2 - CERN Accelerator School
2 - CERN Accelerator School
2 - CERN Accelerator School
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x<br />
p<br />
i<br />
xi<br />
Multiple Coulomb scattering<br />
due to beam-matter<br />
beam matter<br />
interaction is described by<br />
means of the rms<br />
scattering angle:<br />
14 MeV / c L<br />
θ = q 1 +<br />
rms<br />
p<br />
pβ<br />
L<br />
Downstream of the foil the<br />
transformed coordinates<br />
are given by<br />
→<br />
→<br />
x<br />
i<br />
p<br />
xi<br />
=<br />
+<br />
A<br />
p<br />
io<br />
Δ<br />
sin( ψ<br />
p<br />
=<br />
A<br />
i<br />
io<br />
)<br />
Scattering through thin foil - II<br />
rad<br />
cos( ψ<br />
( ε )<br />
i<br />
corr<br />
) + β θ<br />
Normalised coordinate<br />
= α x + β x′<br />
Massimo Giovannozzi CAS - 2-14 14 October 2005 7<br />
p x<br />
α = 0 at the<br />
location of the foil
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