Cosmic Rays

Introduction

Cosmic rays are high-energy particles that originate outside the Earth’s atmosphere. These particles, which are primarily protons, are one of the few direct pieces of evidence we have of the processes occurring in the far reaches of the universe.

Basics of Cosmic Rays

Cosmic rays were discovered in 1912 by physicist Victor Hess, who demonstrated that the ionization of the Earth’s atmosphere increases with altitude, indicating the presence of radiation coming from outer space. The primary cosmic rays originate from astrophysical sources, such as supernovae, active galactic nuclei, and potentially even more exotic sources like gamma-ray bursts and collisions of dark matter particles.

Energy of Cosmic Rays

The energy of cosmic rays spans over ten orders of magnitude, with the highest energy cosmic rays observed to have energies above 10^{20} electron volts (eV). The energy distribution of cosmic rays arriving at Earth’s atmosphere is often represented by a power-law function:

\dfrac{dN}{dE} = KE^{-\gamma}

where dN/dE is the number of particles per unit energy interval, E is the energy of the particles, \gamma is the spectral index (typically around 2.7 for cosmic rays at Earth), and K is a normalization constant.

Interaction with the Earth’s Atmosphere

When cosmic rays enter the Earth’s atmosphere, they collide with atmospheric molecules, creating a cascade of secondary particles known as an air shower. This process can be approximated by the Heitler model, where the number of secondary particles N at a depth X in the atmosphere is given by:

N = N_0 2^{\frac{X}{X_0}}

where N_0 is the initial number of particles, X_0 is the radiation length (the average distance over which a high-energy electron loses all but 1/e of its energy), and X is the depth into the atmosphere.

Detection and Measurement

Cosmic rays are measured by ground-based detectors, balloon-borne detectors, and satellite-based detectors. The detectors measure the properties of the secondary particles in an air shower, such as their energy, number, arrival times, and arrival directions, to infer the properties of the primary cosmic ray.

Cosmic Ray Research and Unsolved Mysteries

Despite a century of research, there are still many unanswered questions about cosmic rays. The sources of the highest energy cosmic rays are still unknown, and there is a surprising lack of observed cosmic rays at certain energies, known as the “ankle” and the “knee” of the cosmic ray spectrum. Understanding these features could provide important insights into the nature and distribution of cosmic sources and the propagation of cosmic rays through the universe.

Conclusion

Cosmic rays provide a unique window into the universe and the fundamental processes that occur within it. The study of these particles continues to be a vibrant field of research, driving the development of new observational techniques and theoretical models.

Do you prefer video lectures over reading a webpage? Follow us on YouTube to stay updated with the latest video content!

Want to study more? Visit our Index here!


Comments

Have something to add? Leave a comment!