An Optimization of Positron Injector of ILC

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An Optimization of Positron Injector of ILC Masao KURIKIa)b), J. Urakawab), M. Satohb), and S. Kashiwagic) a)adsm, Hiroshima Uniersity, b)kek, c)rceps, Tohoku University BeamPhysics WS 2013 in OIST, Okinawa 1

1.ILC, International Linear Collider 2.ILC Positron Source 3.300Hz conventional scheme 4.Injector Optimizatoin 5.Conclusion BeamPhysics WS 2013 in OIST, Okinawa 2

1.ILC, International Linear Collider 2.ILC Positron Source 3.300Hz conventional scheme 4.Injector Optimizatoin 5.Conclusion BeamPhysics WS 2013 in OIST, Okinawa 3

Livingston Plot : Moore's law in Particel Accelerator From Symmetry Magazine Rapid progress has been made by continous evolution. 1e+18 ev 1e+17 Proton storage ring collider 1e+16 1e+15 1e+14 like a multi-stage rocket! Proton synchrotron 1e+13 1e+12 1e+11 e+e- storage ring collider cyclotron 1e+10 Electron linac 1e+9 1e+8 1e+7 2010 2000 1990 1980 1960 1950 1940 1930 1970 betatron 1e+6 What is the next stage? BeamPhysics WS 2013 in OIST, Okinawa 4

Storage ring and LINAC LINAC not at all Storage ring Energy loss C γ E4 Δ E= βρ Linac is the only solution to reach higher energy! (beyond LEP2 energy) BeamPhysics WS 2013 in OIST, Okinawa 5

International Linear Collider CME - 240-500 GeV It is the only way to reach higher energy with e+ e- collider. BeamPhysics WS 2013 in OIST, Okinawa 6

ILC Luminosity Event rate N =σ L Luminosity Beamstrahlung sy sy««sx sx Keep Keepluminosity luminosityand andsurppress surppress Beamstrahlung and Disruption. Beamstrahlung and Disruption. Disruption Parameter Value Luminosity 1.8x1034cm-2s-1 Horizontal size 640 nm Vertical size 5.7 nm Bunch length 300 mm Vertical Disruption 19.4 RMS energy by BS 2.4% Horizontal emi. 10 mm.mrad Vertical emi. 0.04 mm.mrad f rep nb N 2 L= 4πσx σy ΔE N2E 2 2 E (σ x +σ y ) σ z 2Nr e σz Dx, y= γ σ x, y (σ x +σ y ) 7

Major Physics Proces in ILC Energy Reaction Physics Goal 91 GeV e+e- Z ultra-precision EW 160 GeV e+e- WW ultra-precision Wmass 250 GeV e+e- Zh precision Higgs coupling 350-450 GeV e+e- tt e+e- WW e+e- nnh top quark mass and coupling precision W coupling precision Higgs coupling 500 GeV e+e- ff e+e- tth e+e- Zhh e+e- cc e+e- AH, H+H- precision search for Z' Higgs coupling to top Higgs self coupling search for super-symmtery search for extended Higgs sector 1000GeV and more.. Confirm SM model-independently! (Hopefully, it would be broken)

1.ILC, International Linear Collider 2.ILC Positron Source 3.300Hz conventional scheme 4.Injector Optimizatoin 5.Conclusion BeamPhysics WS 2013 in OIST, Okinawa 9

Positron Source Positron production is a complicated business. Amount of e+ is 50 times larger than that in SLC (SLAC Linear Collider, the first linear collider in the world). Staging approach to minimize possible risks and maximize physics potential. 1st stage : Unpolarized e-driven e+ source. (no polarizatino, but conventional ) 2nd stage: Polarized undulator driven e+ source. (polarized, but totally new)

Undulator Positron Source To generate gamma ray from undulator (10mm lu) radiation, >130GeV electron beam for collision is shared. Helical undulator for polarized gamma ray generation. The beam structure has to be identical to that in ML, i.e. 1ms pulse duration.

Undulator Positron Source Pros and Cons Positron can be polarized (30-60%). Relatively less heat load on target. Require >130GeV drive beam. Share the e- beam for collision. The pulse structure is fixed, 1ms. Need physical path length adjustment. Undulator section is up to 230m. System demonstration prior to the construction is difficult. Shinkansen wheel in vacuum

Path Length Condition DR Bucket where the generated positron is accepted should be vacant. Self-reproduction condition: Positron goes to a bucket where the collision partner (electron) was. Another condition is for collision. The path length adjustment has to be made by physical length adjustment (timing shift can not make it). For collision: L1+ L 2 =Δ1 +Δ 2+ L3, For self reproduction : L1 + L 4 =Δ 2+nC DR, L3+ L 4 +Δ1 =L 2 +nc DR, 13

1.ILC, International Linear Collider 2.ILC Positron Source 3.300Hz conventional scheme 4.Injector Optimizatoin 5.Conclusion BeamPhysics WS 2013 in OIST, Okinawa 14

300Hz Conventional Positron Source Several GeV e- beam on W-Re target. By manipurating the beam structure (64ms pulses), heat load on the production target is manegeable. It could be 5 m/s. Marathon runner in Vacuum 15

300Hz Conventional Positron Source Several GeV drive beam. Several X0 conversion target. AMD(Adiabativ Matching Device) for pt compenstaion; B0~7.0T. S-band or L-band Standing wave linac for capture. 25MeV/m. 6GeV, 15mm (W) target, 4mm rms beam size as a working assumptions.

Decceleration Capture The positron peak is on deceleration phase. These positrons are slipped down to the acceleration phase where these positrons are captured. Slight enhancement on the capture efficienty, and less longitudinal emittance (z-d). time=3.5e-009 time=7.2e-009 200 180 180 180 160 160 160 140 140 140 120 120 120 100 100 100 G 200 G G time=2.5e-009 200 80 80 80 60 60 60 40 40 40 20 20 20 0 0.22 GPT 0.23 0.24 0.25 0.26 z 0.27 0.28 0.29 0 0.51 GPT 0.52 0.53 0.54 0.55 0.56 z 0.57 0.58 0.59 0.60 0 1.62 GPT 1.63 1.64 1.65 1.66 z 1.67 1.68 1.69 1.70

Pulse Structure and Beamloading Positrons are accelerated by triplet multi-bunch pulse. The triplet pulse is repeated in 300Hz. Transient beamloading should be compensated, otherwise, the beam is not accepted by DR. 264ns 100ns 44 bunches 6.15ns spacing 0.55A 44 bunches 6.15ns spacing 0.55A 0.55A 44 bunches 6.15ns spacing 0.55A 100ns

Beamloading Compensation by AM Beamloading compensation by AM (Amplitude Modulation) is considered. By solving RF enevelope giving a flat acceleration for the triplet, the acceleration field with the beamloading becomes flat. Acceleration voltage by a flat RF (E0), Beamloading term To compensate the transient beamloading, AM is introduced as follows, For steady beam loading suppression For transient beam loading suppression

Beamloading Compensation by AM Acceleration voltage by AM RF (E0 +E1+E2 ), Solution for the flat acceleration V(no beam) loading V(with beam) V(beam loading)

Multi-Pulse Acceleration Same method can be extended to the multi-pulse case. AM should be applied to not only on the pulse head, but also pulse interval; VRF (no AM) M. Satoh AM RF pulse Beam pulse VRF (AM)

1.ILC, International Linear Collider 2.ILC Positron Source 3.300Hz conventional scheme 4.Injector Optimizatoin 5.Conclusion BeamPhysics WS 2013 in OIST, Okinawa 22

Positron Capture Simulation By assuming the beamloading compenstaion, any loading effect is not involved. e+ distribution was made by GEANT4. Tracking simulation in the injector section ( <250MeV) by GPT; AMD positron capture (B0~7.0T) followed by solenoid focusing section (0.5T) with S-band Acceleration tube (25MeV/m). Booster linac and EC (Energy Compressor) is treated as linear transformation. e- linac e+ capture target e+ booster EC DR

DR acceptance DR acceptance is gax+gay<0.07m 0.015 de<1.5%, dz<0.07m (FW) By considering RF acceleration in S or L-band, wider de is desirable even with less dz.

Phase-space Matching with EC Matching with EC is considered. Transfer matrix of EC (R means R56). r1(ec entrance) is written by r2 (EC exit). Effective DR acceptance is operable by EC(R).

Optimization de by RF de by Capture de Acc. with EC f shows the allowed dinj R56=1m is likely to be OK.

d-z phase-space 1000 electrons impinge on the target. >8000 positrons are generated. 1100 positrons are survived and accepted by DR. The yield is 1.1 (e+/e-). 1.5 is the design criterion. Booster End Injector Output EC End DR acceptance

More Smart Simulation Full simulation with SAD. L-band Acc, transverse conditions. Y(e+/e-) is 1.5, but some parameters are extreme. Bsol =2.5 T Eacc = 40 MV/m Need more optimization for reasoable parameters. T. Okugi

Beam loading Compenstation at EC

Conclusion Linear colliders are only solutions for next e+ e- collder. ILC positron source based on the conventional method is considered. It is feasible from the project management point of view. By manipulating the pulse structure, possible target damage is much suppressed. Beamloading compensation for the triplet pulse acceleration is likely to be promissing. EC is essential to make a good matching to DR. 1.5 e+/e- yield is required in the design criterion. Need further optimization to fulfill, but we are not so far from our goal.