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Beam profile vs time

Analyzed Vx vs. Vy distributions over time for Runs 72, 73, and 74. Binned distributions with same Vernier scan location, no Z vertex cuts. Gaussian Multiplication assumptions. Summary of Beam-Beam events calculated from distributions. Horizontal and Vertical Vernier Scan Slopes evaluation. Statistical error analysis. Conclusion on beam widths.

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Beam profile vs time

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  1. Beam profile vs time • Analyzed Vx vs Vy distributions vs time for • Run 72 (13:26:02 – 28:25) • Run 73 (13:36:10 – 13:37:30) • Run 74 (43:12 – 44:21) • Binned distributions with the same Vernier scan location • No Z vertex cuts • Cut on Vr < 2 Rosi Reed rjreed@ucdavis.edu 6/9/08

  2. Gaussian Multiplication • Beam is gaussian in shape • Distribution of collisions in xy space is equal to the beam distributions multiplied by each other • Also gaussian in shape

  3. Assuming the beams have the same width

  4. Vernier Scan

  5. Beam profile vs time Summary # Beam-Beam Events Calculated from Vx vs Vy distributions

  6. Plots with less than 12 data points not included

  7. Beam Sigmas calculated from formula on pg 3 Error reflect statistical error only Sigma X = 1.75 mm +/- .20 Sigma Y = 2.40 mm +/- .15 If our assumptions are correct, these distributions should be flat

  8. Horizontal Vernier Scan Slope should be +/- 0.5 if our assumptions were correct

  9. Vertical Vernier Scan Slope should be +/- 0.5 if our assumptions were correct

  10. Some comments • I noticed that as the good event rate went down, the ratio of good events to beam pipe events went down • I would like to quantify this next week • No events with a vertex in Run 72 between 13:23:29 and 26:02 • I have not looked at what happened in Run 73 between ~13:30 and 35 • We conclude that the widths of the beams are • Sigma X = 1.75 mm +/- .20 • Sigma Y = 2.40 mm +/- .15

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