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Investigating High-Energy Electromagnetic Cascades in Laboratory Detectors

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22 diapositives · 249 Views · Jan 08, 2020

Explore a simple model for electromagnetic cascades, analyzing particle identification and critical energy. Construct an experimental setup with GM tubes to detect cosmic ray cascades in lead sheets. Calculate energies and radiation lengths for insightful results.

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Investigating High-Energy Electromagnetic Cascades in Laboratory Detectors
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  1. Measuring High Energy Electromagnetic Cascades in the Laboratory

  2. Detector Layers

  3. Particle Identification

  4. Electromagnetic Cascade

  5. ….building a simple electromagnetic cascade model...

  6. 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

  7. 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

  8. Interaction Model

  9. Population of Electrons in a Cascade

  10. 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

  11. We aim to:...use GM tubes arranged to register groups of electrons…look for cascades in lead sheets caused by cosmic rays

  12. Experimental Setup

  13. 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

  14. Setup of the Experiment

  15. GM Tube connections to the AND gate

  16. Prepare to plot the points as the measurements are taken...

  17. 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.

  18. 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

  19. 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

  20. If you would now like to try building one of these…...