The Nucleon Compton Effect: At Low and Medium Energies

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Compton Effect

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    The exponential laws that govern the decay and growth of radioactive substances were first formulated by Rutherford and Soddy in and then refined by Bateman in Activation of nuclides Activation of nuclides occurs when a stable parent isotope P is bombarded with neutrons in a nuclear reactor and transforms into a radioactive daughter D that decays into a granddaughter G: 1. An example of a decay is the decay of Ra into Rn with a half-life of years: 1. An example of b— decay is the decay of 60 Co nuclei into excited 60 Ni nuclei with a half-life of 5.

    An example of electron capture is the decay of I into Te in an excited state, which decays to the Te ground state through g decay and internal conversion: 1. Internal conversion: 1.

    Compton scattering - Wikipedia

    The resulting K shell vacancy is filled with a higher level orbital electron and the transition energy is emitted in the form of characteristic photons or Auger electrons. Through these collisions the electrons may lose their kinetic energy collision and radiative losses or change their direction of travel scattering. Energy losses are described by stopping power; scattering is described by scattering power. The collisions between the incident electron and an orbital electron or nucleus of an atom may be elastic or inelastic. In an elastic collision the electron is deflected from its original path but no energy loss occurs, while in an inelastic collision the electron is deflected from its original path and some of its energy is transferred to an orbital electron or emitted in the form of brems- strahlung.

    Energetic electrons experience thousands of collisions as they traverse an absorber, hence their behaviour is described by a statistical theory of multiple scattering embracing the individual elastic and inelastic collisions with orbital electrons and nuclei. The type of interaction that the electron undergoes with a particular atom of radius a depends on the impact parameter b of the interaction, defined as the perpendicular distance between the electron direction before the interaction and the atomic nucleus see Fig.

    Interaction of an electron with an atom, where a is the atomic radius and b is the impact parameter. The electron will emit a photon bremsstrahlung with energy between zero and the incident electron kinetic energy. The energy of the emitted bremsstrahlung photon depends on the magnitude of the impact parameter b; the smaller the impact parameter, the higher the energy of the bremsstrahlung photon.

    These types of energy loss are characterized by radiative stopping powers. However, as the velocity of the charged particle increases from 0 towards c, the angular distribution of the emitted photons becomes increasingly more forward peaked. When attention is focused on the absorbing medium, one is interested in the linear rate of energy absorption by the absorbing medium as the electron traverses the medium.

    The rate of energy absorption, called the linear energy transfer LET , is defined as the average energy locally imparted to the absorbing medium by an electron of specified energy in traversing a given distance in the medium. In radiation dosimetry this cut-off energy is usually taken as 10 keV, an energy that allows an electron just to traverse an ionization chamber gap of 1 mm in air. Delta rays are defined as electrons that acquire sufficiently high kinetic energies through hard collisions so as to enable them to carry this energy a significant distance away from the track of the primary particle and produce their own ionizations of absorber atoms.

    Mass scattering power When a beam of electrons passes through an absorbing medium, the electrons undergo multiple scattering through Coulomb interactions between the incident electrons and nuclei of the absorber. The angular and spatial spread of a pencil electron beam can be approximated by a Gaussian distri- bution.

    Compton scattering

    Photon beam attenuation The intensity I x of a narrow monoenergetic photon beam, attenuated by an attenuator of thickness x, is given as: 1. The two coefficients are related to m as follows: 1. Types of photon interaction Photons may undergo various possible interactions with the atoms of an attenuator; the probability or cross-section for each interaction depends on the energy hn of the photon and on the atomic number Z of the attenuator.