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Units and kinematics

Units and kinematics. Units in particle physics. Other Units. Units in particle physics. U = 1 eV. Natural Units = c = 1 Mass 1 GeV Lenght 1 GeV -1 Time 1 GeV -1. 1 Volt. -. +. Co-moving coordinate systems. S’. S. v. x’’. x.

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Units and kinematics

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  1. Units and kinematics

  2. Units in particle physics

  3. Other Units

  4. Units in particle physics U = 1 eV Natural Units = c = 1 Mass 1 GeV Lenght 1 GeV-1 Time 1 GeV-1 1 Volt - +

  5. Co-moving coordinate systems S’ S v x’’ x • Time dilatation: Example: Muons, 2.10-6 s, in cosmic ray p=10 GeV  l v60 km (not. 600 m) Lorentz transformation • Lorentz contraction: length reduction with motion Lenght at rest Time at rest

  6. Relativistic kinematics

  7. 4-vector • Invariant for rotations: Notation • Introducing the metric: Contro-variant 4-vec Co-variant 4-vec • Lorentz-invariant  in terms of scalar, 4-vectors

  8. Four vectors

  9. Four vectors addition

  10. Kinematics example

  11. Observables

  12. E Ee 2-Body Decay mB mA mC c.m. frame Example

  13. Decay Width

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