By R. A. Latypova (auth.), Academician D. V. Skobel’tsyn (eds.)
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Extra resources for Programming and Computer Techniques in Experimental Physics
When the expression for 9~ given by Eq. 40) is integrated, it is important to take into account the energy dependence of the form AI (pv)2, where A is a constant which depends only on the material of the scatterer. Since, in our energy range, the protons are still nonrelativistic, the expression 1/(pv)2 can be expanded into aseries in powers of E/m, where E is the kinetic energy and m is the proton mass, and retain only the linear terms of the expansion. 13) Substituting this into Eq. 41a), and using Eq.
1. 8) must be verified for this quantity, thereby calculating the function gR itself. , the problem is considerably simpler. However, it is then necessary to consider all the points in the active volume. There are two opposing tendencies: on the one hand, we have reduced the time necessary for the calculations, since we no longer have to determine the exact boundaries of the active volume but, on the other, we have increased the time necessary to analyze (1. 8) and consider the nonactive parts of the target.
32) 34 L. 1. SWVOKHOTOV From Eqs. 31) it is clear TABLE 1 that z Forrnula (1. 37) (T36) (1. 33) o where <8 2 ;av is the mean square of the multiple-seattering angle ealeulated with allowanee for energy losses sinee, by definition, 2 8, = cl (6 2 )av -clt- = (' J El-j(El)dQ. 9 (1,34) If we now substitute Eq. 33) in the expression for the angular distribution function given by Eq. 32), we obtain (1. 35) To ealeulate 8~ we must use the differential seattering probability. In view of the foregoing diseussion there are several approximate expressions for 8~: 1.