Beam-beam compensation at RHIC LARP Proposal Tanaji Sen, Wolfram Fischer Thanks to Jean-Pierre Koutchouk, Frank Zimmermann

Tanaji SenLHC IR Upgrades: Oct 3-4, Topics Motivation for LARP Motivation for LARP Lessons from SPS experiments Lessons from SPS experiments Lessons from RHIC experiment Lessons from RHIC experiment Proposal Proposal Challenges specific to the LHC Challenges specific to the LHC Need for simulations Need for simulations

Tanaji SenLHC IR Upgrades: Oct 3-4, Motivation “Provide more luminosity earlier” “Provide more luminosity earlier” Space is reserved in the LHC for the wires. An early test in RHIC will determine the effectiveness of the compensation and possibly address the challenges to the compensation. If effective, will allow a smaller crossing angle and more beam intensity. Space is reserved in the LHC for the wires. An early test in RHIC will determine the effectiveness of the compensation and possibly address the challenges to the compensation. If effective, will allow a smaller crossing angle and more beam intensity. Provide direction to an IR upgrade path Provide direction to an IR upgrade path If compensation is proven to be effective, then the quadrupole first option seems to be a more natural path for the IR upgrade. Otherwise, the dipole first option will be more attractive. If compensation is proven to be effective, then the quadrupole first option seems to be a more natural path for the IR upgrade. Otherwise, the dipole first option will be more attractive.

Tanaji SenLHC IR Upgrades: Oct 3-4, Lessons from the SPS experiments Compensating 1 wire with another wire at nearly the same phase “works” Compensating 1 wire with another wire at nearly the same phase “works” Compensation is tune dependent Compensation is tune dependent Current sensitivity Current sensitivity Alignment sensitivity Alignment sensitivity Equivalent crossings in the same plane led to better lifetimes than alternating planes Equivalent crossings in the same plane led to better lifetimes than alternating planes Beam lifetime τ ~ d 3 Beam lifetime τ ~ d 3 d is the beam-wire distance d is the beam-wire distance Higher power law expected given the proximity of high order resonances Higher power law expected given the proximity of high order resonances Both wires on 1 wire on Nearly perfect compensation No wires activated

Tanaji SenLHC IR Upgrades: Oct 3-4, Lessons from RHIC experiment Study at injection energy with 1 bunch and 1 parasitic interaction per beam Study at injection energy with 1 bunch and 1 parasitic interaction per beam There is an effect to compensate, even with 1 parasitic There is an effect to compensate, even with 1 parasitic Drop in lifetime seen for beam separations < 7 σ Drop in lifetime seen for beam separations < 7 σ Effect is very tune dependent Effect is very tune dependent How important are machine nonlinearities and other time dependent effects? How important are machine nonlinearities and other time dependent effects? Did they change with the beam-beam separation ? Did they change with the beam-beam separation ?

Tanaji SenLHC IR Upgrades: Oct 3-4, Wire compensation at RHIC Compensation of 1 wire by another wire worked well in the SPS under LHC conditions. Compensation of 1 wire by another wire worked well in the SPS under LHC conditions. Real test of the compensation principle requires 2 beams Real test of the compensation principle requires 2 beams Beam studies in RHIC show that parasitic interactions have strong influence on beam loss Favorable location for wire has been found in IR6, phase advance to parasitic ~6 degrees at top energy Proposed wire location Location of parasitic

Tanaji SenLHC IR Upgrades: Oct 3-4, Proposal - 1 FY06 Plan FY06 Plan Design and construct a wire compensator (BNL) Design and construct a wire compensator (BNL) Beam-beam studies at top energy: beam separation and tune scan. No wire. Beam-beam studies at top energy: beam separation and tune scan. No wire. Theoretical studies (analysis and simulations) to test the compensation and robustness Theoretical studies (analysis and simulations) to test the compensation and robustness Install wire compensator on a movable stand in one of the RHIC rings in 2006 shutdown Install wire compensator on a movable stand in one of the RHIC rings in 2006 shutdown FY07 Plan FY07 Plan Beam studies in RHIC with 1 proton bunch in at flat top and 1 parasitic interaction. Beam studies in RHIC with 1 proton bunch in at flat top and 1 parasitic interaction. Test tolerances on: beam-wire separation, wire current accuracy, current ripple, phase advance to the wire. Test tolerances on: beam-wire separation, wire current accuracy, current ripple, phase advance to the wire. Simulations to match experiments Simulations to match experiments Construct and install 2 nd wire compensator and current modulator in 2007 shutdown. Construct and install 2 nd wire compensator and current modulator in 2007 shutdown.

Tanaji SenLHC IR Upgrades: Oct 3-4, Proposal - 2 FY08 Plan Compensation of both beams with the 2 wires Compensation of both beams with the 2 wires Elliptical beams at the parasitic interaction – test robustness to changes in the aspect ratio Elliptical beams at the parasitic interaction – test robustness to changes in the aspect ratio Compensation of multiple bunches in RHIC with pulsed wire current. Compensation of multiple bunches in RHIC with pulsed wire current.

Tanaji SenLHC IR Upgrades: Oct 3-4, RHIC proton parameters Beam energy [GeV] Bunch intensity Transverse emittance [mm-mrad] Beta* [m] RMS energy spread RMS bunch length [m] Beam-beam tune shift x x x x x x 10 -3

Tanaji SenLHC IR Upgrades: Oct 3-4, Beam studies with 1 wire Choose tunes so that only 1 beam is affected by the beam- beam interactions Choose tunes so that only 1 beam is affected by the beam- beam interactions Wire strength: I W L = ec N para N p Wire strength: I W L = ec N para N p Beam-wire distance equal to beam-beam separation. Beam-wire distance equal to beam-beam separation. Beam-wire distance > 3 σ Beam-wire distance > 3 σ Minimum separation: Study the compensation over a range of separations, the minimum separation at which compensation is effective will be a measure of the smallest crossing angle allowed Minimum separation: Study the compensation over a range of separations, the minimum separation at which compensation is effective will be a measure of the smallest crossing angle allowed Alignment tolerance: At fixed beam-beam separation, find the range over which the beam-wire separation can be varied with compensation still effective. Alignment tolerance: At fixed beam-beam separation, find the range over which the beam-wire separation can be varied with compensation still effective. Tolerance on current: Vary the current until compensation is lost Tolerance on current: Vary the current until compensation is lost Tolerance on current jitter: Introduce current jitter, measure emittance growth. Compare with theory. Tolerance on current jitter: Introduce current jitter, measure emittance growth. Compare with theory. Tolerance on phase advance: Move the location of the parasitic interaction by changing the rf phase. Tolerance on phase advance: Move the location of the parasitic interaction by changing the rf phase.

Tanaji SenLHC IR Upgrades: Oct 3-4, Issues Is cooling required with the currents to be used? If yes, how will the cooling be done? Is cooling required with the currents to be used? If yes, how will the cooling be done? Tune and orbit correction for each beam-wire separation Tune and orbit correction for each beam-wire separation What is the accuracy of the tune measuring instrument and the BPMs – relative to the size of the expected tune and orbit shifts What is the accuracy of the tune measuring instrument and the BPMs – relative to the size of the expected tune and orbit shifts Over what range is the wire movable? Over what range is the wire movable? Does the wire pose an aperture restriction at small distances from the beam? Does the wire pose an aperture restriction at small distances from the beam? In the case of a magnet failure, can the beam hit the wire? Is the wire adequately protected? In the case of a magnet failure, can the beam hit the wire? Is the wire adequately protected? How should the effectiveness of the compensation be monitored? How should the effectiveness of the compensation be monitored? How much machine study time should be requested for wire compensation of 1 bunch in one ring? For compensation of 1 bunch in both rings? For compensation of several bunches? How much machine study time should be requested for wire compensation of 1 bunch in one ring? For compensation of 1 bunch in both rings? For compensation of several bunches? Time scale of these experiments ? Time scale of these experiments ? What do simulations predict for the compensation? What do simulations predict for the compensation?

Tanaji SenLHC IR Upgrades: Oct 3-4, Challenges - 1 Sensitivity to alignment errors Sensitivity to alignment errors Question: How do we quantify the sensitivity of the compensation to alignment and the precision with which the beam-wire separation should be set ? Question: How do we quantify the sensitivity of the compensation to alignment and the precision with which the beam-wire separation should be set ? Sensitivity to current jitter Sensitivity to current jitter Question: How large an inductance is necessary to damp the high frequency noise in the wire (close to the betatron frequency) ? Should we introduce measurable jitter to induce emittance growth -> benchmark simulations? Question: How large an inductance is necessary to damp the high frequency noise in the wire (close to the betatron frequency) ? Should we introduce measurable jitter to induce emittance growth -> benchmark simulations? Sensitivity to optics errors Sensitivity to optics errors Spurious dispersion and local sources of coupling close to the wire may change the efficiency of the compensation. Spurious dispersion and local sources of coupling close to the wire may change the efficiency of the compensation. Question: Should we attempt to create sources of optics errors in RHIC? If yes, a) what are the important optics errors that can spoil the compensation and b) can these optics errors be created in RHIC ? Question: Should we attempt to create sources of optics errors in RHIC? If yes, a) what are the important optics errors that can spoil the compensation and b) can these optics errors be created in RHIC ?

Tanaji SenLHC IR Upgrades: Oct 3-4, Challenges - 2 Sensitivity to phase advance errors between the parasitics and the wire Sensitivity to phase advance errors between the parasitics and the wire Question: Is there some means by which the phase advance to the wire can be changed ? By how much? Question: Is there some means by which the phase advance to the wire can be changed ? By how much? Tune dependence of the compensation - RHIC tunes are close to the LHC tunes Tune dependence of the compensation - RHIC tunes are close to the LHC tunes Question: Is it necessary to investigate the tune dependence in RHIC - over what range? Question: Is it necessary to investigate the tune dependence in RHIC - over what range? Sensitivity to tune spread of the bunch. Sensitivity to tune spread of the bunch. Beams in RHIC and LHC will have different tune footprints. Is the compensation sensitive to this footprint? e.g does space charge induced tune dependence on amplitude matter? Beams in RHIC and LHC will have different tune footprints. Is the compensation sensitive to this footprint? e.g does space charge induced tune dependence on amplitude matter? Do the different rates of emittance growth in RHIC and LHC matter? Do the different rates of emittance growth in RHIC and LHC matter?

Tanaji SenLHC IR Upgrades: Oct 3-4, Challenges - 3 Sensitivity to non-round beams Sensitivity to non-round beams Question: Can the aspect ratio at the parasitic be changed, either by changing the ratio of β_y*/ β _x* or by changing the ratio of transverse emittances e.g by scraping ? Question: Can the aspect ratio at the parasitic be changed, either by changing the ratio of β_y*/ β _x* or by changing the ratio of transverse emittances e.g by scraping ? At aspect ratio = 1.8, need a beam-beam separation of ~12σ to match the field of a round wire. Do these differences matter?

Tanaji SenLHC IR Upgrades: Oct 3-4, Challenges - 4 How important is it to use pulsed wires for compensating the PACMAN bunches, i.e. is it known that average compensation is not good enough for these bunches? How important is it to use pulsed wires for compensating the PACMAN bunches, i.e. is it known that average compensation is not good enough for these bunches? If pulsed wires are required, what is the right frequency? If pulsed wires are required, what is the right frequency? Does every PACMAN bunch need a different current? Does every PACMAN bunch need a different current? Will such modulators and power supplies be available in FY07? Will such modulators and power supplies be available in FY07? Wire current proportional to N para

Tanaji SenLHC IR Upgrades: Oct 3-4, Simulations - 1 Capabilities Capabilities BBSIM (FNAL) – wire module included, used for predicting alignment tolerance in SPS studies BBSIM (FNAL) – wire module included, used for predicting alignment tolerance in SPS studies Frank Zimmermann & student (CERN) – initial results on RHIC beam-beam experiment Frank Zimmermann & student (CERN) – initial results on RHIC beam-beam experiment Beambeam3D – J. Qiang (LBL) Beambeam3D – J. Qiang (LBL) J. Shi (University of Kansas) J. Shi (University of Kansas)

Tanaji SenLHC IR Upgrades: Oct 3-4, Simulations - 2 What can we expect? Reproduce the results of the beam-beam experiment at injection energy Reproduce the results of the beam-beam experiment at injection energy Important physics Important physics e.g. nonlinear fields including snakes, space charge, IBS, tune modulation,…? e.g. nonlinear fields including snakes, space charge, IBS, tune modulation,…? Simulate 1 parasitic interaction at top energy. Simulate 1 parasitic interaction at top energy. Is there a significant impact on the beam? Is there a significant impact on the beam? Variation with separation of: dynamic aperture, emittance change, lifetime,… Variation with separation of: dynamic aperture, emittance change, lifetime,… Simulate 1 parasitic interaction and wire. Simulate 1 parasitic interaction and wire. Is compensation effective? Is compensation effective? Tolerances on: alignment, current strength and jitter, phase advance errors, non-roundness of “strong” beam, … Tolerances on: alignment, current strength and jitter, phase advance errors, non-roundness of “strong” beam, …

Tanaji SenLHC IR Upgrades: Oct 3-4, Summary Propose installing a wire compensator in RHIC in 2006 Propose installing a wire compensator in RHIC in 2006 Tests of the compensation principle in FY07 and beyond. Tests of the compensation principle in FY07 and beyond. Several issues and challenges to be addressed. Several issues and challenges to be addressed. Simulation efforts need to be significantly ramped up in FY06 Simulation efforts need to be significantly ramped up in FY06 Successful tests of wire compensation expected to improve the performance of the LHC and help direct the upgrade path. Successful tests of wire compensation expected to improve the performance of the LHC and help direct the upgrade path.