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Lecture Notes on Theoretical High-Energy Astrophysics

This course provides a comprehensive introduction to cosmic ray physics and astrophysics, covering the propagation of charged particles in turbulent magnetic fields, with diffusion as a natural implication. We will derive and utilize the transport (advection-diffusion) equation to describe cosmic ray propagation in the Galaxy and particle acceleration at shock waves. We will also outline key particle interactions and energy loss mechanisms in the Galactic and Extra-galactic environments, shaping cosmic ray spectra and producing secondary species like gamma rays, neutrinos, and antiparticles, which serve as diagnostic tools in multi-messenger astrophysics.

Syllabus

A detailed syllabus can be found here.

Suggested textbooks

The course material will be drawn from a combination of textbooks, journal literature, and my own lecture notes. The following textbooks provide excellent topical coverage:

  • Radiative processes in astrophysics, G.B. Rybicki and A.P. Lightman, Wiley, 1979
  • Foundations of High-Energy Astrophysics, M. Vietri, University of Chicago Press, 2008
  • High-energy radiation from Black Holes, C.D. Dermer, and G. Menon, Princeton University Press, 2009
  • Cosmic Rays and Particle Physics, T.K. Geisser, R. Engel, and E. Resconi, Cambridge University Press, 2016

Lecture Notes

Lecture notes can be found here

For feedback or to report any mistakes, please use the GitHub issues

Proposed exercises

Exercise sets are available as a single booklet here

Exercises solved (✅) and work in progress (🤔):

  • 🤔 Diffuse Synchrotron Emission from Galactic Cosmic Ray Electrons
  • ✅ Synchrotron energetics and Electron Cooling
  • ✅ Energy Loss and Diffusion of Electrons in the Galactic Environments
  • ✅ Characteristic Energy Loss Time for Cosmic Ray Electrons
  • ✅ Low diffusivity around TeV halos
  • 🤔 Constraints on the ExtraGalactic Background Light from very-high-energy observations of blazars
  • ✅ Universe reionization
  • 🤔 Luminosity Ratio of Cosmic Ray Protons and Electrons
  • ✅ Threshold of UHECR Photo-Disintegration
  • 😱 Threshold of Anti-proton secondary production