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Measurement of tex2html_wrap_inline745

 figure248
Figure 7:   Azimuthal angular distributions measured for 6< r < 7cm at z=+1m for R=85.5(solid circles), 42.8(solid line), 28.5(dotted one) and 8.55(dashed one) corresponding to tex2html_wrap_inline1065, 2tex2html_wrap_inline1015, 3tex2html_wrap_inline1015 and 10tex2html_wrap_inline1015, respectively. The distributions are normalized by the total number of particles. The angular regions of tex2html_wrap_inline1073(left), tex2html_wrap_inline1075(right), tex2html_wrap_inline1077(down) and tex2html_wrap_inline925(up) are also shown.

 figure252
Figure 8:   Number of particles in tex2html_wrap_inline1073 and tex2html_wrap_inline1075 normalized by that in tex2html_wrap_inline1077 and tex2html_wrap_inline925 as a function of R. The same data are used as in the previous figure. The errors are statistical, corresponding to 160 bunch crossings, except for the lowest R, which corresponds to 800 bunch crossings.

Figure 7 shows the azimuthal angular distributions measured for 6< r < 7cm at z=+1m for various values of tex2html_wrap_inline745's, where 4 angular regions are defined for further numerical studies, i.e.  tex2html_wrap_inline1073(left)tex2html_wrap_inline1101, tex2html_wrap_inline1075(right)tex2html_wrap_inline1105, tex2html_wrap_inline1077(down)tex2html_wrap_inline1109 and tex2html_wrap_inline925(up)tex2html_wrap_inline1113. By comparing this figure with Fig.4 we can clearly see that the linear dependence on R of the yields in the depletion region is preserved through the motion in the solenoid. The effect of the horizontal crossing can still be seen in Fig.7; that is, there is more depletion on the left side(tex2html_wrap_inline1073) than on the right (tex2html_wrap_inline1075). The numbers of particles are expected to be 2.4, 3.5, 120, and 120 per single-bunch crossing in tex2html_wrap_inline1073, tex2html_wrap_inline1075, tex2html_wrap_inline1077 and tex2html_wrap_inline925, respectively, under the nominal beam condition. The statistics will actually be much better because the beam pulse contains 72 bunches. Thus, there will be no problem in the statistical sensitivity for this measurement, although the yields decrease inversely proportional to tex2html_wrap_inline745. The ratio of tex2html_wrap_inline1131 is plotted as a function of R in Fig.8. Actually, this ratio depends only on R, as expected by Eq.13. Since tex2html_wrap_inline747 is measured from tex2html_wrap_inline1027, we can obtain tex2html_wrap_inline1141 by this azimuthal angular distribution. The statistical accuracy will be less than 0.1tex2html_wrap_inline1015 with a few pulse-train crossings if no significant background exists.


next up previous
Next: Measurement of vertical displacements Up: Results Previous: Measurement of

Toshiaki Tauchi
Sat Dec 21 00:34:16 JST 1996