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85ff9c9f-8ec8-459a-9677-68c53fab8ae7
themeasuredbeamphase. Hencetheeffectivephasejumpis always𝜋−2𝜙 𝑠,TOF. Thelongitudinalpotentialwell 𝑈(𝜙) after this jump can be calculated as 𝑈(𝜙) =𝑒 2𝜋ℎ∫𝑉ind(𝜙)+𝑉 RF(𝜙)−𝛿𝐸𝑠 𝑒𝑑𝜙.(2) Above transition the EAST bunch starts at 𝜙𝑠,EAST, and the dipoleoscillationamplitudecanbeestimatedtobethewidth ofthepo...
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f548a22f-348c-4596-a2eb-a35a7da5fd58
COMPENSATION OF OSCILLATIONS To equalize the ideal phase jump at transition, the differ- ence in energy loss from beam induced voltage must be compensated. The main RF system of the PS consists of ten tunable ferrite-loaded cavities, each with an RF voltage ofupto20kV.Theresonancefrequencycanbecontrolled from 2.8MHz to...
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df292bb2-3fbd-41c9-bd2d-23eb7b7158b7
IEAST=8×1011 p/bFigure 3: Expected dipole oscillation amplitude calculated usingtheparametersinTable 1,butvaryingTOFandEAST intensities. Table1: ParametersattransitioncrossingfortheEASTcycle, as it is currently implemented in operation. The quoted intensities are the smallest EAST and highest parasitic TOF intensities ...
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9c4b2125-2a8e-4532-8fb7-5bc75aa157db
TOF and EAST bunches both before and after transition. Therefore, the phase is not switched at transition. With one cavity tuned to harmonic ℎ = 7, the voltage on the princi- pal harmonic, ℎ = 8is reduced by 10% around transition crossing. Thecontributionfromthedetunedvoltageensures thatthebucketareafortheTOFbunchremai...
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29e814db-bd55-4128-86df-b2be6c554a8a
tests showed that a slightly higher voltage of 𝑉det= 20kV was required. This is the maximum available voltage. Thus perfect compensation would not be possible at a parasitic TOF bunch intensity of 8.4×1012p/b, in this configuration. Additionalvoltagecanbesourcedfromthebeaminduced voltage. At the current bunch spacing ...
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4c65f2f7-dc6f-4d2f-a001-c62f4ca058d4
Figure4: Estimatedamplitudeofresidualdipoleoscillationswhendetuningoneofthemaincavitiestocompensatethe difference in beam induced voltage. The left contour shows the configuration were the bunch spacing and TOF intensity is unchanged from Table 1. The right contour shows the configuration were the bunch spacing is redu...
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24b214e8-12e3-4d1e-8005-3f41504f8624
ments indicate that strong beam induced voltage persists up to 500ns behind the parasitic TOF bunch [ 4]. The beam inducedvoltagecanthereforeextractenergyfromtheEAST bunch, if it is placed in the bucket just after the TOF bunch. Withthismethoditispossibletoreducetherequiredvolt- agefromthedetunedcavity. Itenablesperfec...
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11d25eb5-bad8-44ee-b803-c2a89a3afca3
induced by the parasitic TOF bunch. Detuningoneof themain cavitiesforoperationalbeam production will not be feasible until 2028, when all of the main cavities will become individually tunable. An attempt was made to partially compensate dipole oscillations by utilizing a wideband cavity with a bandwidth of 0.5 to 5MHz ...
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5596bdf5-c5e6-4fee-96aa-040c2a19a3ab
stopthequadrupoleoscillationsinducedintheEASTbunch by the first rotation. The large longitudinal emittance of theEAST bunch in the presence of the parasitic TOF, limits the best achievable bunch compression, due to losses and filamentation from non-linear synchrotron motion. For this reasontherotationperformedonthepara...
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8a7ffc7e-d0c5-4aa2-951d-de52fbfb63af
bunch to match in both intensity and longitudinal profile at the moment of extraction. The change did not lead to a discernible decrease in EAST bunch quality, although work is still ongoing to study the implications. CONCLUSION Transition crossing with bunches of very different intensity without dipole oscillations ha...
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6a7abb0e-9fea-487c-a674-dfa5f41c9e6d
teams for their help configuring beam tests with varying bunch spacings.17th International Particle Accelerator Conference, Deauville, France JACoW Publishing ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5112 2528 MC5.D09: Emittance manipulation, Bunch Compression and CoolingWEP5112 WEP: Post...
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99b0c6d0-7b4a-47ff-89e8-d690c50e41aa
REFERENCES [1]J.Bernhard etal.,”CERNProtonSynchrotronEastAreaFa- cility”,CERN,Geneva,Switzerland,Rep.CERN-2021-004, 2021. doi:1/zero.alt4.23731/CYRM-2/zero.alt421-/zero.alt4/zero.alt44 [2]G.Tagliente etal.,”The n_TOFfacilityat CERN”,EPJWeb Conf., vol. 297, p. 01013, 2024. doi:1/zero.alt4.1/zero.alt451/epjconf/2/zero.al...
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eac7b78a-29eb-4c8c-ab75-2898c8da9e09
pp. 618-621. doi:1/zero.alt4.18429/JACoW-IPAC2/zero.alt416-MOPOR/zero.alt412 [5]J. P. Burnet et al., ”Fifty years of the CERN Proton Syn- chrotron”, CERN, Geneva, Switzerland, Rep. CERN-2011- 004, 2011. pp. 85-87. doi:1/zero.alt4.517/zero.alt4/CERN-2/zero.alt411-/zero.alt4/zero.alt44 [6]R.Cappietal.,”PSmachinedevelopme...
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5d2fb582-43b6-4dd0-ba04-a1b1300cd0c9
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5112 MC5.D09: Emittance manipulation, Bunch Compression and Cooling 2529WEP: Poster session WEP5112 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain attribution to the...
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eb353ec9-26ad-47e4-8f69-e73a3bedf33c
CHARACTERIZATION OF LONGITUDINAL ELECTRON BEAM QUALITY AT THE SOFT X-RAY BEAMLINE OF SwissFEL R. Provvedi∗, E. Prat, S. Reiche PSI Center for Accelerator Science and Engineering, Villigen, Switzerland Abstract LongitudinalelectronbeamqualityiskeyatX-rayfree- electron lasers (FELs), where electron beams with small slice...
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0b044e80-911d-40f6-8ba2-5b36c2a9535f
phase-space measurements using radiofrequency transverse- deflectingstructuresfordifferentacceleratorandcompres- sionconditions. Thesecharacterizationstudiesrepresenta firststeptowardstheoptimizationofmulti-stagecompres- sion schemes aimed at mitigating MBI and IBS effects. INTRODUCTION X-ray free-electron lasers (XFEL...
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69bae0e6-16c8-487d-9062-a91a82f42fc9
this process is essential for maximizing FEL gain, it concur- rently enhances collective effects that can severely degrade thebeamquality,therebylimitingtheachievablegainand spectral purity, particularly in seeded FEL configurations. Amongtheeffectsarisingfrombeamself-interactions,in- trabeam scattering (IBS), i.e., mu...
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7174651f-0517-407c-81ac-bcbfa9fb3e99
contrast,ischaracterizedbytheamplificationoftheinitial density and energy modulations over a broad wavelength spectrum, primarily driven by longitudinal space-charge (LSC)forcesandcoherentsynchrotronradiation(CSR),dur- ing bunch compression and dispersive transport [ 3,4]. ∗roberta.provvedi@psi.chThe SwissFEL facility ...
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1c41c427-7d36-4e42-a818-74ec6e198737
is therefore needed to understand and control the impact of collective effects. In this work, experimental studies of the longitudinal beam quality at SwissFEL Athos are pre- sented,combininghigh-resolutionmeasurementswithon- going simulation studies. Emphasis is placed on different bunch compression schemes to investi...
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361e44be-5c13-4abd-9478-49e8526203a9
the longitudinal coordinate onto one transverse screen axis, while the relative energy deviation is encoded along the orthogonal axis via the local dispersion. The temporal coor- dinateiscalibratedusingtheappliedTDSvoltageandphase, whereas the energy scale is determined from the dispersion attheobservationscreen. Swiss...
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306e5052-9515-4aa5-9f62-44a4bbc29f18
LPSdistributions,severalkeyparameterscanbeextracted, namely the current profile, energy centroid and slice energy spread(SES) as function of thelongitudinal coordinate, as well as the energy chirp along the bunch. To ensure a sys- tematic and reproducible analysis of the measured data, a dedicatedanalysisframework(MBIA...
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aa8cddc2-a21d-4402-bbbf-c55c5ff10199
Figure1: SchematiclayoutoftheSwissFELacceleratorlattice,includingmagneticbunchcompressors,RFaccelerating cavities and relevant diagnostics. Beam stoppers,dumps and transverse-deflectingstructures (TDS) are indicated. adaptive masking techniques to suppress uncorrelated back- ground contributions. Subsequent spectral an...
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42a1980a-ba52-4eca-bff8-7061270a7740
and gain curves, enabling a comprehensive characteriza- tion of the MBI‑induced microstructures. The experimental studiespresentedin the followingsectionsinvestigateIBS‑ andMBI‑drivenphase‑spaceevolutionatSwissFELunder multiple compression schemes. Simulations Start-to-endsimulationsareongoingtosupporttheexper- imental...
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5250f5be-7a5c-4f39-9278-083516383f8d
impact on the macroparticle trajectories in the considered regime, while their cumulative effect on the longitudinal beamdynamicscanbecapturedusingreducedmodels. MBI dynamicsisdescribedusingaone-dimensionallinearmodel based on the Bosch–Kleman formalism [ 9], tracking the evolutionofthebunchingfactor 𝑏(𝑘)andthecorres...
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5e10e87a-9d05-4100-9c9d-0b0462182951
single-stagebunchcompressionconfiguration,withonlythefirstbunchcompressor(BC1)operated indispersivemode (𝑅56= 63.34mm). The beam peak current was scanned from95Aupto ∼1.4kAbyvaryingthecompressionstrength in BC1. Observations were carried out at different locations along the accelerator, namely downstream of the inject...
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4f17be27-1732-4b23-99ac-9a69d6decc33
tegrated piecewise, in agreement with previous studies at SwissFEL[ 10]. Incontrast,measurementsdownstreamof Linac 3 significantly exceed the expected IBS scaling, in- dicatinganon-negligiblecontributionofMBItothebeam energy spread, at frequencies that cannot be resolved by the TDS measurements. Ongoing simulations aim...
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9790c8f1-39c8-4bab-9103-22777a0e1f62
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5114 MC5.D06: Coherent and Incoherent Instabilities Measurements and Countermeasures 2531WEP: Poster session WEP5114 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain a...
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46986811-eaf5-4c47-873b-2d0000831f4f
beam dump. Compared to the single-stage compression, pronounceddistortionsoftheLPSandanincreaseinSES areobserved,asshowninFig. 3. Thesefeaturesindicatethe onset of collective effects beyond IBS, with high-frequency longitudinal structures consistent with MBI development. Figure3: ElectronbeamLPSmeasuredattheAthosbeam d...
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7640f2a3-a090-4715-9e7f-13fbc5292c23
withrmsbunchlengthof 20.21±0.70 fsandadecompressed beamof45.89±0.89 fs. Thescanned 𝑅56enablescontrolled LPS manipulation, modifying both the coupling between energyanddensitymodulations,andthedampingofhigh- frequencycomponents through the finite SES. Considering the definition of the bunching spectrum as the Fourier t...
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b29b7bb4-8076-4bb7-941d-da14d9791aaf
at specific 𝑅56values, indicating the existence of operat- ing conditions where partial suppression of MBI can be achievedthroughanappropriatetuningofthelocaldisper- sive strength. This behaviour can be understood in terms ofareductionofthefirstterminsquarebracketsinthelin- earized expression for the bunching factor d...
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eb4f9b7d-8db3-4e67-916d-66ef66cf9189
suggests that small dispersive chicanes inserted between compressionstagescouldprovideaneffectivestrategyfor mitigating the microbunching instability. CONCLUSIONS AND OUTLOOK This work establishes a consistent experimental frame- workforinvestigatingIBSandMBIatSwissFEL,providing quantitativebenchmarksforanalyticalmodel...
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590a43e1-e34d-47b1-9722-8987a25852dc
the microbunching amplification can be partially mitigated throughappropriatetuning ofthecompression parameters. Futureworkwillfocuson comparisonswith macroparticle trackingcodesandadvancedanalyticalMBImodels,aswell as on the systematic optimization of multi-stage compres- sionschemesaimedatreducingtheimpactofMBIonthe ...
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b9ebc891-4a1e-4c30-b72a-d78d5fb3a5e0
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5114 2532 MC5.D06: Coherent and Incoherent Instabilities Measurements and CountermeasuresWEP5114 WEP: Poster session Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain a...
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9dedd253-ac32-4464-8926-68231fe0dc8b
REFERENCES [1]Z.HuangandK. -J.Kim,“Reviewofx-rayfree-electronlaser theory”,Phys. Rev. Accel. Beams, vol. 10, p. 034801, 2007. doi:1/zero.alt4.11/zero.alt43/PhysRevSTAB.1/zero.alt4./zero.alt4348/zero.alt41 [2]A.Piwinski,“Intra-beam-scattering”, in Proc.9thInt.Conf. on High-Energy Accelerators, pp. 405–409, May 1974. doi...
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d18db305-3c71-41fe-9da4-2f950e1270c1
doi:1/zero.alt4.11/zero.alt43/PhysRevSTAB.5./zero.alt4644/zero.alt41 [5] E. Prat et al., “A compact and cost-effectivehard x-rayfree- electron laser driven by a high-brightness and low-energy electron beam”, Nat. Photonics, vol.14, pp. 748–754, 2020. doi:1/zero.alt4.1/zero.alt438/s41566-/zero.alt42/zero.alt4-/zero.alt4...
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f7161d7c-a425-4d32-b8cf-0ad97aa1dcb4
gorithm”, DESY, Hamburg, Germany, Mar. 2017, https: / / www . desy . de / ~mpyflo / Astra _ manual / Astra -Manual_V3.2.pdf [9]R. A. Bosch and K. J. Kleman, “Modeling Two-Stage Bunch Compression with Wakefields: Macroscopic Properties and Microbunching Instability”, Phys. Rev. Spec. Top. Accel. Beams, vol. 11, no. 9, ...
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0a4af34c-96d0-4254-9e37-6b0d4ffb16e6
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5114 MC5.D06: Coherent and Incoherent Instabilities Measurements and Countermeasures 2533WEP: Poster session WEP5114 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain a...
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d00ac08a-85ff-49c3-9ad1-ffefa40c09e5
COHERENT TRANSVERSE INSTABILITIES ON THE ISIS PROTON SYNCHROTRON AT INJECTION ENERGY D. W. Posthuma de Boer∗,1, 2, C. M. Warsop1, R. E. Williamson1, A. Oeftiger2 1ISIS Neutron and Muon Source, Didcot, United Kingdom 2University of Oxford, Oxford, United Kingdom Abstract ISIS is the short-pulsed spallation neutron and m...
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dae5ed14-1296-4b09-bc44-cef95454c9dd
bility’sdrivingimpedance,were-examineobservationsof instabilitiesonISISwhenoperatingasastorageringatits injection energy. We present the updated vertical driving impedancemodel,computeanalyticalpredictionsofinsta- bilitygrowthratesexcludingspace-chargeeffectswiththe PyTMCI Vlasov solver, and compare these with experime...
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62c586ab-45f3-4b4a-9b30-cb15d42013f4
Number of Bunches ( 𝑀) 2 Average Radius ( 𝑅) 26m No. of Superperiods 10 Gamma Transition 5.034 Nominal Tunes ( 𝑄x,𝑄y) 4.31, 3.83 (variable) Peak Incoherent Tune Shift ∼-0.5 [1] Chromaticity ( 𝜉x,𝜉y) -1.1, -1.1 [ 2] ISIS is a beam-loss limited facility, so minimising beam- loss is a primary objective of R&D effort...
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5b60cbf1-c03e-428e-8e16-b056a77375d6
plex, making studies challenging with operational beams. BunchedStorageRingMode(BSRM)wasdevelopedasa waytooperatetheISISsynchrotronforinstabilitystudies,in aregimemoreconsistentwithanalyticalmodels[ 5]. Stud- ies in this mode identified a narrowband vertical impedance centredat ∼ 85kHz. Althoughitsfrequencywasfoundtobe...
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f0bef779-7968-45dc-ad70-8e37c8170b70
85kHz instabilitywill be identified. EXPERIMENTAL RESULTS Experimental Set-up The injection and accumulation procedures of BSRM are similar to RCS mode, but the injected beams are stored with primary bending and focusing magnets operating with DC. Beams are not extracted, so 100%beam-loss occurs in the synchrotron hall...
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7413b486-e1da-4926-923f-32ddbf4bb578
reduced to 1.68×1012protons-per-bunch with two bunches circulatingatarevolutionfrequencyof ∼ 675kHz. Horizon- taltunewasconstant,whilstverticaltunewasvariedbetween injected pulses. Measurements were performed with fast acquisitionofverticalbeampositionmonitor(BPM)signals. Withcertaintunesettingsthebuncheswereobservedto...
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52fb563e-fcc0-4096-95a7-5215cd6daa96
window indicated by a shaded region.17th International Particle Accelerator Conference, Deauville, France JACoW Publishing ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5115 2534 MC5.D06: Coherent and Incoherent Instabilities Measurements and CountermeasuresWEP5115 WEP: Poster session Content ...
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1b830fc2-bb51-41c5-96be-1a3ecf385fba
0 200 400 600 Time (ns)024BPM Diff blue (AU) Sum orange (AU)(a) −1 1 3 5 7 Time (ms)−1.0−0.50.00.51.0BPM Diff. blue (AU) Inten. orange (AU) (b) 0.0 0.2 0.4 0.6 Frequency (MHz)10−1100101102103FFT Amplitude (V) (c) 0.0 0.1 0.2 0.3 Time (ms)012B-band Amp. (AU) (d) Figure 1: Experimental data from a single dataset of the ...
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7975ad4e-80b0-4971-abf1-99a1c132f412
lation amplitude for each chunk. These amplitudes were obtained with NAFF [ 12,13] but to help isolate the base- band frequency, a 5thorder Butterworth bandpass filter was first applied to each chunk with offline signal processing tools[14]. Thecutofffrequenciesforthesefilterswereset by manually inspecting the differen...
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1b9da199-ee73-4aad-8037-08c74aa4d27a
independent sweeps of vertical tune in Fig. 2. A peak at ∼ 85kHzcan clearly be seen, as reported previously [ 1]. IMPEDANCE MODEL A vertical driving impedance model has been developed for theISIS synchrotronin the rangeof the beam’slowest frequency sideband ( ∼ 100kHz) [6,7]. In this range, the impedance model is domin...
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98665ead-c340-4c8d-9f66-411032efc215
pretedasthe 𝛽 = 1transverseshuntimpedancewithSIunits ofΩm−1;𝜔𝑟is the resonant angular frequency, and 𝑄𝑟is thequalityfactor. FortheRFscreens, 2𝜋/𝜔𝑟isontheorder of> 3times the revolution period at injection, so a linear dependence on 𝛽is assumed to be a good approximation. The resonator parameters listed in Tabl...
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f37e7b81-40d1-4b1a-8a3c-6264bf2b7d45
resonatorstorepresenttheextractionkickers[ 6]andanindi- rect space-chargeimpedance. The real part of the resulting model is shown for 𝛽 = 1in Fig.3. Table2: ResonatorParametersoftheISISImpedanceModel Screen𝜔𝑟 2𝜋(kHz)𝑅⟂(kΩm−1)𝑄𝑟Qty Dipole (82±5) (500±170) (6.1±0.7) 10 Doublet (94±6) (255±82) (6.7±0.2) 10 Singlet ...
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05d5dbbe-817c-4f3b-a562-35a2e3b751f8
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5115 MC5.D06: Coherent and Incoherent Instabilities Measurements and Countermeasures 2535WEP: Poster session WEP5115 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain a...
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d048120b-203b-4f2e-a584-83dae23813e5
104105106107 Frequency (Hz)104105106107ℜ(Z⊥)(Ωm−1)DipoleDoublet SingletOther Scrn KickersRes. WallFigure 3: Real part of the ISIS synchrotron vertical driving impedance model with key elements labelled and a sum. SEMI-ANALYTICAL PREDICTIONS Semi-analytical predictions of instability growth rates have been made with the...
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3ec5d95d-933c-4aba-943a-ea6eb5481005
weretakenfromTable 1,butwiththeintensityreducedto 1.68×1012protons-per-bunch. The synchrotron tune was 0.00454at the flat-top RF voltage, and a scaled value was used fortune settings where instabilities wereanalysed dur- ingtheRFrampbetween0and 1ms. Theinputlongitudinal phase-spacedistributionwasderivedfromatomographic...
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a97ee3e6-da6c-46ae-a949-466d23529ead
butionwiththeparameterslistedinTable 2. Thegrowthrate ofthemostunstablemodewasfoundforeachcalculation, and a mean and standarddeviationcomputed foreachtune setting. These PyTMCI results are represented in Fig. 4, with the measured growth rates overlaid from Fig. 2. The peakat∼ 85kHzagreeswellwithobservations,occurringa...
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56b43bf7-5e28-48ff-be85-e168aadee890
deviation of the calculations. differenttunesettings. Theindicatedfrequenciesspanthe rangecoveredbythisexperimentandalsoincludethesetting with the fastest growth rate. The 85kHzgrowth rate peak in Fig.4occurs when the baseband frequency overlaps with an impedance peak from the dipole and doublet RF screens. Thecombinat...
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398c0548-39f5-4720-b98c-3b0b57725312
peakingrowthratearound 85kHz,whichagreeswithear- lier studies. PyTMCI calculations also predict a peak at this frequency, with growth rates reproduced to within an order ofmagnitude. Considering thesimplified analyticalmodel employedhere,thisisconsideredanexcellentlevelofagree- ment. The drivers of this instability hav...
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68a1d43d-9aa8-48a3-9fa1-d7ca509210a8
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5115 2536 MC5.D06: Coherent and Incoherent Instabilities Measurements and CountermeasuresWEP5115 WEP: Poster session Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain a...
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0dbd5149-81e3-4a71-9361-30182f741878
REFERENCES [1]R.E.Williamson,B.Jones,andC.M.Warsop,“Development ofphysicsmodels oftheISIShead-tail instability”,in Proc. HB’16,Malmö, Sweden,Jul. 2016. doi:1/zero.alt4.18429/JACoW-HB2/zero.alt416-MOPR/zero.alt431 [2]R.E.Williamson etal.,“High-intensitystudiesontheISIS RCS and their impact on the design of ISIS-II”, in ...
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03950832-9871-4b84-9c92-2a7b2567e1fa
thesis, University of Oxford, UK, 2023. [6]D. W. Posthuma de Boer, B. Orton, C. Warsop, and R. E. Williamson, “Development of an impedance model for the ISISsynchrotronandpredictionsforthehead-tailinstability”, inProc. HB’23 , Geneva, Switzerland, Oct. 2023. doi:1/zero.alt4.18429/JACoW-HB2/zero.alt423-TUC4I2 [7]D.W.Pos...
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72be8e33-2df0-4e91-b718-19bfc48b9c59
storage ring”, Zenodo, Aug. 2025. doi:1/zero.alt4.5281/zenodo.1694/zero.alt489/zero.alt4 [10]D. W. Posthuma de Boer, PyTMCI, Sep. 2023, https:// github.com/stfc/PyTMCI [11]V. Kornilov and O. Boine-Frankenheim, “Instability mitiga- tion using octupoles in buncheswith space-charge”, in Proc. IPAC’23,Venice,Italy,May2023,...
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049438ff-08c6-4ff0-979c-4d3bd19ce393
scientific computing in python”, Nat Methods , vol. 17, no. 3, pp. 261–272, Mar. 2020. doi:1/zero.alt4.1/zero.alt438/s41592-/zero.alt419-/zero.alt4686-2 [15]J. S. Berg, “Coherent modes for multiple non-rigid bunches in a storage ring”, SLAC National Accelerator Laboratory, Menlo Park, CA, USA, Rep. SLAC–478, Mar. 1996....
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e6076752-222d-4fca-b62f-3e128e2d0ace
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5115 MC5.D06: Coherent and Incoherent Instabilities Measurements and Countermeasures 2537WEP: Poster session WEP5115 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain a...
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78081a7f-b0ed-4b31-92d5-ef2fedfbda8d
IMPACT OF LANDAU OCTUPOLES ON THE TRANSVERSE BEAM HALO DISTRIBUTION IN THE LHC∗ P. Hermes†, C. Maccani, D. Veres, European Organization for Nuclear Research, Geneva, Switzerland M. Rakic, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland Abstract The distribution of beam halo particles in the Large Hadron...
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abf10db0-8098-4bf6-b5d2-b7ab17178b92
ations observed in different measurements. The analysis providesafirstassessmentoftheimpactofnon-linearities on the observed beam halo characteristics in the LHC. The results indicate that particle amplitudes can be significantly enhanced by non-linearities, with consequences on the halo measured in collimator scraping...
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e8f8fb2d-060a-4200-b451-2e2ccdc03755
ceedingthisexpectation[ 1–4],withstrongvariationsacross measurements whose origin is not fully understood. In the LHC, sextupolar fields can drive third-order res- onances,whiletheLandauoctupolesintroduceamplitude- dependenttuneshifts[ 5];inthevicinityofaresonance,these effectsresultinthedistortionofthephasespacestruct...
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eb5dd1ae-f6a5-4c1c-9a0b-59b156377c34
though the same methodology can be applied to all other planes. Theresultsshowasignificant amplitudeexcursion, ∗Researchsupported bythe HL-LHC project †pascal.hermes@cern.chin particular for halo particles, with a strong asymmetry between the two collimator jaws. THE NONLINEAR AMPLITUDE EXCURSION MAP Let us define the ...
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0e18745d-9ba8-4494-b539-76e95e1a9952
at(𝑋0,𝑃𝑋,0), with initial amplitude ℛ𝑖=√𝑋2 0+𝑃2 𝑋,0, can have a different generalized amplitude as it moves along the ring. We express amplitudes in units of beam sigma via 𝑎(𝜓) = ℛ(𝜓)/ √𝜀, with𝑎𝑖= ℛ𝑖/√𝜀the initial amplitude. A collimator jaw intercepts particles whose transverse displacement 𝑋at the co...
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ba7a1cb6-2a15-4683-b476-e9bd824b565d
and+(−) corresponds to the left (right) side in the moving right-handed coordinate system. In a linear machine, the quantityΔ𝑎±alwaysequals0. In a nonlinearlattice, phase space distortion shifts the phase at which the maximum displacement occurs, and Δ𝑎±can differ substantially from zero. For a given direction ( ±), ...
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46f82150-7bb0-4f9a-b799-cffd1944c643
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5117 2538 MC5.D07: High Intensity Circular Machines Space Charge, HalosWEP5117 WEP: Poster session Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain attribution to the ...
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078b202d-f60b-413b-9dee-46725ed7f54d
can be easily scaled to any other emittance without need of a recomputation. SIMULATION SETUP The NAEM is computed from symplectic tracking sim- ulationsperformedonGPUswiththe Xsuitecode[6],us- ingthe2025 LHCoptics at6.8TeVcorrespondingto end- of-luminosity-levelling conditions with 𝛽∗= 60/18 cm. Beam-beameffectsareno...
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de0b408f-65be-4f2d-b353-93545bfb6625
amplitude 𝑎𝑦at betatron phase 𝜓𝑦= 0. Tracking is per- formed for 𝑁 = 500 turns, sufficient for each particle to sample its accessible phase space at least once. The hori- zontalnormalizedcoordinate 𝑋(𝑛)isrecordedturnbyturn to evaluate Δ𝑎±via Eq. (1). Particles lost during tracking are excluded from the analysis...
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f406e157-551b-4ee6-bf5f-30aa3cc9a421
exhibit a characteristic three-fold symmetry, consistent with theproximityofthenominalLHCworkingpointtothethird- order resonance line. For a given configuration, the Landau octupoles modify small features of the local amplitude of the NAEM but not its global structure. For the left side, Δ𝑎+is predominantly positive a...
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9cac203c-7f00-4a08-8cbb-f1b375bdc814
does the right jaw also show a net positive enhancement. Figure2shows the phase-space-averaged amplitude in- crease⟨Δ𝑎±⟩(𝑎𝑖),obtainedbyaveraging Δ𝑎±overallgrid pointsineachamplitudeannulus. Thisprojectioncondenses the two-dimensional NAEM into a single curve per configu- ration, directly quantifying the mean amplit...
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3f80a92d-ce2d-4afb-9807-d4aa930a3862
𝜀𝑛= 3.5µmrad,𝑄𝑥/𝑄𝑦= 62.31/60.32 ,Δ𝑄 = 0. Leftside (positive𝑋):𝑎𝑦= 0(row1)and 𝑎𝑦= 𝑎𝑥(row2). Rightside (negative 𝑋):𝑎𝑦= 0(row3)and 𝑎𝑦= 𝑎𝑥(row4). Columns: 𝐼oct= 0A (left) and 𝐼oct= +570A (right). White dashed circles indicate integer- 𝜎amplitudes. Note the different colour scales per row. as a func...
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7cc3003e-23de-496f-8f51-b9629dee2488
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5117 MC5.D07: High Intensity Circular Machines Space Charge, Halos 2539WEP: Poster session WEP5117 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain attribution to the ...
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aa05c9b3-e61d-4c25-b1f2-b1d4508437ae
0.2 0.00.20.40.6a+[] Left jaw ay=0 ay=ax 1 2 3 4 5 Initial amplitude ai[] 0.2 0.00.20.40.6a[] Right jaw 400 200 0200400 Ioct [A]Figure 2: Phase-space-averaged amplitude increase ⟨Δ𝑎±⟩(𝑎𝑖)as a function of initial amplitude. Octupole current encoded by colour (blue: −570A, red:+570A); linestyle distinguishes 𝑎𝑦= 0(s...
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6caa33f0-6463-4bdb-bdc2-538e939b28a6
beam distribution, yielding the halo content above 𝑎cutas: 𝑁±(𝑎cut) =1 2𝜋𝜀∬Ω±exp(−ℛ2 2𝜀)d𝑋d𝑃𝑋,(2) whereΩ±istheregionofinitialconditionsinterceptedbythe left(+)orright(−)jawduringtracking. Inalinearmachine, particle amplitudes are conserved and Ω±= {𝑎𝑖> 𝑎cut} for both jaws, so Eq. ( 2) reduces to the Rayleig...
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0ebaf0d9-3b9d-41d2-9fec-d59599070117
To compare with measurement, the beam-based align- mentproceduremustalsobesimulated,becauseitdirectly influencestheactual 𝑎cut. Intheexperiment,bothjawsare moved inward independently until a loss spike is detected atthe BLM; the midpoint of the two touch positions defines thebeamcentre,andthehalf-gapsetsthebetatroncut...
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b76b1ec1-bedb-4807-96e5-1556aaee04d3
This introduces a bias in 𝑎cutthat propagates into the halo estimate and will, in general, differ between the two jaws. Once the alignment is simulated, the cumulative scraped fractioncanbeevaluatedviaEq.( 3). Theresultisadirect quantitativepredictionofthehalocontentinthepresenceof non-linearities. The model is going ...
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b2fdf186-4c8e-4494-8547-10ca2666a65a
Map (NAEM), a simulation-based method to quantify how nonlinearlatticeelementsmodifythemaximumamplitudea particlereachesatacollimatorjaw. Appliedtothe2025LHC configuration at 6.8TeV,the NAEMrevealsa strongasym- metry: theleftsideisexposedtoapredominantlypositive amplitudeexcursion,whilefortherightsidetheexcursion ispre...
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6e0db7cb-5c1d-493b-ba2a-6ba258061b09
measurements, may be partly attributed to the nonlinear amplitude excursion driven by the machine lattice, which motivates further studies. REFERENCES [1]F. Burkart et al., “Halo Scrapings with Collimators in the LHC”, in Proc. IPAC’11 , San Sebastian, Spain, Sep. 2011, pp.3756–3758. https://jacow.org/IPAC2/zero.alt411...
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46f2333d-27b6-413a-aa68-4b075af3d688
[3]A. Gorzawski et al., “Probing LHC Halo Dynamics Using CollimatorLossRatesat6.5TeV”, Phys.Rev.Spec.Top.Accel. Beams, vol. 23, p. 044802, 2020. doi:1/zero.alt4.11/zero.alt43/PhysRevAccelBeams.23./zero.alt4448/zero.alt42 [4]M.Rakic,“Limitationsfromthetransversebeamhaloatthe highluminosityLHCanditsmitigation”,PhDThesis,...
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bb6edf02-0ad4-48df-a7f5-8515392f4673
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5117 MC5.D07: High Intensity Circular Machines Space Charge, Halos 2541WEP: Poster session WEP5117 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain attribution to the ...
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daaa3a6a-b5f2-48dd-8f65-b53a0b4c2320
EFFECT ON 7 TEV PROTON BEAMS FROM THE RESIDUAL MULTIPOLAR FIELDS IN THE HL-LHC HOLLOW ELECTRON LENS∗ D. Veres†, P. Geissler, P. Hermes, C. Maccani, S. Redaelli, A. Rossi, CERN, Geneva, Switzerland G. Stancari, Fermi National Accelerator Laboratory, Batavia, Illinois, USA Abstract Hollowelectronlensesareapromisingtoolfo...
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cd017334-a381-4347-bf1a-b007df3ad7a5
thatensuresthefasteddepletionrates. Inthisstudy,updated two-dimensionalfield maps from recent studies at CERN’s hollowelectronbeamteststandareusedtoquantifythese effects under HL-LHC conditions. Beam-dynamics simula- tions are performed to evaluate the emittance evolution and identify the dominant field components cont...
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5aa2bfab-b33f-488a-8140-aaacc3d8a0b4
LHC [3]. Combined with fast failure scenarios [ 4], such asspuriousfiringofbeam-lossprotectionsystemsorcrab cavityphaseslips,thatcancausesuddenorbitshiftsofup to2𝜎, this can result in damage to the collimation system that could be mitigated byactive beam halo depletion. The HollowElectronLens(HEL)[ 5,6]wasaddedtotheor...
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91ad19e3-d6a5-4608-b528-9f6fe1c6c5fa
∗Researchsupported bythe HL-LHC project. †dora.erzsebet.veres@cern.chbeamischaracterizedbyaninnerandouterradius 𝑟1and𝑟2, respectively. Iftheelectronbeamisperfectlycylindrically symmetric, protons below the inner radius experience no net effect from the electrons, as the electric and magnetic fields generated by the e...
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9b6a5ac7-8412-4be2-9380-3ef18a9c8b5d
of the electrons and protons, respectively, (𝐵𝜌)𝑝is the mag- neticrigidityoftheprotonbeam,and 𝑓(𝑟)isanamplitude- dependent function given by 𝑓(𝑟) =⎧{{ ⎨{{⎩0, for𝑟 < 𝑟1 1 𝑟𝑟2−𝑟2 1 𝑟2 2−𝑟2 1,for𝑟1≤ 𝑟 < 𝑟2 1 𝑟,for𝑟2≤ 𝑟(2) The relevant parameters of the HEL are listed in Table 1. Table 1: HL-LHC HEL Par...
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d11eda31-d6af-4c10-b492-70e9288b133f
random pulsing can cause emittance growth and core losses. The HEL can be operated in continuous, deterministic, or randompulsingmodes[ 7]. Intherandommode,theHELis switchedonandoffeachturnwithprobability 𝑝and1−𝑝, respectively. This mode offers the besthalo depletion effi- ciency [7,8], but has also been identified a...
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c3034949-9147-413b-a533-53b136869bef
Figure 1: Electron-beam center along the HEL. Figure 2: Comparison of the integrated electric potential of the HEL with the same reconstructed from an order 25 Chebyshev polynomial fit. SIMULATIONS OF THE HEL EFFECT ON THE BEAM CORE ToassesstheeffectofresidualfieldsinsidetheHELon thebeamcore, athree-dimensional mapofth...
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dd44eebd-a716-4a9f-bb8b-b2b107a44684
direction and the integrated potential Φ(𝑥,𝑦)was fitted in terms of Chebyshev polynomials 𝑇𝑛(𝑢) =cos(𝑛arccos𝑢) as: Φ(𝑥,𝑦) =𝑁 ∑ 𝑛=0𝑛 ∑ 𝑚=0𝐶𝑚,𝑛−𝑚𝑇𝑚(𝑥 𝑎)𝑇𝑛−𝑚(𝑦 𝑎),(3) where𝑎 =5mmisareferenceradiusensuring 𝑥/𝑎,𝑦/𝑎 ∈ [−1,1]in the region of interest. Figure2shows excellent agreement between the...
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04dbb8af-b17b-4748-a52c-106d4e008a69
cal (right) planes. The top panels show the kicks in the 𝑥,𝑦 ∈ [−2𝑟 2,2𝑟2]range,whilethebottom panelsshowthe kicks for𝑟 < 𝑟1. Simulationswerecarriedoutusingthe Xsuitesimulation framework [ 11,12] and the latest HL-LHC optics (v1.9), at flat-top(7TeV),withprimarycollimatorsat 6.7𝜎. TheHEL waspositionedinInsertion...
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7146600b-92c8-4191-87c4-0d4cb5de929f
wassimulatedasa2DGaussiandistributioninbothtrans- verse planes, cut at 3𝜎. Single-particle tracking without ma- chineerrorsof 105particleswasperformedfor674700turns (≈60s) in random pulsing mode with 50% on-probability each turn. The particle distribution was monitored every 1125 turns. The simulated configurations ar...
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486fe163-6b2b-45fa-85ed-a99184018c5c
ISBN: 978-3-95450-252-3 ISSN: 2673-5350 doi: 10.18429/JACoW-IPAC2026-WEP5118 MC5.D07: High Intensity Circular Machines Space Charge, Halos 2543WEP: Poster session WEP5118 Content from this work may be used under the terms of the CC BY 4.0 licence (© 2026). Any distribution of this work must maintain attribution to the ...
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15171969-96ac-4304-a47b-f93d1e73b838
Figure 4: Particle survival time in initial action space (left) and distribution of transverse coordinates over time (right) for case 5. Table 2: Simulated Configurations. HEL pulsing HEL residual kick ADT compensation 𝑝-beam closed orbit (𝑥[mm],𝑦[mm]) case 1 off – – (-0.32,0.15) case 2 random zero – (-0.32,0.15) ca...
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ed4a18cf-cc12-401f-b08e-3da9fe3c0ee2
timefordifferentHELresidualkickandADTcompensation scenarios. remain stable. Figure 5shows the intensity and emittance evolution for all the different cases. The reference cases (1 and 2) show no intensity loss or emittance blow-up, as expected, and the constant-kick cases (3, 4) exhibit virtu- ally no losses as well. H...
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b42f361e-4b3b-4a91-85be-37986e1e732b
canevenexacerbatelosses–withthefullfield-mapkicks, indicatingthathigher-ordermultipolarcomponentsrather than the dipolar terms are the dominant drivers. CONCLUSIONS The effect of residual multipolar fields in the HL-LHC hollowelectronlensonthe7TeVprotonbeamcorewasstud- iedthroughlong-termtrackingsimulationswithupdated2...
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f1245520-0e1e-4db8-bdfb-ec8217fc6da7
goodalignmentoftheelectronbeamandcompensationof entryandexiteffectstoreducethesecomponents. Further studiesarealreadyinprogresstoassesstheeffectoftheresid- ualkicksonthebeamcoreinthemostefficientdeterministic pulsing scenarios. REFERENCES [1]G.Apollinari etal.,High-Luminosity LargeHadronCollider (HL-LHC): Technical Des...
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3bcf6246-4a67-4e8f-8f2d-d38cf700325b
[2]S. Papadopoulou, F. Antoniou, T. Argyropoulos, M. Fitterer, M. Hostettler, and Y. Papaphilippou, “Modelling and mea- surements of bunch profiles at the LHC”, J. Phys. Conf. Ser. , vol. 874, no. 1, p. 012008, 2017. doi:1/zero.alt4.1/zero.alt488/1742-6596/874/1//zero.alt412/zero.alt4/zero.alt48 [3]M. Rakic, “Limitatio...
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9308cd3f-37a0-4b42-9b90-3553adbe4eba
lenses for beam halo control in the large hadron collider”, CERN, Geneva,Switzerland,Rep.CERN-ACC-2014-0248, 2014. https://cds.cern.ch/record/17/zero.alt4/zero.alt4455 [6]G. Stancari et al., “Collimation with hollow electron beams”, Phys. Rev. Lett. , vol.107, no. 8, p. 084802, 2011. doi:1/zero.alt4.11/zero.alt43/PhysR...
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b2d60c14-c268-424f-9726-b304c8cdf422
doi:1/zero.alt4.114/zero.alt4/epjp/s1336/zero.alt4-/zero.alt421-/zero.alt422/zero.alt41-5 [9]P.Hermes etal.,“HL-LHCbeamdynamicswithhollowelec- tron lenses”, in Proc. HB’21 , pp. 56–60, 2022. doi:1/zero.alt4.18429/JACoW-HB2/zero.alt421-MOP/zero.alt49 [10]G. Stancari, “Calculation of the transverse kicks generated by the...
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