Resolution

I ran 1000 FAKE_EVENT 20 GeV Pt negative muons through GEANT. Of these, 74 failed to hit the chambers correctly. 84 times there was no stub found. I am investigating: this seems an unacceptably high failure rate.

The resulting stubs have distributions which can be seen in this PostScript file. The first two plots are the x/y position and the Z position of the muon as it exits the last cell in the Bmu system. This is provided by the monte-carlo. The first shows that the stack angles are not quite correct after the most recent revisions, and I need to revisit these. We see here hits in two adjacent stacks. The second plot shows the z-distibution of these hits.

The lower left plot is a chi-squared distribution, modulo some scale factor. The resolution found on the bench does not seem to agree with that found in the lab.

The lower right plot is the deviation between the position of the last hit as found by the monte-carlo and the position of the stub. There is a slight offset. The offset is larger for positive muons. I suspect the difference in the offsets (.00020 vs .00017) has to do with there being a residual non-radial component to the direction of the muon after passing through the magnetic fields. The rest of the offset is probably the alignment issue mentioned above in the orientation of the Bmu stacks.

With positive muons 66 missed the last cell and 66 were not found. The rate of muons missing the outer stack is consistent with the rate expected (75) due to cell wall and inter-cell gap inefficiencies.

1-March-2001 Update

There is a difference between the direction of positive and negative muons in the Bmu system, as tracked by GEANT. The first page of this postscript file shows the difference between its direction angle and its position angle, which reflects the deviation from radial direction. The second page shows the X/Y position of the missing tracks. These line up very nicely on the whole with the position of the gaps. I conclude that the inefficiency is largely geometric. I require 3 hits or more for a track, and a radial track which passes through one inter-cell gap is likely to pass through a second one, leaving only 2 hits behind.