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Hints for a systematic b3 in the TI8 main bends

Hints for a systematic b3 in the TI8 main bends. K. Fuchsberger. Contents. Kick response measurements Dispersion measurement. Kick - Response measurement. V response (MCIAV.80104). H response (MCIAH.80204). Vertical error increasing (phase). Off-momentum KR- measurments nominal model.

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Hints for a systematic b3 in the TI8 main bends

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  1. Hints for a systematic b3 in the TI8 main bends K. Fuchsberger

  2. Contents • Kick response measurements • Dispersion measurement

  3. Kick - Response measurement V response (MCIAV.80104) H response (MCIAH.80204) Vertical error increasing (phase)

  4. Off-momentum KR-measurmentsnominal model H: Dp/p dep. Only partly reproduced by model V: Phase error for Dp/p=0, but almost no Dp/p dep. of measured data. (Data: 2008-09-05) Kick-response measurements

  5. Off-momentum KR-measurmentsfitted model H: V: (Data: 2008-09-05) Kick-response measurements

  6. b3: flat-top-length dependent? Fits to Kick-response data: • b2, deltak/k, deltap/p unrealistic, but related by transformation. b3 is independent on FT length (average = -4.68) (Data: 2009-06-07)

  7. Dispersion, nominal model (Data: 2009-06-07)

  8. Dispersion nominal model 2nd order Dispersion higher than predicted by model! • BPM scaling polynomials applied • additional factor of 1/1.12 applied (after polynomials) (Data: 2009-06-07)

  9. Dispersion, model b3=-4.68 (Data: 2009-06-07)

  10. Dispersion, model b3=-4.68 !? • BPM scaling polynomials applied • additional factor of 1/1.12 applied (after polynomials) (Data: 2009-06-07)

  11. b3 – best estimate for the moment Results from fit: • Calc parameters from Kick-Response • With resulting values fit xi and Dp/p to Dispersion. • Fit Kick-Response with fixed Dp/p • Go to 2. (Data: 2009-06-07)

  12. Conclusions and Questions Preliminary Conclusions: • A model including b3 (between about -4 and -5 units) reproduces very well both the measured dispersion- and kick-response- data. • The effect is independent on the flat-top length. Questions: • What is a realistic (measured) average value for a b3 the MBIs used in TI8? • What else could be the source of the observed effects?

  13. Thank You!

  14. Fit to extract deltap/p and xi (Data: 2009-06-07)

  15. Dispersion using this model (without xi) !? (Data: 2009-06-07)

  16. Model of Dp-dependence with Relation to madx strengths:

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