Physics 235
Chapter 09

17

κ
=
k
2
T
0
'
We can use this relation to calculate
db
/
d
θ
and get the following differential cross section:
σθ
( ) =
k
2
T
0
'
⎛
⎝
⎜
⎞
⎠
⎟
2
1
sin
4
/2
( )
We conclude that the intensity of scattered projectile nuclei will decrease when the scattering
angle increases.
If the energy of projectile nuclei is low enough, the measured angular
distribution will agree with the socalled Rutherford distribution over the entire angular range, as
was first shown by Geiger and Marsden in 1913 (see Figure 8 left).
Each trajectory of the projectile can be characterized by distance of closest approach and
there is a onetoone correspondence between the scattering angle and this distance of closest
approach.
The smallest distance of closest approach occurs when the projectile is scattered
backwards (
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 01/08/2012 for the course PHY 235 taught by Professor Morgan during the Spring '09 term at SUNY Stony Brook.
 Spring '09
 MORGAN
 Physics

Click to edit the document details