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Considerations on Beam-Beam Compensation with Electron Lenses in LHC April 27, 2006. Vladimir Shiltsev. Content:. The idea, how it works, Tev experience eBBC in LHC and RHIC Possible plan to proceed. Original Idea Was (1997)….
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Considerations on Beam-Beam Compensation with Electron Lenses in LHCApril 27, 2006 Vladimir Shiltsev
Content: • The idea, how it works, Tev experience • eBBC in LHC and RHIC • Possible plan to proceed 4/27/06, eBBC in LHC - Shiltsev
Original Idea Was (1997)… “…to compensate (in average) space charge forces of positevely charged protons acting on antiprotons in the Tevatron by interaction with a negative charge of a low energy high-current electron beam “ 4/27/06, eBBC in LHC - Shiltsev
a b d c Head-on and Long-Range BBCompensation • Tev Run II: 36x36 bunches in 3 trains • compensate beam-beam tune shifts • a) Run II Goal • b) one TEL • c) two TELs • d) 2 nonlinear TELs • requires • 1-3A electron current • stability dJ/J<0.1% • e-pbar centering • e-beam shaping Yu.Alexahin 4/27/06, eBBC in LHC - Shiltsev
E-lenses in RHIC and LHC • In Tevatron TELs to compensate bunch-by-bunch tune shift due to parasitic beam-beam interactions • Requires pulsed e-beam (~400-800ns)=expensive HV modulator • Need 2 lenses – one vert and one horizontal at unequal and large beta’s • Better have much wider e-beam than p-beam + ~uniform j(r) • Needed dQ~0.006 ; max tuneshift dQ~0.009 achieved • LHC (and RHIC) can benefit from head-on beam-beam compensation • Electrons compensate prtons – that’s good! • DC beam = no HV pulsers! (even better) • Need 2 lenses – one per beam; at equal beta’s • Large beta is ~OK (at least better than in Tevatron as sigma_z/beta* is not as big as in Tev where it is ~2) • E-beam j(r) should be Gaussian to match protons at IPs – easy! • Need dQ_max~0.01 which is achievable see next slide 4/27/06, eBBC in LHC - Shiltsev
basics of head-on beam-beam compensation • If beam sizes and shapes are matched (e=p) • for LHC N_p=1.1e11, N_ip=4, for 10kV electrons (beta=0.2) one needs N_e=4.4e11 or J_e=1.2 A in L=3 m long e-beam • approx Gaussian e-current distribution with rms = 0.3-0.5 mm • … or donut shape? 4/27/06, eBBC in LHC - Shiltsev
e-Shape control • Optimized • (6-Gauss) • Gaussian • Just an example • (see footprint on previous slide) 4/27/06, eBBC in LHC - Shiltsev
Challenges of Head-On Compensation • Total current is not a challenge • Optimum beam profile (vs bunchlength/beta*, Qx,y) -? • Compression to 0.3-0.5 mm is doable, though not easy • Keeping beam straight within 0.03-0.05 mm • Beam-beam centering within 0.03-0.05 mm • Will bending sections do harm? 4/27/06, eBBC in LHC - Shiltsev
eLens configurations 4/27/06, eBBC in LHC - Shiltsev
TEL-2 B-field line straightness S.Kamerdzhiev X.L.Zhang V.Shiltsev 4/27/06, eBBC in LHC - Shiltsev
Proposed Action Path • Form an LHC eCompensation Task Force with a charge to perform feasibility study in ~1 year • Goal is to explore parameter space and effectiveness of head-on BBC in LHC and RHIC Cost: ~1.5FTE (~200k$) in SWF; 50% for LARP In case of positive outcome, next steps may include: • Design of the TEL for RHIC 2007 ~200k$ SWF • Construction of TEL for RHIC 2008-2009 ~1300k$ M&S • Demonstrate head-on compensation 2009-2010 ~200k$ SWF • Build TELs for LHC 2011-2012 ~1100k$ M&S • Install TELs in LHC and commission 2012-2014 ~200k$ SWF Total: 3,000k$ 4/27/06, eBBC in LHC - Shiltsev
Step 1: Theory and Simulations: • Will Gaussian or truncated Gaussian e-current density distribution work (improve lifetime and reduce diffusion rates)? • Straightforward tracking with a weak-strong code • Is partial distribution helpful? • Is there a better distribution? • from first principles, theory, analytical consideration • Effects are beta_TEL/beta*/sigma_z; or dP/P • check in numerical tracking • Importance of e-pbar(p) interaction in bending sections • Which of three configurations is better? • Is the choice tune dependent? • Lifetime deterioration due to e-p misalignment: • e-beam straightness tolerances • relative e-p displacement, angle • Effect of low-frequency variations dJ, dX on beam lifetime • Ion cleaning efficiency tolerances • Cross-interaction with wires in LHC – if there is any • e-beam effect on coherent stability or strong-strong beam-beam effects 4/27/06, eBBC in LHC - Shiltsev
slides backup 4/27/06, eBBC in LHC - Shiltsev
Proposed Action Plan • Calibrate TEL-2 BPMs with stretch wire (Vic, Seva, Brian) • Measure SEFT profile (Seva) • Assemble TEL-2 vacuum system and bake (Gennady & John F) • Perform EoS and SoS studies with TEL-1 (ZXL, VS, Seva) • Get the current, study transmission vs B_gun/B_main (Seva, XL) • Study e-beam orbit vs current (same) • Tracking studies with LIFETRAC (Sasha Valishev) • Calibrate TEL-2 BPMs with short e-pulses (Vic and Seva) • Measure TEL-2 e-beam profile (Seva, Vic) • Commission MARX generator pulser (Howie & we) • Move & install TEL-2 FY06 during shtdn (Gennady, MSupp, et al) • Commission TEL-2 with 980 GeV p-beam, studies with 2 TELs (all) • Build parts for TEL-1 modification (Gennady, Seva, VS) • Modify TEL-1 in FY07 shutdown (as in FY06) 4/27/06, eBBC in LHC - Shiltsev
E-lenses in RHIC and LHC: General Considerations a=1.7mm L=2m E=980GeV beta_e=0.2 Scaling: need a_e = a_p and about same dQ~0.01 Two factors: For RHIC: beta_x = 20 m for Tev: beta_x=100 gamma=250 gamma=1000 Thus (B_c/B_main)=4/5 x (B/B)_Tevatron easy! For LHC: beta_x = 200 m for Tev: beta_x=100 gamma=7000 gamma=1000 Thus (B_c/B_main)=1/3.5 x (B/B)_Tevatron not easy, but doable 4/27/06, eBBC in LHC - Shiltsev
Tevatron Electron Lens #1 (TEL-1) 90 deg bend + HV Modulator, HV+HC PSs, Cryo, QPs, Vacuum, Controls, Diagnostics, Cables 4/27/06, eBBC in LHC - Shiltsev
Tevatron Electron Lens #1 in the Tevatron Tunnel, sector F48 4/27/06, eBBC in LHC - Shiltsev
Tuneshift dQhor=+0.009 by TEL • Three p-bunches in the Tevatron, the TEL acts on one of them 4/27/06, eBBC in LHC - Shiltsev
Beam-Beam at Low-beta Now: Confined 5th order resonances: Q=3/5=0.600 – EMITTANCE BLOWUP pbar 12th order resonances: Q=7/12=0.583 - Bad lifetime p 7th order resonances: Q=4/7=0.571 - HIGH LOSSES 4/27/06, eBBC in LHC - Shiltsev