MULTI-PHONON PROCESSES IN SLOW NEUTRON SCATTERING BY CRYSTALS
The multi-phonon processes in incoherent scattering of slow neutrons by crystals are discussed, assuming the harmonic approxinmtion for the crystal vibrations. The differential scattering cross section is expanded in the Hermite orthogonal functions, and approximate expressions for the cross section are derived. Extensive numerical calculations have been carried out to illustrate the accuracy of the approximations made. An approximation for the total cross section (the massratio expansion) suggested by Placzek is discussed and in some respects generalized. The approximations for the difierential cross section mentioned above are also used to derive approximate formulas for the total cross section valid for cold neutrons but arbitrary temperatures and mass ratios. (auth)
- Research Organization:
- Univ. of Uppsala
- NSA Number:
- NSA-13-003212
- OSTI ID:
- 4310449
- Journal Information:
- Arkiv Fysik, Journal Name: Arkiv Fysik Vol. Vol: 14
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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