Thompson Cross Section

For example the rutherford cross section is a measure of probability that an alpha particle will be deflected by a given angle during a collision with an atomic nucleus cross section is typically denoted σ and is expressed in terms of the transverse area that the.
Thompson cross section. 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 thomson differential cross section related to the sum of the emissivity coefficients is given by displaystyle frac d sigma t d omega left frac q 2 4 pi varepsilon 0 mc 2 right 2 frac 1 cos 2 chi 2 expressed in si units. It is called the classical electron radius.
It is m for electrons. Is called the thomson cross section. Q is the charge per particle m the mass of particle and.
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 e2 mc2 2. Cross section and compton scattering 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 e2 mc2 2. 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.
This is known as the classical thomson cross section. The quantity in parentheses has the units of length. When the incident energy of the photon h.
Physical properties of stars and stellar dynamics. As is easily demonstrated the total thompson scattering cross section is 1130 note that both the differential and the total thompson scattering cross sections are completely independent of the frequency or wave length of the incident radiation. Becomes comparable to the rest mass of the electron quantum mechanical efiects become important.
This number crops up quite frequently so you should remember it. In contrast the cross section of hydrogen ion exposed to photon flux we computed is four times the thomson cross section for the scattering of free electrons. In physics the cross section is a measure of probability that a specific process will take place in a collision of two particles.