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Measuring High Energy Electromagnetic Cascades in the Laboratory. Detector Layers. Particle Identification. Electromagnetic Cascade. ….building a simple electromagnetic cascade model.
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Measuring High Energy Electromagnetic Cascades in the Laboratory
The radiation length is an indicator of how far a particle travels in a medium before losing about 1/3rd of its energy. Radiation length
Critical EnergyA high energy electron can lose energy by emitting gamma radiation if it is deflected. Below a certain critical energy in a material, the electron no longer loses energy in this way, it simply ionises atoms or is scattered
If the number of particles doubles at each radiation length then there should be 2t particles associated with the peak of the graph • If the peak of the graph corresponds to the point where the critical energy is reached then the original energy should be given by: • Eoriginal = 2tx Ecritical
We aim to:...use GM tubes arranged to register groups of electrons…look for cascades in lead sheets caused by cosmic rays
Apparatus list • 3 GM tubes and their EHT supplies • 20 sheets of lead (thickness about 2 mm,size about 20 cm by 20 cm or more) • laboratory tripod • a three input AND gate • a counter that can by driven by the AND gate • a reliable clock
Calculating the energyThe radiation length for lead is 0.56cm.Find the thickness of lead associated with the peak in the graph and work out how many radiation lengths it represents.
The critical energy for electrons in lead is about 7.6 MeV.The maximum in the graph corresponds to the particles having the critical energyIf there are 2t particles then the initial energy must be 2t x 7.6 MeV
You will have:- a direct measurement of the typical energy of cosmic ray particles passing through the room- made a measurement similar to the ones made many times per second in modern particle detectors