Thomson Cross Section

Other articles where thomson cross section is discussed.

Thomson cross section. Thomson scattering とは ニュートン力学的に考察する事の出来る束縛を受けていない自由な荷電粒子による 古典的な電磁波の散乱で 弾性散乱の一種である イギリスの物理学者であるj. Thomson scattering 2 the force is due to a linearly polarizesd wave. Cross section and compton scattering.

This cross section is called the thomson cross section symbolized by the greek letter sigma with subscript zero σ 0 and is equal to a numerical factor times the square of the term electric charge squared divided by electron rest energy or σ 0 8π 3 e 2 mc 2 2. Thus when scattering radiation. If the charged particle in question is an electron then equation reduces to the well known thomson scattering cross section 1288 the quantity m is called the classical electron radius it is the radius of spherical shell of total charge whose electrostatic energy equals the rest mass energy of the electron.

The particle s kinetic energy and photon frequency do not change as a result of the scattering. In physics the cross section is a measure of probability that a specific process will take place in a collision of two particles. The total scattering cross section for thomson scattering equal to 8 3 π e 2 mc 2 2 where e and m are the charge in electrostatic units and mass of the scattering particle and c is the speed of light.

Thomson scattering is the elastic scattering of electromagnetic radiation by a free charged particle as described by classical electromagnetism it is the low energy limit of compton scattering. The dipole moment is which describes a dipole with amplitude taking into account the larmor s formula the time averaged emitted w is where is the differential cross section for the scattering f e e o sin o t d e r d e r. Further the theoretical scattering cross sections were calculated by a numerical integration in intervals of 0 01 degrees using form factor and incoherent scattering functions along with the thomson scattering cross section and klein nishina cross sections in the integrand respectively see hubbell et al.

This limit is valid as long as the photon energy is much smaller than the mass energy of the particle. Thomson cross section 1 so 2 in cgs 3 where is the charge on the electron m is the mass of the electron c is the speed of light and is the classical electron radius.