Sumários

Theory Lecture 5

24 Março 2025, 15:00 João Nuno Ramalho Gonçalves Pires

  • Relativistic electron-proton scattering
  • Proton charge and magnetic distributions
  • Lorentz invariant Rosenbluth elastic electron-proton cross section formula 
  • Experimental evidence for finite proton size
  • Deep inelastic electron-proton scattering
  • DIS kinematical variables and experimental data

Recommended reading: Chapter's 7.1-8.1 of Mark Thomson's book, Chapter's 8.1 - 8.4 of D.Griffith's book.


Exercise class 3

19 Março 2025, 09:00 João Nuno Ramalho Gonçalves Pires

Discussion and solution of the third series of exercises.


Theory lecture 4

17 Março 2025, 15:00 João Nuno Ramalho Gonçalves Pires

  • Covariant form of Maxwell's equations
  • Feynman rules in QED
  • Electron-muon scattering matrix element
  • Casimir's Trick: calculate spin-averaged amplitudes in terms of traces 
  • Electron-muon fixed target differential cross section
  • Mott scattering cross section formula
Recommended reading: Chapter's 7.4-7.9 of D.Griffith's book.Chapter's 5 and 6 of Mark Thomson's book.


Exercise class 2

12 Março 2025, 09:00 João Nuno Ramalho Gonçalves Pires

Discussion and solution of the second series of exercises.


Theory lecture 3

10 Março 2025, 15:00 João Nuno Ramalho Gonçalves Pires

  • Klein-Gordon equation: negative particle energy solutions and unphysical negative probability densities 
  • Dirac equation
  • Properties of the Dirac gamma matrices
  • Adjoint Spinor and covariant current: 
  • Dirac equation solutions with positive probability densities Solutions to the Dirac Equation
  • Antiparticles prediction: Dirac sea interpretation and Feynman-Stuckelberg intrepretation 
  • Dirac particle u1(p), u2(p) and anti-particle spinors v1(p),v2(p)

Recommended reading: Chapter 4 of Mark Thomson's book. Chapter's 7.1-7.3 of D.Griffith's book.