Figure 6:
Radial distribution of scattered particles at z=+1m.
The solid circles are those of the nominal beam condition; the dotted,
dashed and solid lines are those of =2,
=10 and =2,
respectively, where the other beam parameters are the same as those of
the nominal beam. The distributions are normalized by the total number
of particles of E>100MeV.
The maximum radius () seen in Fig.5(a) corresponds to the maximum deflection angle, since most of the particles obtain transverse momenta mainly due to deflection. Therefore, from a measurement of we can obtain information concerning (see Eq.14). A simulation has confirmed that depends mainly on , at least for 10 , as shown in Fig.6, where can be defined as the shoulder; =7.1 and 6.1cm for the nominal and the case of twice wider , respectively. Small tails due to scattering with large inherent angles are also observed beyond the shoulders. The ratio is found to be 0.86, which should be compared with 0.88 estimated by Eq.14. In order to estimate from the observed we have to know the beam intensity (N); it can be accurately measured by using monitors in the accelerators. We therefore expect a very good on-line measurement of .