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https://texercises.com/exercise/muon-pair-production/
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Exercise:
A muon/antimuon pair can be produced when an electron and a positron with sufficiently hight energies annihilate. What is the minimum kinetic energy of the electron and positron asing a symmetrical collision? What is the corresponding Lorentz factor?

Solution:
In order to produce a muon/antimuon pair the total energy of the electron and the positron has to be at least equal to twice the rest energy of a muon: E_e + sscEkin &geq E_mu It follows for the minimum kinetic energy of the electron/positron sscEkin EkF Emu - Ee resultEkP The Lorentz factor is gamma gaF fracEe + EkEe resultgaP
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Exercise:
A muon/antimuon pair can be produced when an electron and a positron with sufficiently hight energies annihilate. What is the minimum kinetic energy of the electron and positron asing a symmetrical collision? What is the corresponding Lorentz factor?

Solution:
In order to produce a muon/antimuon pair the total energy of the electron and the positron has to be at least equal to twice the rest energy of a muon: E_e + sscEkin &geq E_mu It follows for the minimum kinetic energy of the electron/positron sscEkin EkF Emu - Ee resultEkP The Lorentz factor is gamma gaF fracEe + EkEe resultgaP
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special relativity
Tags
collision, kinetic energy, pair production, rest energy
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Language
ENG (English)
Type
Calculative / Quantity
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