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Classical Mechanics, Second Edition, 2nd Edition
book

Classical Mechanics, Second Edition, 2nd Edition

by Tai L. Chow
May 2013
Intermediate to advanced content levelIntermediate to advanced
639 pages
23h 12m
English
CRC Press
Content preview from Classical Mechanics, Second Edition, 2nd Edition
323Collisions and Scatterings
© 2010 Taylor & Francis Group, LLC
Differentiating with respect to θ
s
, we obtain
d
d
bk
Eθ
θ
=−
4
1
2
2
sin(
/)
(10.28)
so that σ(θ) becomes, by Equation 10.22,
σθ
θ
θ
θ
()
cot( /)
sin
sin(/)
=
1
22
21
2
2
2
k
E
or
σθ
θ
()
sin(
/)
=
1
42
1
2
2
4
k
E
(10.29)
where
kZ
e
=
2
2
.
This is the famous Rutherford scattering cross section, originally derived by Rutherford to
explain the experimental results of Geiger and Marsden on the scattering of alpha particles by
heavy nuclei (gold, Z = 79). In his derivation, this cross section is strongly dependent on both the
velocities of the incident particle and the scattering angle. It also increases rapidly with ...
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Publisher Resources

ISBN: 9781466569980