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Progress Report on work on non-linear response of FMS
Summary of progress:
- Based on pion peak position as a function of the two photon energies, a best approximation for the correction is reported with a 5th order polynomial in energy for the photon energy correction.
- The fit works fairly well for pions, in most kinematic regions better than 5%.
- There is evidence of underestimated correction at below 10GeV and over correction at about 20GeV.
- Small Cell North and South are very similar.
- From Eta analysis, when 1 photon has energy of about 7 GeV, the Eta mass is quite low and the corrections implied by the model are low by about 10%. When 1 photon has energy of about 12 GeV, the corrections are about right. When 1 photon has energy of about 16 GeV, the corrections are too high by about 5%.
- Although the correction of was designed for small cells, we applying the same corrections to events with 1 photon in small cells and one in large cells, the Eta’s are observed to require corrections that are smaller by about 10% than those proposed. It does not matter very much if the more energetic photon is in the small cells or large cells.
- We show a pion peak analysis with two photons in the large cell FMS. Analysis of 1 low energy (7 GeV) and variation in energy of the higher energy photon, suggest that for North Large Cells we need a very different correction function. North Large corrections for soft photons my be as much as 20% less that that of the small cell and the slope may be slightly positive.
- We next need to investigate the difference between reconstruction algorithms used for well separated photons and overlapping photons.
- Unlike Small Cells, the North and South corrections will apparently be very different for large cells.
For details and plots, see attached pdf.
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