume ka << 1, so that only the ℓ = 0 term contributes significantly. (To simplify matters, throw out all ℓ ≠ 0 terms right from the start.) The main problem, of course, is to determine C₀. Express your answer in terms of the dimensionless quantity β Ξ 2ma∝/ћ².

Transcribed Image Text:

V(r) = a8(ra),