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d5bc088c-2376-4d11-83af-5a3eff15db41
IonCollider”, Phys. Rev. ST Accel. Beams ,vol.15,p.051004, 2012. doi:10.1103/PhysRevSTAB.15.051004 [10]D. Xu et al., “Study of Harmonic Crab Cavity in EIC Beam- Beam Simulations”, BNL, NY, USA, BNL-222291-2021- COPA, 2021. [11]M. Bassetti and G. A. Erskine, “Closed expression for the electrical field of a two-dimension...
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f580dc22-7c7f-47c2-9bcd-ed8671e310ec
BEAM OPTICS UPDATE FOR EIC HSR-IR2∗ D. Xu†, J. S. Berg, W. Bergan, D. Holmes, H. Lovelace III, C. Liu, S. Peggs, G. Robert-Demolaize, E. Wang, BNL, Upton, NY, USA B. R. Gamage, Jefferson Lab, Newport News, VA, USA Abstract The Insertion Region 2 (IR2) will accommodate a Pre- Cooler at injection energy ( 24 GeV) and a S...
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589c69b5-4a0c-4f3f-874a-b8a81b959d41
beamtomatchtheelectronbeamsizeattheinteractionpoint (IP). The technique of electron cooling is utilized to pre- cool proton bunches at an injection energy of 23.8 GeV[1] toachieveaflatprotonbeamprofilewithsmallemittance. Once pre-cooled, the proton bunches are then accelerated to the collision energy. At the top energy...
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37d430d8-2fbb-4264-a9d4-e207f2c08a45
coolingandthepre-coolingsharethesameEnergyRecovery Linac (ERL). In the case of strong hadron cooling, The pro- tons and electrons co-propagate in the modulator and kicker sections. TheCoulombinteractionbetweenprotonsandelec- trons in the modulator section results in microscopic energy perturbations on electrons. These ...
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758c48dd-83af-447d-b242-ffd9d5a6bbc9
100 GeV and275 GeV. ∗Work supported by Brookhaven Science Associates, LLC under Contract No. DE-SC0012704 with the U.S. Department of Energy †dxu@bnl.gov Figure 1: The strong hadron cooler and the pre-cooler in HSR-IR2 share the same Energy Recovery Linac (ERL). Protonsco-propagateswithelectrons inthemodulator and kick...
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1aa13971-e121-4f97-bd74-2cdf5eb90af8
Thesymbols⊕and⊖indicatetwodipolesthatdeflectthe orbit in opposite directions. Figure3: Theorbitforold(blue)andnew(orange)layout. The entrance and exit of HSR-IR2 stay same as before. InordertoincorporatetheSiberiansnakeintotheHSR- IR2,thelatticestructurehasbeenalteredfromasymmetrical to an asymmetrical layout. In the 6...
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ad735c8a-e671-46bb-9bb5-1a702ad22217
snake located in IR2 must be positioned at an exact rotation angle of 180◦away from the snake in IR8. However, the snake’slocationdiffersbetweenthedesignsofcollidingIR8 and non-colliding IR8. More details about colliding IR8 andnon-collidingIR8canbefoundin[6]. Asaresult,the regionbetweenQ9andQ8onthemodulatorside,aswell...
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014f2ad7-5caa-4d71-93ce-ea15bcca7953
requisite for pre-cooling. To better match the optics for horizontal cooling, a pair of dipoles has been inserted be- tween the modulator and kicker. In order to maintain the total bending angle, one dipole deflects the orbit inwards, while the other deflects it outwards. STRONG HADRON COOLING UPDATE In accordance with...
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857a5521-1734-4e64-a697-d4cd979769e7
thephaseadvancefromthemodulatorcentertothekicker center. Equation(1)isapplicableforbothhorizontalandvertical planes. Inthelongitudinalplane,thecoolingcoefficientis represented by 𝑆𝑧=𝑅ℎ 56−𝑆𝑥−𝑆𝑦, (2)where𝑅ℎ 56is the strength of the hadron chicane between the modulator and kicker section. The cooling rates are ap...
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23b0cc1c-9be2-45b4-83f2-0febde1218b7
Δ𝑍𝑧=(𝑅ℎ 56−𝑆𝑥−𝑆𝑦)𝜎𝛿. (5) Ideally,allofthesedelays,Δ𝑍𝑥,Δ𝑍𝑦,Δ𝑍𝑧shouldbesmall incomparisontoaquarterwakewavelength. Inthematching process,if𝑆𝑥and𝑆𝑦aresettoaspecificvalue,thelongitudi- naldelaywillautomaticallysatisfytheconstraint,andhence Δ𝑍𝑧is not considered in the matching. The requirements for𝑆�...
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6a5b4c4e-5f99-4bfd-bd50-ff301a53c883
ERL.Inthecourseofthisalignment,themeansizeofthe beams is employed as a criterion, which can be expressed mathematically as follows: <𝜎 >=1 𝐿∫𝐿 0𝜎d𝑠=1 𝐿∫𝐿 0√︃ 𝛽𝜖+𝐷2𝜎2 𝛿d𝑠,(6) where𝐿is the length of the overlap region in the modulator or kicker sections. Table2presentstheconstraintsfortheaveragesizeofthe pr...
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4920ff00-c913-42b8-91d4-3cf8a6c48313
Table 2: Constraints for Average Beam Sizes at 100 GeV and275 GeV parameter relation unit 275 GeV 100 GeV <𝜎𝑥,𝑚> ⪅ mm 0.9 1.0 <𝜎𝑦,𝑚> ⪅ mm 0.4 0.3 <𝜎𝑥,𝑘> ⪅ mm 0.6 1.0 <𝜎𝑦,𝑘> ⪅ mm 0.2 0.3 There are 19quadrupoles in the asymmetric layout in Fig. 2. Their strengths are varied to match the cooling re- quirements...
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7125c328-e73c-4ef6-b5bc-cb6e2c1d52ef
To obtain the global minimum, the BlackBoxOptim pack- age [9] within the Julia programming language is employed. The resulting matches are illustrated in Fig. 5. All listed constraintshavebeensatisfactorilymet,exceptforvertical cooling, which requires vertical dispersion. Figure 5: Beam optics matching results, top: 27...
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f055a094-2918-4a47-8081-cab5092ba300
𝑃𝑚 . (9) BysubstitutingEq.(9)intoEq.(8),thecoolingcoefficient 𝑆becomes zero, indicating that no cooling occurs when no dispersion is generated between the modulator and kicker sections. Toobtainanon-zerovaluefor 𝑆𝑦,twoconditionsmustbe met. Firstly,anon-zeroverticaldispersionmustbepresentin boththemodulatorandkick...
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a32e2eb3-9e57-43f9-a1b3-6b7466b40c2e
HSR-IR2intheEIC.ThepurposeofIR2istoaccommodate apre-cooleratinjectionenergyandaStrongHadronCooling facility at top energy. The original symmetrical layout of IR2 has been transformed into an asymmetrical one to align withtheIR8. Thelatticedesignhasbeenupdated tomeet the requirements of the strong hadron cooling. The me...
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74a65fa6-2064-4ec6-8b42-b743ae894ea5
p. 114402, 2018. doi:10.1103/PhysRevAccelBeams.21.114402 [4]E.Wang et al.,“ElectronIonColliderStrongHadronCooling InjectorandERL”,in Proc. LINAC’22 ,Liverpool,UK,Aug.- Sep. 2022, pp. 7–12. doi:10.18429/JACoW-LINAC2022-MO2AA04 [5]S. Peggs et al., “Optics for Strong Hadron Cooling in EIC HSR-IR2”, in Proc. IPAC’22 , Bang...
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8f370d7c-aafc-48b8-9bdb-da29235856e1
[6]B.R. Gamage et al.,“Second interactionregiondesign con- cept for the Electron Ion Collider”, presented at IPAC’23, Venice, Italy, 2023, paper MOPA022, this conference. [7]P. Baxevanis and G. Stupakov, “Transverse dynamics con- siderations for microbunched electron cooling”, Phys. Rev. Accel. Beams , vol. 22, p. 0810...
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0956bcb8-b66b-4269-928c-1f71d7b425ff
SIMULATION TEST OF VARIOUS CRAB DISPERSION CLOSURE BUMPS FOR THE HADRON STORAGE RING OF THE ELECTRON-ION COLLIDER* Y. Luo†, J. S. Berg, M. Blaskiewicz, A. Drees, X. Gu, H. Lovelace III, C. Montag, D. Marx, S. Peggs, V. Ptitsyn, F. Willeke, H. Witte, Q. Wu, B. Xiao, D. Xu, Brookhaven National Laboratory, Upton, NY, USA ...
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2480b480-18e6-4916-a91d-8694055c6878
energy range of 20-140 GeV. To compensate the geometric luminosity loss due to a large crossing angle 25 mrad in the EIC, crab cavities are to be installed on both sides of theinteractionpoint(IP)inbothringstoconstructalocal closedcrabbingbump. However,forthecurrentdesignlat- ticeoftheHadronStorageRing,thecrabdispersio...
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5f9692f0-c84c-433e-a654-bdbfdaddd872
Instead,weobservedthattheIRmagneticfielderrorsplay anmoreimportantroletothedynamicaperturethanthecrab dispersion bump closure. INTRODUCTION TheElectron-IonCollider(EIC)presentlyunderconstruc- tionatBrookhavenNationalLaboratorywillcollidepolar- ized high energy electron beams with hadron beams with luminosities up to 1×...
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2ec2d5e5-d98c-452d-8f38-f5197703d5c9
region (IR). The total phase advance between two side crab cavities is therefore 175 degrees, 5 degrees short of 180 *WorksupportedbyBrookhavenScienceAssociates,LLCunderContract No. DE-SC0012704 with the U.S. Department of Energy. †yluo@bnl.govdegreestoclosethecrabdispersionbumplocally. Therefore, there is crab dispers...
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faed7b80-3efc-4101-88c6-987915e4b898
also will test various closed bump schemes in the HSR. By insertingartificialphasetrombones,weconstructedanartifi- cial local 3-bump and 4-bump of horizontal crab dispersion in the IR6, and artificial 3-bump closed between IR6 and IR8. The purpose of this study is to determine the negative impactsfromtheunclosedcrabdis...
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d7451819-5d3a-4beb-9783-9c91b2337e68
optics parameters used for this study. Table1: Beam-beamRelatedBeam andOpticsParameters forCollisionBetween10GeVElectronsand275GeVPro- tons quantity unit proton electron Beam energy GeV 275 10 Bunch intensity 10110.668 1.72 (𝛽* 𝑥, 𝛽* 𝑦)at IP cm (80, 7.2) (55, 5.6) RMS Beam sizes at IP µm (95, 8.5) Bunch length cm 6...
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90a1d2f3-5b81-4bfc-941f-eeaa9cac0b35
LEAKAGE OF CRAB DISPERSION TheHSRwillhavefour197MHzandtwo394MHzcrab cavities on each side of IP6 and they will tilt the proton bunch in the 𝑥−𝑧plane by 12.5 mrad to restore head-on collisions at the IP. Ideally, we need 90 degree horizontal phaseadvancebetweenIP6andthecrabcavitiesoneither side. Theminimumrequirementi...
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890fc2fb-a281-4061-88c8-75270c385f9d
the IR6, and the maximum crab dispersion amplitude in the arcs reaches 5 mrad. Figure1: HorizontalcrabdispersionintheHSRringwith the unclosed bump in the IR6. CRAB DISPERSION BUMP SETUP To assess the impacts of the unclosed crab dispersion bump in the IR6 in the HSR, we also constructed a few closed bumps for compariso...
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9c71468f-a2df-465a-a25e-6cb0b7e6c268
cavities outside the existing crab cavities. For the EIC, there are onging studies for a futrure second interactionregionatIP8. Therefore,oneoptionistobuild a closed 3-bump of crab dispersion between IR6 and IR8. WewillinstallathirdcrabcavityinIR8. Wealsosimulatea longer 3-bumpbetween IR6and IR10for comparison with the...
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8dbf7417-3250-49c5-b1e8-582fe71c91ac
are launched in the first quadrant of phase space ( 𝑥/𝜎 𝑥, 𝑦/𝜎𝑦) in 5 equidistant phase angles and tracked up to 1 million turns. We search the minimum dynamic aperture in eachdirectionofthosephaseangleswithastepsizeof0.1 𝜎. In the dynamic aperture calculation, we included random nonlinear magnetic field errors ...
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45a7218c-0880-4d06-9917-802f42e7499e
Figure 3: Dynamic aperture with head-on collision and crossing collision with the unclosed crab dispersion bump. Figure 4 shows the dynamic apertures as function of half crossing angle with the unclosed crab dispersion bump. For eachhalfcrossingangle,were-matchedthevoltagesofcrab cavities to restore head-on collision a...
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edc95079-e6c1-439b-8f83-e65216c3d229
Figure 4: Dynamic aperture as function of crossing angle. Table 2: Dynamic Aperture for Various Crab Dispersion Closure Bumps Case Minimum Maximum Average RMS Name DA DA DA in DAs head-on 8.3 13.0 10.5 1.0 unclosed 5.1 10.5 7.1 1.6 𝜋bump in IR6 4.6 11.1 7.8 1.5 3-bump in IR6 5.7 10.3 7.6 1.4 4-bump in IR6 4.9 10.7 7.3...
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aa08f13a-16b7-4d27-9996-f9d6f1f8cf1a
Unclosed vs Closed bumps Table2liststhedynamicaperturecalculationresultsfor the unclosed and closed crab dispersion bumps. There is a very small difference between the unclosed and closed bumps. The average dynamic apertureamong 40 seeds are all above or very close to 7 𝜎. However, the minimum dy- namicapertureofsomec...
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62772056-71ee-489d-8c11-718e5b68a373
Figure 7 shows the dynamic aperture as function of seeds ofrandomIRmagneticfielderrors. Someseedsalwayshave larger dynamic apertures than other seeds, no matter with whatkindsofcrabdispersionbumps. Thismeansthatthe IR magnetic field errors play a more important role to the dynamic aperture than the crab disperison bump...
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a41bf360-02f4-4938-a39e-e7a953b23428
stead, we observed that the IR magnetic field errors play an moreimportantroletothedynamicaperturethanthecrab dispersionbumpclosure. Wewillre-visitthistopicwitha better knowledge of IR magnetic field errors.
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cddf72e3-c401-486b-a1ec-90fbcb41e9bd
REFERENCES [1]J. Beebe-Wang et al., “Electron-Ion Collider: Conceptual De- sign Report”, Brookhaven National Laboratory, Jefferson Lab, 2021. www.bnl.gov/EC/files/EIC_CDR_Final.pdf [2]C.Montag et al.,“DesignStatusUpdateoftheElectron-Ion Collider”, presented at IPAC’23, Venice, Italy, May 2023, pa- per MOPA049, this con...
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015e9914-7b3e-455a-a942-cb928dc15408
REVISIT THE EFFECTS OF 10 HZ ORBIT OSCILLATION IN THE RELATIVISTIC HEAVY ION COLLIDER* Y. Luo†, M. Blaskiewicz, W. Fischer, D. Marx, C. Montag, B. Podobedov, D. Xu Brookhaven National Laboratory, Upton, NY, USA Abstract 10 Hz horizontal orbit oscillation due to helium flow was observedintheroutineoperationoftheRelativi...
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19c18f9d-27de-4b17-8660-4eabdf4e76e8
Collider (EIC). INTRODUCTION Horizontal beam orbit oscillations at frequencies around 10 Hz had been observed in the Relativistic Heavy Ion Col- lider(RHIC).Theoscillationamplitudeiscomparabletothe RMSbeamsizeattheinteractionpoint(IP).The10Hzorbit jitter made orbit correction difficult, especially when the be- tatron t...
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31a9e48c-31a9-47de-bbfa-129a52100208
helium circulator. Thesemechanical triplet vibrations cause sizeable horizontal orbit oscillation around the frequency 10 Hz in the ring [1]. For simplicity, we call this kind of orbit oscillation 10 Hz orbit jitter. Tocorrectthe10Hzhorizontalorbitoscillation,wedevel- opedanorbitcorrectionfeedbacksystemwith12horizontal...
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1ea77a55-25f6-49e2-8d9f-72436da9081f
*WorksupportedbyBrookhavenScienceAssociates,LLCunderContract No. DE-SC0012704 with the U.S. Department of Energy. †yluo@bnl.govbeam-beam simulation was performed to determine the tol- erance of beam orbit jitter at the IP and the current ripple specifications for the ESR magnet power supplies [5]. In this article, we r...
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410e4ae4-5470-4365-b5f1-15f777b81a26
withoutandwith10Hzfeedback. Thedatawithoutfeedback weretakenfromFill32805,andthedatawithfeedbackon were taken from Fill 32811. The peak amplitude is 650 𝜇m without feedback on, and 75 𝜇m with the feedback. During the physics operation, the 10 Hz orbit feedback wasalwayskepton. However,wenoticedthattherewasa veryshort...
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3a5be1d0-14e2-4d64-9ee4-f042d094ef9b
2022. Orbitdataweretakenfromdifferentfillsw/o10Hz orbit feedback tuned in. Besides the peak amplitude of orbit jitter, we are also interested in its frequency spectrum. Figure 3 shows the spectrum of BPM bi5-bh3 readings from Fill 32805, where the 10 Hz orbit feedback was not tuned in. The 10 Hz is the dominant frequen...
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20288aaa-0156-4a1f-be2c-8ce869a7091d
Figure 2: Orbit jitter measured in Fill 33273 during the physics operation. Here 10 Hz orbit feedback was intention- ally turned off before re-bucketing. peakamplitude20timessmallerthanthe10Hzpeak. 60Hz is the frequency of AC electricity in the United States. Figure 3: Spectrum oforbit jitterwithout 10Hz orbitfeed- bac...
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58533926-4a64-4948-a3b1-e4127e83983f
arelessthan1Hz. Tobetterquantifytheiramplitudes,we integrated all the spectrum amplitudes in the neighboring frequencies. Based on the optics model, we are able to scaletheamplitudesoforbitjittersfromBPMbi5-bh3tothe IP.Theratioofthesquarerootof 𝛽-functionsatthosetwoTable 1: Beam and Optics Parameters for the Simulatio...
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81550b75-3c17-4206-9f2d-a040d85678c4
With the 10 Hz feedback on, its amplitude drops to 1.3 𝜇m. BEAM-BEAM SIMULATION In thefollowing, we presentthe simulation results based onweak-strongbeam-beamsimulations[6]. Inthismodel, one proton bunch in one ring was represented by 0.5 mil- lionmacro-particles, andthe otherbunch inanotherring is representedbyarigid...
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a51ce82e-0aee-4756-8ede-7fe30b9820a2
isthetotalbeam-beamparameterwith2IPsinRHIC.The orbitjittersareintroducedonlyinthehorizontalplaneatthe IP. Figure5showsoneexampleofRMSbeamsizeevolution in106turns. Hereweintroducedasinglesinusoidalwaveof obitjittteratIP6withitsamplitude60 𝜇m. Welinearlyfit therecordedbeamsizetogettherelativebeamsizeincrease perturn,fro...
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04574bd7-d410-4628-83ac-5aa1c1e8b64d
Table 2: Simulated Growth Rates with Single Frequency Orbit Jitter at IP Horizontal Beam Vertical Beam Case Size Growth Rate Size Growth Rate Amplitude ( %/hour ) ( %/hour ) no jitter: 0𝜇m 1.9 0.02 10 Hz: 60𝜇m 17.5 1.5 30𝜇m 14.0 0.6 10𝜇m 4.2 0.008 5𝜇m 2.9 -0.002 1𝜇m 3.1 -0.06 60 Hz: 60𝜇m 10.8 0.2 30𝜇m 5.8 0.1 1...
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92d33582-8a28-4cf7-89ee-b5ae451b9d6c
less than 5 𝜇m beam-beam offset for both 10 Hz and 60 Hz oscillations, thehorizontalbeamsizegrowthrateisabout 3%/hour. As we mentioned earlier, with the 10 Hz orbit feedback on in the RHIC, the peak amplitudes of 10 Hz and 60 Hz oscillations are about 1 𝜇m at IP. In the following, we introduce a bandwidth to the orbi...
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dab1fd7d-6358-4ace-88dd-175e1100cf85
haveabandwidthof ±0.5Hz. WesimulatedtheRMSvalues of the orbit jitters 1 𝜇m to 3 𝜇m for each frequency band.Table 4: Simulated Growth Rates with Combined Orbit Jitter with 10 Hz and 60 Hz RMS of Horizontal Beam Vertical Beam Orbit Jitter Size Growth Rate Size Growth Rate ( %/hour ) ( %/hour ) 1𝜇m 2.9 0.0003 2𝜇m 2.6 ...
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df37b2b9-06a7-443f-8989-f604c2dd934d
which we believe is not only from the numerical noises. To determine the uncertainty in the beam size growth ratecalculationinaboveweak-strongsimulations,wedoa convergencestudywithvariednumberofmacro-particles. Here we use 10 Hz ±0.5Hz frequency bandwidth and set the RMS of orbit variation to be 1 𝜇m. The number of ma...
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dcad593c-6bcb-4660-93bb-6185755aa75b
frequencies around 10 Hz. With the 10 Hz orbit feedback on, the peak amplitude of all frequencies was reduced by a factorof10andthepeakamplitudesofresidual10Hzand 60 Hz orbit oscillations are about 1 𝜇m. Weak-strong beam- beamsimulationwascarriedouttoevaluatetheirimpacts on the beam size growth with collision. Our sim...
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2
b699621d-5fa6-449f-8bfc-01bb2155ca9d
REFERENCES [1]C.Montag et al.,“Observationofheliumflowinducedbeam orbitoscillationsatRHIC”, Nucl. Instrum. Methods Phys. Res., Sect. A, vol. 564, pp.26-31, 2006. doi:10.1016/j.nima. 2006.03.030 [2]R. J. Michnoff et al., “RHIC 10 Hz Global Orbit Feedback System”, in Proc. PAC’11 , New York, NY, USA, Mar.-Apr. 2011, pape...
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3
0f87804f-4b2e-4ef0-83a8-e8053bcd9bbd
[6]Y.Luo,“SimTrack: Acompactc++codeforparticleorbitand spin tracking in accelerators”, Nucl. Instrum. Methods Phys. Res., Sect. A , vol. 801, pp. 95-103, 2015. doi:10.1016/j. nima.2015.08.014
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3
76a3b6e4-b827-49ed-8fba-59f55c3ccc29
OPTIMIZING THE DESIGN TUNES OF THE ELECTRON STORAGE RING OF THE ELECTRON-ION COLLIDER* Y. Luo†, J. S. Berg, M. Blaskiewicz, C. Montag, D. Marx, S. Peggs, V. Ptitsyn, S. Tepikian, F. Willeke, D. Xu, Brookhaven National Laboratory, Upton, NY, USA Eliana Gianfelice-Wendt, Fermi National Accelerator Laboratory, Batavia, IL...
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0
3d736ad6-8eaa-4ae0-8e29-6d9f08597f69
resulted in an optimum working point (0.08, 0.06) for the Electron Storage Ring (ESR) of the EIC. During the ESR polarization simulation study, this working point was found to beless than optimalfor theelectron polarization. In this article,wepresentrecentbeam-beamsimulationresultsin a wide range tune scan to search fo...
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0
dd16d177-e372-46ad-ad2d-13c88b9d6842
largecrossingangle25mradwithcrabcavitiesinbothrings, and a novel strong hadron cooling in the Hadron Storage Ring (HSR) to counteract the intra-beam scattering (IBS) at store. FortheEIC,highpolarizationisrequiredfortheelectron, proton, and light ion beams. Near half-integer tunes have been used for most previous and ex...
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0
53e06df7-8550-404f-bec3-8d3de5da8d13
large beam-beam parameters for both electron and proton beamsbasedonthesuccessfulexperiencesfromKEK-Band RHIC.However,suchacombinationoflargebeam-beampa- *WorksupportedbyBrookhavenScienceAssociates,LLCunderContract No. DE-SC0012704 with the U.S. Department of Energy. †yluo@bnl.govrameters for both electron and proton b...
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0
6415360e-561b-4fa0-af0a-d95cb0ad7830
ESR,itisdifficulttocorrectandcontrolverticalorbitand the global betatron coupling. For example, to maintain a relativelyhighelectronpolarization,thebetatroncoupling in the ESR has to be tightly controlled. The global coupling coefficientshouldbelessthan0.0002. Inthisarticle,wewill present our recent new ESR tune scan t...
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0
a4b6df64-a907-4d45-91cf-996605a2bd63
0.1 for the electron beam and 0.015 for the proton beam, and the peak luminosity reaches its maximum design value 1.0×1034cm−2s−1in the EIC. In the weak-strong tune scan, we assume that the pro- tonbunchisrigidandtheelectronbunchisrepresentedby 50,000 macro-particles. Both the horizontal and vertical electrontunesaresc...
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0
6b2cb923-b7b5-4d2b-acff-4f65b549a611
zontaltuneisbelow0.10,especiallywithahighervertical tune than the horizontal tune in the upper-left corner of the shown tune space. In the strong-strong electron tune scan, both bunches are represented by 500,000macro-particles andare trackedfor
d:\Daily_ihep\Weekly Progress Report\20260425\41_IPAC'23\MOPA - Monday Poster Session_ MOPA\MOPA047.pdf
0
a738d578-ae6e-4084-b719-7de4692af723
Figure 1: Luminosity averaged over the last 1000 turns of a weak-strongsimulationasfunctionofelectrontunes. Values are in units of 1034cm−2sec−1. 50,000turns. Theprotontunesarefixedat(0.228,0.210). Boththe horizontal andvertical tunesof theelectron beam are scanned from 0.02 through 0.20 with a step size of 0.02. Figur...
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1
9cd2c53b-f8fa-4a53-8987-61ffccf31afd
instability happens when the electron horizontal tune is be- tween 0.1 and 0.14. This instability had been studied in details and it can be explained by the sum coupling reso- nancebetweentheelectronbeammodeandtheprotonbeam mode [4]. For the EIC, besides the maximum design luminosity, we also pay attention to the long-...
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1
ca8e9138-6072-40a8-9ef1-b148c8140716
Table1: Beam-beamRelatedBeam andOpticsParameters for the New ESR Tune Scan quantity unit proton electron Beam energy GeV 275 10 Bunch intensity 10110.668 1.72 (𝛽* 𝑥, 𝛽* 𝑦)at IP cm (80, 7.2) (55, 5.6) Beam sizes at IP µm (95, 8.5) Bunch length cm 6 0.7 Energy spread 10−46.8 5.8 Transverse tunes (0.228,0.210) to be s...
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1
f4b99ad6-f6fc-4e15-8f54-756df2f8408c
instability. A better option is to increase the vertical design tune. Ahigherverticaltunewillbenefittheglobalvertical orbit correction and a large tune split will benefit the global betatron coupling compensation, too. In the new tune scan, wescanthehorizontaltunefrom0.06to0.12andthevertical tune from 0.1 to 0.2 with a...
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1
8f7b603a-2b47-438a-8efe-9e786eceaa39
higher than 0.1, the proton’s horizontal beam size growth rate quickly increases. On the other hand, when the ESR horizontal tune is less than 0.06, the proton’s emittance growth rates increase too due to the pinch effect for the
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1
9ba40a95-a136-4237-bdf0-14f4962bd37d
electronbeam. Fortheelectron’sverticaltune,weneedto keep it away from the fifth resonance line at 0.2. BasedonthenewESRtunescan,werecommendanew ESR design working point (0.08, 0.14) for further dynamic apertureandelectronpolarizationsimulationstudies. Note thatthereisstillsomesafetunespacearound(0.08,0.14). For example...
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2
3e2f406e-f216-4c81-9df1-a0d31546959b
To adjust the electron bunch’s beam sizes at IP, we normally adjust its 𝛽*s at IP and/or the design electron emittances. Here we only adjusted the electron beam’s 𝛽*s. Figures 5 - 7 show the evolution of luminosity, horizontal, and ver- tical beam sizes after re-matching the electron and proton transverse beam sizes ...
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a98b39d3-8a5c-4028-a2f2-b9afe2c7d24d
ESR design tunes (0.08, 0.14). Figure 7: Evolution of vertical beam sizes with the new ESR design tunes (0.08, 0.14). Table2: ESRDesignParameterswiththeNewESRDesign Tunes (0.08,0.14) collision (275GeV, 10GeV) (275GeV, 18GeV ) lattice tunes (0.08, 0.14) tunes with BB (0.146,0.226) (0.158. 0.225) 𝛽* 𝑥,𝑦(cm) (55, 6.5) ...
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4e33857b-0e03-4c47-a9b2-10e4cf70752b
recommend a new design working point (0.08, 0.14) for the ESR. We re-matched the beam sizes of electron and proton beam sizes at IP and also tested the new working point with other collision mode. Studies are ongoing to evaluate the effectofthenewworkingpointonelectronpolarizationand dynamic aperture.
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92224e2c-ea68-48d8-8f6f-2357c45e817b
REFERENCES [1]J. Beebe-Wang et al., “Electron-Ion Collider: Conceptual De- sign Report”, Brookhaven National Laboratory, Jefferson Lab, 2021. www.bnl.gov/EC/files/EIC_CDR_Final.pdf [2]C.Montag et al.,“DesignStatusUpdateoftheElectron-Ion Collider”, presented at IPAC’23, Venice, Italy, May 2023, pa- per MOPA049, this con...
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3
65303b7c-c795-4d68-9457-cb40d6a2a9af
DYNAMIC APERTURE STUDIES FOR THE EIC ELECTRON STORAGE RING* Y . Nosochkov†, Y . Cai, Stanford Linear Accele rator Center, Menlo Park, CA 94025, USA J. S. Berg, J. Kewisch, Y . Li, D. Marx, C. Montag, S. Peggs, S. Tepikian, H. Witte, Brookhaven National Laboratory, Upton, NY 11973, USA G. H. Hoffstaetter, J. Unger...
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0
bf8e0644-9b7d-46ad-bdbd-d3148f465984
ring lattices have been continually optimized to improve the geometric and optics conditions. This paper presents results of the DA studies for the recent lattices of the Elec- tron Storage Ring at different energies, including non-lin-ear chromaticity correction, eff ects of errors, magnet field quality, and orbit c...
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0
e38005e5-c3ef-4c77-b85b-de9c5a1f8fec
sufficient beam lifetime requires that dynamic aperture (DA) in both transverse and momentum dimensions reaches the size of 10 σ of beam distribution. This is a chal- lenge because the IR final focus quadrupoles, where beta functions are very high, generate huge linear and non-lin- ear chromaticity and cause stro ng ...
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0
d997b02e-9839-4ac0-9d1b-8962df55a837
order to counterbalance the emittance growth with en- ergy. 2. The large rms energy spread of σ p ≈ 0.1%. The 10 GeV and 6 GeV configurations use the weaker 60° arc optics, where the rms energy spread is about 0.06%. The two-IP lattices have more high-beta IR quadrupoles, thus creating the strongest chromatic a...
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0
42e26726-b411-453e-a893-4fd52ba52966
CHROMATICITY The chromaticity correction scheme for the most chal- lenging 18 GeV lattice with two IPs is described in detail in [3, 4]. It consists of mu lti-family chromatic sextupoles, located in the arcs, and harmonic sextupoles in straight sec- tions. The scheme provides efficient correction of the non- linear...
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0
1ac1eab2-2289-4d7d-a767-4169ee63f9ae
used in the 60° arcs of the lower energy lattices; however, their arrangement is different. As a result, different sextu- pole families must be used in the 90° and 60° lattices, even though both corrections are based on the same principles. Since both configurations must use the same physical mag-nets, the sextupol...
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0
f0c9aa86-990a-44c0-9757-cdd3ff65a26d
For these studies, the betatron tune is ν x = 43.12, νy = 38.1, and the beta functions at the IP6, IP8 are βx* = 45 cm, βy* = 5.6 cm [6]. The IR high-beta final focu s quadrupoles create signifi- cant non-linear chromaticity in the form of chromatic beta beating and high order tune shift, which severely limit the ...
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0
a1831cda-cdc2-4210-afed-d6c0e9d6f9de
leaved -I sextupole pairs [7]. Therefore, the IR chromatic- ity correction has to be carried out by sextupoles in the arcs, called a semi-local correction. Figure 1: ESR beta functions at 10 GeV with two IRs. Schematic of the semi-local sextupole scheme on one side of the IP is shown in Fig. 2. Here, the six in...
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1
d47a42f2-f107-4834-a7ad-231f52ab6065
Fig. 2 by “phase trombone”. The chromatic beta beating is traditionally described by the Montague functions [8] or by the W-functions. The linear chromaticity in this region is also optimized for the best non-linear correction. In this scheme, ideally, the IP W-functions are matched to zero, and the large W-funct...
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1
72bbb315-85ea-4333-9186-b143a04573f5
scheme on one side of IP, where the columns are quadru- poles and the hexagons are six-family sextupoles. The optimal correction of the 10 GeV lattice with a sin- gle IR6 required an extension of the semi-local scheme to two arcs per each side of the IR6. The resulting cancella-tion of the IR large W-functions in the...
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1
4a6189da-ac7a-4641-a02e-411b86e52f76
there is only one arc-7 between the IRs. Therefore, sextu- poles in this arc must compensate both IRs. In this case, the semi-local scheme uses 18 sextupole families in arcs 5, 7, and 9. LEGO optimization determined that another six chromatic sextupole families are necessary in the remain-ing three arcs for both line...
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1
c95af05d-b37b-4984-a134-7637a98172ae
effects are included; and the rms beam size ( σ) is deter- mined conservatively for a fully coupled emittance of ε x = 22 nm and εy = εx / 2. Figure 3: W-functions in the 10 GeV lattice with the low- beta IR6, starting from IP6. Figure 4: Tune vs δ, and DA without errors at δ = 0 to 0.7% in the 10 GeV lat...
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1
22e8fad1-09e2-4aa0-85bc-e848f751c804
errors make distortions of beam orbit, dispersion, beta functions, x-y coupling, chromaticity, betatron tune, and excite non-linear resonances. The strongest effects come from errors in the high-beta magnets near the IP. To avoid unstable optics and minimize the DA reduction, the error effects are corrected usin...
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1
fd93f94f-8cb9-4e78-b9e8-9039d16a82f6
in LEGO. The betatron tune and linear chromaticity are maintained at their design values using two-family arc quadrupoles and sextupoles. The orbit is minimized with dipole correctors and BPMs, wh ere the vertical correctors are also used to minimize the vertical dispersion. The trans- verse coupling is corrected ...
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2
745e8693-a9f5-42e6-bed7-c70968c09166
for 10 seeds of random errors. Synchrotron oscillations and effects of non-linear fringe field in quadrupoles and dipoles [11] are included. The DA size is defined as the minimum DA among the 10 seeds. Simulations without radiation ef- fects yield a pessimistic DA estimate, while the radiation damping reduces the ele...
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2
29ad0e24-4eb3-4a1e-8cd5-7c7cce52e0ab
quadrupoles and dipoles near IP. Typical residual rms dis- tortions after correction are: 0.3-0.4 mm of orbit, ~1 m of Δβ, ~10 cm of horizontal and ~3 cm vertical dispersion. Various options for the magnet non-linear field have been examined. Measured mu ltipoles of PEP-II [12], HERA [13], and APS [14-16] magnets h...
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2
2219db85-820d-4c53-ba2e-eca4f94508be
plied to all magnets except the high-beta IR magnets. Mul-tipole tolerances in the high-beta quadrupoles and dipoles near IP are determined separate ly due to their strong impact on the DA. Dynamic aperture with errors for one-IR lattices at 10 GeV and 18 GeV are shown in Fig. 6. The multipole field in these case...
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57eb5334-218b-4167-9d02-dc966ef08534
for one-IR lattices at 10 GeV (left) and 18 GeV (right), where multipoles from the HE RA quadrupoles are used. Dynamic aperture for the more challenging two-IR lat- tice at 18 GeV is shown in Fig. 7 for the multipole options based on 1) HERA quadrupoles and ESR sextupoles, and 2) APS quadrupoles and sextupoles, whe...
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2
cafe3858-029e-473f-831a-71f41d207d3f
Assuming a reuse of the APS dual-plane correctors, which quantity is limited, we examined the scheme where these correctors and dual-plane BPMs are included only at defocusing quadrupoles, except in the ±100 m area around IP, where they are at all quad rupoles. This was compared to more traditional schemes with a ...
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aef9e1d8-af5d-4752-9d03-9686ddc40374
the DA due to the larger emi ttance should be considered when deciding on the op timal correction scheme. This study demonstrates that the required 10 σ DA in both transverse and momentum dimensions has been achieved with the described chromaticity correction scheme and a careful correction of errors, including the ...
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2
54ef68a7-e7c9-4cc1-b83c-5c86ff0b0e06
REFERENCES [1] J. Beebe-Wang et al., “Electron-ion collider: conceptual de- sign report", Brookhaven National Laboratory, Thomas Jef- ferson National Accelerator Facility, 2021. www.bnl.gov/EC/files/EIC_CDR_Final.pdf [2] C. Montag et al ., “Design status of the electron-ion col- lider", presented at IPAC’23, Venic...
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3
3347d8f9-0663-4115-8879-e5d477657841
[5] K. L. Brown and R. V. Serv ranckx, “Optics modules for cir- cular accelerator design”, SLAC-PUB-3957, May 1986. [6] Y. Luo et al., “Optimizing the design tunes of the electron storage ring of the electron-ion collider,” presented at IPAC’23, Venice, Italy, Ma y 2023, paper MOPA047, this conference. [7] M. Dona...
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b3118c67-898c-484e-8b84-af21dc911f8b
accelerators", Nucl. Instrum. Methods , vol. 797, pp. 172-18, 2015. [11] Y . Cai and Y . Nosochkov, “Dynamical effects due to fringe field of the magnet in circular accelerators", in Proc. PA C ’ 0 5 , Knoxville, TN, USA, May 2005, paper MPPE025, pp. 1907-1909. [12] “PEP-II: an asymmetric B factory. Conceptual d...
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8ad1d4fe-8072-4afd-a17b-e57fde84cbbb
2807. [15] S. H. Kim, D. W. Carnegie, C. Doose, R. Hogrefe, K. Kim, and R. Merl, “Statistical analyses of the magnet data for the Advanced Photon Source storage ring magnets", in Proc. PA C ’ 9 5 , Dallas, Texas, USA, May 1995, pp. 1310-1315. [16] C. L. Doose, privat e communication, Mar. 2023. [17] H. Witter, ...
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167e9675-da45-4cfd-9e4c-7a3bdfe62b48
DESIGN STATUS OF THE ELECTRON-ION COLLIDER∗ C. Montag†, E. C. Aschenauer, B. Bhandari, P. Baxevanis, J. S. Berg, W. Bergan, M. Blaskiewicz, A. Blednykh, Z. Conway, K. A. Drees, A. V. Fedotov, W. Fischer, C. Folz, D. Gassner, X. Gu, R. Gupta, K. Hamdi, Y. Hao, C. Hetzel, D. Holmes, H. Huang, J. Jamilkowski, D. Kayran, J...
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0
fb50bcc2-b293-47b2-afb9-a71f0c1cc69e
R. Rimmer, T. Satogata, A. Seryi, M. Wiseman, TJNAF, Newport News, USA, V. Morozov, F. Lin, Oak Ridge National Laboratory, TN, USA E. Gianfelice-Wendt, Fermi National Accelerator Laboratory, Batavia, IL, USA, Y. Cai, Y. Nosochkov, G. Stupakov, M. Sullivan, SLAC, Menlo Park, CA, USA G. Hoffstaetter, D. Sagan, M. G. Sign...
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1d522ea4-33f4-4c6e-869c-17c9c69082b6
and the overall status of the project, and present the plans for future activities. OVERVIEW The Electron-Ion Collider (EIC) will be built at BrookhavenNationalLaboratoryinapartnershipbetween BNLandTJNAF.Theprojectutilizestheexistinginfrastruc- ture of the Relativistic Heavy Ion Collider (RHIC) accel- eratorcomplex. Th...
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0
2d1a71c7-7d2c-4993-b534-6cbe47ffd365
and sPHENIX detectors, respectively. While only the inter- action region and corresponding detector in IR6 are within thescopeoftheEIC,asecondinteractionregionishighly desirable. Therefore,itismandatorytodemonstratethatthe EIC is indeed capable of supporting two interaction regions, both in terms of geometric layout an...
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0
07cf8d6d-7c13-4cf1-b56a-1f29127438c8
radiationlossesto10MW,theelectronbeamintensityhas tobereducedaccordingly,resultinginacorrespondingre- duction in luminosity. HADRON STORAGE RING Thehadronstoragering(HSR)consistsofamixtureof the superconducting arcs of the existing RHIC facility, with some necessary modifications, both to the lattice and layout of the ...
d:\Daily_ihep\Weekly Progress Report\20260425\41_IPAC'23\MOPA - Monday Poster Session_ MOPA\MOPA049.pdf
0
efc56488-212a-4c71-8253-4a051f0ab437
energyrange[5]. Toaccommodatethelargenumberofhigh intensity,shortbunches,pre-coated,activelycooledbeam screens will be inserted into the beam pipes. The copper coatingofthesesleeveswillreducetheresistivewallheating tolevelsmanageablebythecryogenicsystem,whileanaddi- tional amorphous carbon coating will reduce the secon...
d:\Daily_ihep\Weekly Progress Report\20260425\41_IPAC'23\MOPA - Monday Poster Session_ MOPA\MOPA049.pdf
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3e3b6cf4-1243-4cfe-89e9-6ae8fbecaafe
prove the polarization transmission for protons on the ramp, four additional Siberian snakes will be installed in the HSR, bringing the total number to six [10 –12]. Spin tracking sim- ulations have been performed to demonstrate the feasibility ofacceleratingpolarized3Heinthisconfiguration[13]. The spinrotatorsaroundth...
d:\Daily_ihep\Weekly Progress Report\20260425\41_IPAC'23\MOPA - Monday Poster Session_ MOPA\MOPA049.pdf
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ationdampingatenergiesbelow10GeV[16]. Inaneffort to reduce cost, the existing quadrupoles, sextupoles and dual-planedipolecorrectorsoftheAdvancedPhotonSource (APS)willbere-usedthroughoutthearcsandmostofthe straight sections. Dipole magnets as well as a small num- ber of special quadrupoles for installation in tight spa...
d:\Daily_ihep\Weekly Progress Report\20260425\41_IPAC'23\MOPA - Monday Poster Session_ MOPA\MOPA049.pdf
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A particular challenge in this respect is the generation of a vertical emittance of about 3 nm (10 percent emittance coupling)withoutnegativelyaffectingpolarization[23]. Pre- liminary design of the components of the ESR is underway, like the SRF cavities [24], vacuum components [25], or collimators [26]. RAPID CYCLING ...
d:\Daily_ihep\Weekly Progress Report\20260425\41_IPAC'23\MOPA - Monday Poster Session_ MOPA\MOPA049.pdf
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