
By John, editor Ross
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45 ELASTIC SCATTERING OF HIGH-ENERGY BEAMS Collimating hole I IA ! V Scatterine Detector plane Fig. 2. Scattering volume-detector geometry for a slightly divergent beam. all incident ray directions gives the expression for the cross section analogous to Eq. (24): s,, sc dx (36) 46 I. AMDUR AND J. E. JORDAN The limits and pz will depend on the specific geometrical arrangement of the collimating apertures in any given apparatus. The only cases for which Eq. (36) has been solved are those in which the scattering geometry permits several simplifications.
The small background correction in Eq. (23), 1 + c1, is actually a function of s so that the determination of K proceeds by successive approximations. The results obtained thus far have been limited to a beam of parallel 44 1. A M D U R A N D J. E. JORDAN rays striking a detector whose diameter is equal to that of the unscattered beam. Although it is possible t o construct an apparatus which essentially satisfies these two conditions, the geometry of some apparatus may not. It is interesting, therefore, to examine different beam-detector geometries.
1963. 20. C. Schwartz, private communication to Pollack et al. 21. A. Dalgarno and A. E. Kingston, Proc. Phys. (London), 72, 1053 (1958). 22. D. R. Bates and A. Damgaard, Phil. Trans. Roy. Soc. (London), A242, 101 (1959). 23. M. Mizushima, Nutl. Bur. Std. , 6009,Boulder, Colorado, 1958. 24. M. Sundbom, Arkiv Fysik, 13, 539 (1958). 25. D. Parkinson, Proc. Phys. Soc. (London), A75, 169 (1960). Advance in Chemical Physics, VolunzeX Edited by John Ross Copyright © 1966 by John Wiley & Sons. Inc. 2 ELASTIC SCATTERING OF HIGH-ENERGY BEAMS : REPULSIVE FORCES .