additional emittance plots the following plots are derived from mark’s analysis of the step 1 data...
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![Page 1: Additional Emittance Plots The following plots are derived from Mark’s analysis of the Step 1 data taken in approx. August 2010. Mark derived the (rms,](https://reader035.vdocuments.us/reader035/viewer/2022072005/56649ce15503460f949abd8d/html5/thumbnails/1.jpg)
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Additional Emittance PlotsThe following plots are derived from Mark’s analysis of the Step 1 data taken in approx. August 2010.
Mark derived the (rms, unnormalised) Twiss parameters and longitudinal momentum at TOF1 – see his thesis for details of the method.
The final part of his method was to apply a blind cut to the data, only considering the Gaussian-like interior region of the beam. Then remake the covariance matrix and extract the parameters.
Caveat: I only have the numbers derived from the beam’s covariance matrix before this cut was done.
Would like to discuss interesting aspects...
![Page 2: Additional Emittance Plots The following plots are derived from Mark’s analysis of the Step 1 data taken in approx. August 2010. Mark derived the (rms,](https://reader035.vdocuments.us/reader035/viewer/2022072005/56649ce15503460f949abd8d/html5/thumbnails/2.jpg)
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Pz vs. Momentum spreadWe see a similar amount of momentum spread for all the beams, increasing a little as we go to higher momentum.
![Page 3: Additional Emittance Plots The following plots are derived from Mark’s analysis of the Step 1 data taken in approx. August 2010. Mark derived the (rms,](https://reader035.vdocuments.us/reader035/viewer/2022072005/56649ce15503460f949abd8d/html5/thumbnails/3.jpg)
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Momentum vs. Beam SizeAll beams are approximately the same physical size in both dimensions. Limited by scraping in quadrupoles?
![Page 4: Additional Emittance Plots The following plots are derived from Mark’s analysis of the Step 1 data taken in approx. August 2010. Mark derived the (rms,](https://reader035.vdocuments.us/reader035/viewer/2022072005/56649ce15503460f949abd8d/html5/thumbnails/4.jpg)
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Momentum vs. Beta FunctionBeta function falls into “momentum bands”.
It looks like you can join together curves except that the data points belong to completely different beams!
![Page 5: Additional Emittance Plots The following plots are derived from Mark’s analysis of the Step 1 data taken in approx. August 2010. Mark derived the (rms,](https://reader035.vdocuments.us/reader035/viewer/2022072005/56649ce15503460f949abd8d/html5/thumbnails/5.jpg)
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Momentum vs. DivergenceBeam divergence decreases with momentum. Again, have the “momentum bands” and the desire to “join the dots” of unrelated data (careful!).
![Page 6: Additional Emittance Plots The following plots are derived from Mark’s analysis of the Step 1 data taken in approx. August 2010. Mark derived the (rms,](https://reader035.vdocuments.us/reader035/viewer/2022072005/56649ce15503460f949abd8d/html5/thumbnails/6.jpg)
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Momentum vs. EmittanceEmittance decreases with momentum. Positive beams have a slightly higher emittance overall (proton absorber). Again, careful with “joining the dots”.