Collision length

From HandWiki - Reading time: 1 min


The mean free path of a particle before undergoing a nuclear reaction, for a given particle in a given medium. The collision length (also known as the nuclear collision length ) follows from the total nuclear cross-section Hepb img107.gif by

Hepb img108.gif

with Hepb img109.gif Avogadro's number (6.022 1023/mole) A = atomic weight [g/mole] and Hepb img110.gif density [g/cm3]. The probability density function for distances between successive collisions is given by

Hepb img111.gif

If one subtracts from the total cross-section the sum of elastic and quasi-elastic (diffractive) cross-sections, one obtains by the same formula the (nuclear) interaction length Hepb img112.gif .

Some numerical values for Hepb img113.gif and Hepb img112.gif are given in the following table.

Medium Hepb img114.gif [cm] Hepb img115.gif [g/cm2] Hepb img116.gif [g/cm2]
Fe 10.6 83.3 131.9
Al 26.1 70.6 106.4
Cu 9.6 85.6 134.9
Pb 10.2 116.2 193.7
Concrete 27.0 67.4 99.9
Scintil. 56.6 58.4 82.0

The numbers are from Barnett96 where much more material can be found.





Licensed under CC BY-SA 3.0 | Source: https://handwiki.org/wiki/Physics:Collision_length
24 views | Status: cached on August 07 2024 16:27:50
↧ Download this article as ZWI file
Encyclosphere.org EncycloReader is supported by the EncyclosphereKSF