[MUSIC] In this module, we are touching the basics of particle acceleration and detection techniques. In this video, we show how light charged particles interacts with matter. These interactions are used to detect these particles. At the end of this video, you will know the energy loss by ionization and excitation for electrons. And the energy loss by radiation, specific to light particles. For light particles like electrons and positrons, things get slightly complicated. The formula for dE/dx is similar to that for heavy particles. But the special properties of scattering between electrons, the Møller scattering, and between electrons and positrons, Bhabha scattering, come in. The difference between dE/dx for electrons and positrons is however not very large. But there is an important difference between light and heavy particles. Since light projectiles and atomic electrons are of comparable mass, interaction with atomic electrons causes bremsstrahlung. The energy loss, dE/dx by this process, is proportional to the energy of the projectile. The material properties that come into play can be combined into a single constant, the radiation length X_0. By integrating the energy loss, we can calculate the remaining energy, E(x) of the electron. It is a function which decreases exponentially with the penetrated material depth x. The radiation length is then given as the path length after which the energy of the projectile is reduced by a factor of e. To obtain the energy loss, dE/dx, or the radiation length in terms of the target surface density, one must take into action the volume density of rho of the material. Many material properties are tabulated by the Particle Data Group, particularly the volume density and the radiation length, that you can find on the web page quoted here at the bottom of the page. A property specific to positrons is that they can annihilate with atomic electrons of the material. This process is important at low energy that is at the end of the path just before the positron stops. From annihilation at rest, two photons are emitted back to back, each with an energy equal to the mass of the electron, which is 511 keV. At energy above about 10 MeV, electrons and positrons lose energy mainly by bremsstrahlung, which dominates over ionization and excitation. This means that many photons are produced when high energy electrons go through matter. Those are mostly converted into electron-positron pairs, as discussed in the next video. And these pairs will emit photons in turn. In this way, high energy electrons generate electron photon showers in matter, which are populated by a large number of particles. The strong interaction of hadrons with the nuclei of the material can also cause showers called hadronic showers. These are typically less populated at comparable energies because the lightest hadron, the pion, has a mass of about 100 MeV. For the same reason, they are wider and less regular than electromagnetic showers. Again, the table provided by the Particle Data Group summarizes the properties or materials often used in particle detectors. The characteristic lengths for nuclear interaction are typically comparable to the radiation length for lighter materials but much higher for heavy materials. In the next video, we will discuss in more detail how photons interact with matter. [SOUND]