INELASTIC SCATTERING AND THE BOLTZMANN EQUATION
- Author
- Terrall, J. R.
- Published
- United States : [publisher not identified], 1962.
[Oak Ridge, Tennessee] : [U.S. Atomic Energy Commission], 1962. - Physical Description
- microopaque : positive ; 8 x 13 cm
- Summary
- BS>The restrictions imposed by energy-momentum conservation on the scattering integrals in the Boltzmann equatton were derived for both photons and matter particles. The assumption was made that the binding energies, motions, and posttion correlations of the scatterers in the medium are negligible. The angle integrations in the scattering integrals were performed analytically with the result that integrals over the energy before scattering were left. From the relativistic equations for the general two-product collision process, the relations which apply in the elasti c and inelastic scattering of photons and matter particles were derived as specinl cases. It was found that, in the case of nonrelativistic particles, the inelastic contribution to the particle flux at a given energy E comes from an energy range before scattering which is broader than the range from which elastic contributions come by the factor STA1 + (1 -- m/ M)E/sub ex//E!/sup 1/2/. (E/sup ex/ is the excitation energy of the scatterer in tts residual state, while m and M are the rest energies of the scattered particle and scatterer, respectively.) For photons this factor is STA1 + (1 + E/sub ex// 2M) E/sub ex//E!. On the other hand, though these factors may be large at low energies, there is a kinematical factor in the scattering probability function which works in favor of elastic scattering. Certain integrals of the scattering probability functions were evaluated as a further means of comparing inelastic and elasti c scattering from a given target. (auth)
- Report Numbers
- UCRL-6559-T
- Other Subject(s)
- Collection
- U.S. Atomic Energy Commission depository collection.
- Note
- DOE contract number: W-7405-ENG-48
NSA number: NSA-17-005205
OSTI Identifier 4769293
Research organization: California. Univ., Livermore. Lawrence Radiation Lab.
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