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Additional Emittance Plots

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 , unnormalised ) Twiss parameters and longitudinal momentum at TOF1 – see his thesis for details of the method.

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Additional Emittance Plots

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  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, 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...

  2. Pz vs. Momentum spread We see a similar amount of momentum spread for all the beams, increasing a little as we go to higher momentum.

  3. Momentum vs. Beam Size All beams are approximately the same physical size in both dimensions. Limited by scraping in quadrupoles?

  4. Momentum vs. Beta Function Beta function falls into “momentum bands”.  It looks like you can join together curves except that the data points belong to completely different beams!

  5. Momentum vs. Divergence Beam divergence decreases with momentum. Again, have the “momentum bands” and the desire to “join the dots” of unrelated data (careful!).

  6. Momentum vs. Emittance Emittance decreases with momentum. Positive beams have a slightly higher emittance overall (proton absorber). Again, careful with “joining the dots”.

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