Two- And Three-Body Correlations in Simple Gases

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Two- And Three-Body Correlations in Simple Gases
Groome, Lynn James
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Data from Figure 6-1 corrected for neutron absorption; xenon plus sample vessel (•), sample vessel alone (°).
161 If I (ft ,x ) is the intensity of neutrons scattered n-times, the n total scattering can be written as the sum I**(8,t) = I^B.t) + M(0,r) , (6-3) where M(0,x) represents the contribution due to multiple scattering of neutrons, M(e,x) = i 2 (e,x) + i 3 (6,t) + ... • (6-4) In the case of elastic scattering, Vineyard (76) introduced the approximation I (0) I (6) -6(6) , (6-5) i ,(e) i,
...(o) n-l 1 where 1.(0) is the integrated intensity 1.(0) = f dt l.(0,t) . (6-6) o With this approximation for higher-order scattering, the multiple scattering contribution becomes M(e) = 6(e) i w (e) , (6-7) and the single-scattered intensity (elastic) is simply I x (0) = I**(6) - M(6) . (6-8) Equation (6-7) is generalized to inelastic scattering with the assumption that the multiple scattering of neutrons approach thermal equilibrium so their distribution is Gaussian (77) with respect to the time-of -flight: 162 M (e , T ) m *Dm.

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