1. Accelerator Plans at KEK
John W. Flanagan, KEK
Super B Factory Workshop
Honolulu
19 January 2004

2. LoI: Accelerator Design for a Super B Factory at KEK
Machine Parameters
Beam-Beam Interactions
Lattice Design
Interaction Region
Magnet System
Impedance and Collective Effects
RF System
Vacuum System
Beam Instrumentation
Injector Linac
Damping Ring
Construction Scenario

3. SuperKEKB Machine Parameters

4. Beam-Beam Interactions
Simulation Methods
Particle distribution
Gaussian: bunch shape fixed
Particle-in-Cell (PIC): arbitrary bunch shape possible
Should be more accurate, though numerical noise may be a problem.
Coherent dipole motion causes growth in beam size and reduction of luminosity in PIC model. (Not seen in Gaussian model).
Beam-beam limit (zero crossing angle)
Tune difference may help smear out coherent motion.
Improvement in luminosity with
different tunes (~KEKB)

5. Simulation: Crossing Angle Dependence
Luminosity reduced with a crossing angle
Geometric effects
Nonlinear diffusion -> beam size growth

6. Simulation: Crab-Crossing
Crab-crossing restores full luminosity of a head-on collision.

7. Simulation: Other Parameters
Lower horizontal beta function improves luminosity.
Lower emittance does not.
Best current ratio: 10A (LER) / 4.4 A (HER)
Energy transparency ratio

8. Beam Optical Parameters of SuperKEKB:
Lattice Design
Beam Optical Parameters of SuperKEKB:

9. Non-interleaved 2.5-Pi Cell
Lattice
Non-interleaved 2.5-Pi Cell
Wide tunability of
horizontal emittance,
momentum compaction
factor.
Principle nonlinearities in
sextupole pairs cancelled
out to give large dynamic
aperture

10. Lattice
IR region: main difference from KEKB is greater overlap of solenoid field on final-focus quadrupoles. No major issue found.
Transverse dynamic apertures:
LER ok
HER under study
Refine modelling of IR fields
LER dynamic aperture
Red: injected beam

11. Interaction Region Crossing angle: +/- 15 mrad is working assumption.
Horizontal beta function at IP and horizontal emittance chosen based on beam-beam simulations to maximize the expected luminosity.

12. Interaction Region
Move final focus quadrupoles closer to IP for lower beta functions at IP.
Preserve current machine-detector boundary.
Rotate LER 8 mrad.
QCS and solenoid compensation magnets overlap in SuperKEKB.
Issues:
QC1 normal or superconducting?
Dynamic aperture => need damping ring for positrons, at least.

13. Magnet System
Outside of the IR, will largely reuse present KEKB magnets, with some modifications and upgrades for new vacuum system, crab cavities.

14. Impedance and Collective Effects
Resistive Wall Instability
Growth rates ( s^-1) lower than damping rate of feedback system (5000 s^1).
Closed Orbit Instability due to long-range resistive wake (Danilov)
Thresholds (12.3/12.2 mA for LER/HER) above design currents.
Electron Cloud Instability (Positron Ring)
With ante-chambers and positrons in the HER, simulations show that 60G solenoid field should clear the electrons. Uncertainties:
Distribution on walls and amounts of electrons.
Behavior of electrons inside lattice magnets.
Ion Instability (Electron Ring)
Currently suppressed by feedback.
With electrons in LER, simulated initial growth rate faster than feedback damping rate, leading to dipole oscillation with amplitude of order of vertical beam size => possible loss of luminosity.
Coherent Synchrotron Radiation
Rough numerical approximation of CSR in LER bends shows that beam pipe radius is small enough to shield beam from energy loss at 6 mm bunch length, but at 3 mm bunch length the transient energy change has an amplitude of 1.5 keV (depending on location in bunch).
Investigations just started.

15. RF System ARES Cavity System Superconducting Cavity (SCC) System ARES
Normal-conducting cavities with energy-storage cavities attached.
LER & HER
Superconducting Cavity (SCC) System
High cavity voltage
HER only
ARES
SCC
Total number of RF units at KEKB and SuperKEKB.
One unit = one klystron + 1 SCC or 1(2) ARES at SuperKEKB (KEKB)

16. RF Parameters

17. Coupled-Bunch Instabilities due to RF Cavities
Longitudinal bunch-by-bunch feedback system will be needed.
New HOM dampers developed for ARES and SCC

18. Crab Crossing
Originally included as an option for KEKB, but have managed to reach design luminosity without them.
Simulations indicate that they will be needed to go from 1e35 to 5e35/cm^2/s.
New cavity being developed for higher beam currents
Current plan is to start at KEKB with a single crab cavity in Nikko
Beam will be crabbing all the way around the ring.

19. Vacuum System Intense synchrotron radiation
27.8 kW/m in LER, twice as high as in KEKB
21.6 kW/m in HER, 4 times as high as in KEKB
=>Ante-chamber structure
Also motivated by need to reduce photo-electron clouds.

20. Vacuum System Prototype ante-chamber tested at KEKB
Combined with solenoid field is very effective at reducing photoelectron build-up.

21. Vacuum System HOM power losses
Excessive heating
Minimize loss factors
Largest loss factors at movable masks which protect detector from particle background
Resistive wall and bellows are next.
HOM absorbers to be installed near large impedance sources
T0 = revolution period (10 usec)
k = loss factor
I = beam current
nb = number of bunches

22. Vacuum System
HOM dampers have been developed for masks, to reduce heating of pump elements near masks.
Winged damper with SiC rod based on type developed for ARES.
Successfully cured pressure rise due to heating of pump elements at KEKB
Absorbs 25% of 20 kW generated
HOM power of mask in SuperKEKB will reach 200 kW
Efficiency and capacity of HOM damper need to be improved.

23. Vacuum System Pumping scheme Flange and Bellows
Pressure requirement: Average pressure of 5e-7 Pa to achieve a beam lifetime of 10 hours.
1e-7 around IP to minimize beam background in detector.
<1e-6 locally in electron ring to keep ion trapping below level that can be handled by feedback.
Adopt distributed pumping scheme, a strip-type NEG.
To reduce number of high-current feedthroughs, U-shaped strip is used.
Flange and Bellows
Helocoflex outside with copper (MO?) RF bridge inside
Bellows heating requires better RF shield

24. Vacuum System Comb-type RF shield developed to replace RF fingers.
Tests at KEKB very promising.
Development continuing.

25. Beam Instrumentation Beam Position Monitors
Bunch-by-Bunch Feedback System
Synchrotron Radiation Monitors
HER and LER SR Monitors
Damping Ring SR Monitor

26. Beam Position Monitors
Use same front-end electronics.
New button electrodes
New connector design for improved reliability.
12 mm -> 6 mm diameter
Signal power same as at present, at higher beam currents, to match dynamic range of existing front-end electronics.

27. Bunch-by-Bunch Feedback
New BPMs for higher beam currents.
Transverse feedback similar to present design
Detection frequency 2.0 -> 2.5 GHz.
Automated LO phase and DC offset tuning.
Transverse kicker needs work to handle higher currents
Improved cooling, supports for kicker plates.
Longitudinal feedback to handle ARES HOM and 0/Pi mode instability
Use DAfNE-type (low-Q cavity) kicker.
QPSK modulation with center frequency 1145 MHz (2.25 x RF freq.)
Digital FIR and memory board to be replaced by new GBoard under development at/with SLAC.
Low noise, high speed (1.5 GHz), with custom filtering functions possible.
Extensive beam diagnostics.

28. SR Monitors
Current extraction chamber (copper) may need increased cooling.
HOM leakage needs to be measured (500 W predicted at full current).
May need absorbers
Direct mirror heating from SR irradiation should be minimized.
Increase bend radius of weak bends
Lowers total incident power.
Also increases visible light flux – desirable to help see effect of single crab cavity.

29. Second SR Monitor for Dynamic Beta Measurement
Build a second SR source in each ring
Using known phase advance between two locations, can measure the dynamic beta effect due to beam-beam collisions.
Correct beam size estimation at IP
More importantly, can monitor beam-beam parameters directly, in real-time.
Useful for luminosity tuning.
Second source: create a local bump near current source
Minimize disturbance to lattice
Can use existing optics huts.

30. Damping Ring SR Monitor
Gated camera for imaging turn-by-turn bunch size damping.
Up to 4 bunches in ring at one time, at two different stages of damping.
Diffraction-limited resolution below 10% if optical line not too long (~10 m).

31. Injector Linac Intensity Upgrades Energy Upgrade
Electron: increase bunch current from pre-injector
Positron: stronger focusing field in capture section after target
Energy Upgrade
Replace S-band (2856 MHz) RF system with C-band (5712 MHz) system to double field gradient in downstream section of linac.

32. Energy Upgrade Pulse beam kicker installed before positron target for
quick switching between
beams (50 Hz).

33. C-Band Klystrons Prototype C-band structure
installed and tested at linac
using actual beam (2003).
Measured field gradient of
41 MV at 43 MW agrees with
expectation.

34. Linac BPMs
Upgrade read-out oscilloscopes with newer models capable of full 50-Hz read-out.

35. Damping Ring
Positron emittance needs to be damped, to pass reduced aperture of C-Band section and to meet IR dynamic aperture restrictions.
Electron DR may be considered later to reduce injection backgrounds in physics detector, but for now only positron DR considered.
Damping ring located downstream of positron target, before C-Band accelerating section.

36. Damping Ring
Energy Compression System (ECS) in Linac-To-Ring (LTR) line, to meet DR energy acceptance requirements.
Bunch Compression System (BCS) in Ring-To-Linac (RTL) line to accommodate short bunch length needed by C-Band accelerating structures.

37. Damping Ring Parameters
RF: Use KEKB ARES cavity (509 MHz)

38. Damping Ring Lattice
FODO cell has large dynamic aperture, but large momentum compaction factor increases required accelerating voltage.
Reversing one of the bends reduces the momentum compaction factor.
Adopt reverse/forward ratio of ~1/3
FODO cell w/alternating bends
Dynamic aperture
Green = injected beam, red = 4000 turns max deviation
(thick = ideal machine, thin = machine errors included)

39. Construction Scenario
The upgrade of KEKB to SuperKEKB is proposed for around 2007.
R&D and production of various components will be done in the first four years in parallel with the physics experiment at KEKB.
The installation will be done during a one year shutdown in 2007, and then the commissioning of SuperKEKB will begin.

44. Summary LoI is in draft stage.
SuperKEKB at L=~5e35/cm^2/s can be built.

45. Machine Parameters Luminosity: Beam-beam parameters:
Energy transparency:

46. Beam-beam blowup Evolution of luminosity and beam size in
weak-strong (PIC) and exact solution
(Gaussian) models