CROSS SECTIONS

Rotating detector or spectrometer to measure differential cross sections (angular distributions) in fixed-target experiments.


For colliding beams only the total cross section can be measured and the detector arrays surround the collision region insofar as is possible. (For obvious reasons a cylindrical geometry is generally adopted!)
Below is a model of the Atlas detector at the LHC.  Note human figures for scale.




A differential cross section, protons on 58Ni nuclei, elastic scattering.  The standard unit for cross sections is the millibarn (mb), which is equal to 0.1 fm2, with a fm being 10-15 m. Physicists refer to a fm as a Fermi, but its technical name is femtometer.  I am hoping you know what a steradian is!



Total cross sections for p + p.

The Mandelstam variable s is the square of the total center-of-momentum energy of the process. Also sometimes displayed for differential cross sections is the Mandelstam variable t, which is the square of the four-momentum transfer in the process.


Why all particle physics experiments are done with colliding beams...

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