12.1.9 The differential cross section in a nuclear scattering experiment is given by do/dn = |ƒ(0)|². An approximate treatment leads to R exp[iko sin sin p]p dp do, where is an angle through which the scattered particle is scattered, and R is the nuclear radius. Show that f(0) = -ik 2π do dQ 2π = (π R²) 1 [J₁(kR sin 0) Л sin Ꮎ

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12.1.9 The differential cross section in a nuclear scattering experiment is
given by do/dn = |ƒ(0)|². An approximate treatment leads to
exp[iko sin sin p]p dp do,
where is an angle through which the scattered particle is scattered,
and R is the nuclear radius. Show that
R
f(0) = L. L
-ik 2π
2л
do
dΩ
[J₁(KR
= ( 7 R²) 1¹1(KR sin 6)
π
sin 0
Transcribed Image Text:12.1.9 The differential cross section in a nuclear scattering experiment is given by do/dn = |ƒ(0)|². An approximate treatment leads to exp[iko sin sin p]p dp do, where is an angle through which the scattered particle is scattered, and R is the nuclear radius. Show that R f(0) = L. L -ik 2π 2л do dΩ [J₁(KR = ( 7 R²) 1¹1(KR sin 6) π sin 0
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