Final-Focus Superconducting Magnets for SuperKEKB

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Final-Focus Superconducting Magnets for SuperKEKB N. Ohuchi KEK: Y. Arimoto, K. Aoki, M. Kawai, T. Kawamoto, H. Koiso, Y. Kondo, M. Masuzawa, A. Morita, S. Nakamura, Y. Ohnishi, T. Oki, Y. Ohsawa, H. Sugimoto, K. Tsuchiya, R. Ueki, X. Wang, H. Yamaoka, Z. Zong BNL: P. Wanderer, B. Parker, M. Anerella, J. Escallier, A. Marone, A. Jain FNAL: G. Velev, J. DiMarco, J. Nogiec, M. Tartaglia, T. Gardner Mitsubishi Electric Corp.: T. Kim 2018/05/01 IPAC'18 1

Contents 1. SuperKEKB Interaction region (IR) 2. IR superconducting magnet design 3. Construction of superconducting magnets 4. Magnetic field measurements 5. Summary 2018/05/01 IPAC'18 2

e + e - 7 GeV 2.6 A (HER) From KEKB to SuperKEKB 4 GeV 3.6 A (LER) SuperKEKB New Final Focus System Beam size: e - =48 nm, e + =62 nm at IP Apr. 2009:Start of nano-beam scheme IR design Jul. 2012:kickoff of building the 1 st quadrupole Dec. 2015:Completion of 1 st magnet cryostat (QCS-L) Mar. 2017:Completion of the FF system May-Aug. 2017: Commissioning of the FF system KEKB SuperKEKB L=2.1 10 34 cm -2 s -1 8 10 35 cm -2 s -1 1. Extremely small β y KEKB β y = 5.9 mm SuperKEKB β y =0.27 (LER), 0.30 (HER) 2. Beam current double KEKB e + =1.8 A, e = 1.3 A SuperKEKB e + = 3.6 A, e = 2.6 A Jun. 2010: Shut-down of KEKB operation Kickoff of SuperKEKB construction Feb. Jun. 2016:Phase-1 commissioning Mar. 19 th, 2018: Phase-2 commissioning has started MOXGB1: Report on SuperKEKB Phase 2 commissioning Yukiyoshi Ohnishi 2018/05/01 IPAC'18 3

Belle-II Detector SuperKEKB IR Overview HER(e- beam) LER(e+ beam) QC2RE QC1RE QC2RP QC1LP QC1RP QC2LP QC1LE QC2LE Design Constraint: 1. Quadrupoles need to be located as close to IP as possible. Beam crossing angle=83 mrad Quadrupoles need to be located in the two beam separation. 2. Quite tight space constraints for SC magnets and cryostats Beam pipes at room temperature Boundary with the Belle-II detector components 3. Belle-II 2018/05/01 solenoid field at 1.5 T superimposes IPAC'18 on the FF system. 4

HER QC2LE 4 correctors (a1,b1,a2,b4) Helium Vessel Configuration of IR magnets QCS-L Cryostat QC2LP 4 correctors (a1,b1,a2,b4) Helium Vessel QC1LE 4 correctors (a1,b1,a2,b4) ESL solenoid QC1LP 4 correctors (a1,b1,a2,b4) Leak field cancel coils (b3,b4,b5,b6) IP 83 mrad QCS-R Cryostat Helium Vessel ESR1 Solenoid QC1RE 4 correctors (a1,b1,a2,a3) Leak field cancel coils (b3,b4,b5,b6) QC1RP 5 correctors (a1,b1,a2,a3,b4) b3 corrector QC2RP 4 correctors (a1,b1,a2,a3) b3 corrector Helium Vessel ESR2 QC2RE 4 correctors (a1,b1,a2,a3) ESR3 LER 25 SC magnets in QCSL 30 SC magnets in QCSR 4 SC main quadrupole magnets: 1 collared magnet, 3 yoked magnets 4 SC main quadrupole magnets: 1 collared magnet, 3 yoked magnets 16 SC correctors: a1, b1, a2, b4 19 SC correctors: a1, b1, a2, a3, b3, b4 4 SC leak field cancel magnets: b3, b4, b5, b6 4 SC leak field cancel magnets: b3, b4, b5, b6 1 compensation solenoid 2018/05/01 3 compensation solenoid IPAC'18 5

IR SC magnets Main quadrupoles [QC1, QC2]: 8 magnets Forming final beam focusing system with quadrupole doublets. Correctors [a 1, b 1, a 2, a 3, b 3, b 4 ]: 35 magnets a 1, b 1, a 2 : magnetic alignment of the magnetic center and the mid-plane phase angle of main quadruple. a 3, b 3 : correction of sextupoles induced by magnet construction errors. b 4 :increasing the dynamic transverse aperture (increasing the Touschek life time). Compensation solenoid[esr, ESL]: 4 magnets Canceling the integral solenoid field by the particle detector (Belle II). By tuning the B z profile, the beam vertical emittance is designed to be minimized. The compensation solenoids are designed to be overlaid on the main quadrupoles and correctors. ESR consists of three solenoid magnets of ESR1, ESR2 and ESR3. Leak field cancel coils [b 3, b 4, b 5, b 6 ]: 8 magnets Canceling the leak field on the electron beam line from QC1P (collared magnet). Total number of the SC devices in two cryostats = 55 2018/05/01 IPAC'18 6

IR SC magnets Main quadrupoles [QC1, QC2] QC1L(R)P, QC2L(R)P for the left (right) side cryostat to IP and for the positron beam line. QC1L(R)E, QC2L(R)E for the left (right) side cryostat to IP and for the electron beam line. QC2LP ESL QC1LP ESR QC1RE ESR-add QC2RE QC2LE QC1LE QC1RP QC2RP IRON Integral field gradient, (T/m) m Magnet type Z pos. from IP, mm, mrad X, mm Y, mm QC2RE 13.58 [32.41 T/m 0.419m] Iron Yoke 2925 0-0.7 0 QC2RP 11.56 [26.28 0.410] Permendur Yoke 1925-2.114 0-1.0 QC1RE 26.45 [70.89 0.373] Permendur Yoke 1410 0-0.7 0 QC1RP 22.98 [68.89 0.334] No Yoke 935 7.204 0-1.0 QC1LP 22.97 [68.94 0.334] No Yoke -935-13.65 0-1.5 QC1LE 26.94 [72.21 0.373] Permendur Yoke -1410 0 +0.7 0 QC2LP 11.50 [28.05 0.410] Permendur Yoke -1925-3.725 0-1.5 QC2LE 15.27 [28.44 0.537] Iron Yoke -2700 0 +0.7 0 2018/05/01 IPAC'18 7

IR SC magnets Cross section design of main quadrupoles [QC1, QC2] The quadrupole magnets are designed with the two layer SC coils (double pane cake design). SC Coils for QC1LP QC1LP Quadrupole Magnet 2018/05/01 IPAC'18 8

IR SC magnets Corrector magnets The SC correctors were designed and directly wound on the support bobbin (helium inner vessel) by BNL under the US-Japan Science and Technology Cooperation Program in HEP. Multi-layer coil [maximum layer=4 by limiting with the gap distance between the main quadrupole magnet and the helium inner vessel] Some correctors were assembled on the outer surface of QC1LP and QC1RP (no magnetic yoke). QCSL- Main Quadrupole Corrector QCSR-Main Quadrupole Corrector QC1LP a 1, b 1, a 2, b 4 QC2LP a 1, b 1, a 2, b 4 QC1LE a 1, b 1, a 2, b 4 QC2LE a 1, b 1, a 2, b 4 QC1RP a 1, b 1, a 2, b 4, a 3 b 3 QC2RP a 1, b 1, a 2, a 3 QC1RE a 1, b 1, a 2, a 3 QC2RE a 1, b 1, a 2, a 3 Between QC1RP and QC2RP b 3 Between QC1RE and QC2RE b 3 Direct winding process @BNL Assembly of QC2LE and correctors 2018/05/01 IPAC'18 9

IR SC magnets QC1P leak field cancel magnets QC1P for the e+ beam line is non-iron magnet and the e- beam line is very close to QC1P. The leak fields from QC1P go through the e- beam line. B 3, B 4, B 5 and B 6 components of the leak fields are designed to be canceled with the SC cancel magnets. B 1 and B 2 components are not canceled, and they are included in the optics calculation. QC1P Leak field B 4 cancel magnets 2018/05/01 IPAC'18 10

IR SC magnets Assembly of the QC1LP, QC2LP, QC1LE, correctors and QC1LP leak field cancel magnets (Front cold mass of QCSL) QC1LE a1, b1, a2, b4 correctors Magnetic shield QC1LP leak field cancel magnets QC2LP a1, b1, a2, b4 correctors Magnetic shield QC1LP a1, b1, a2 correctors b4 corrector 2018/05/01 IPAC'18 11

IR SC magnets Compensation solenoids [ESL, ESR1, ESR2-3] ESR2-3 compensation solenoid ESL compensation solenoid Magnet length= 914 mm Maximum field at 404 A= 3.53 T Stored Energy= 118 kj ESR1 compensation solenoid Magnet length= 1575 mm Maximum field at 450 A=3.19 T Stored Energy= 244 kj Cold diode quench protection system 2018/05/01 IPAC'18 12

Solenoid field profiles IR magnets 2018/05/01 IPAC'18 13

QCS System in Tsukuba Exper. Hall Construction of final focus magnet system in SuperKEKB IR was completed in March, 2017. 2018/05/01 IPAC'18 14

Two cryostats in SuperKEKB IR Belle-II Detector QCSR QCSL 2018/05/01 IPAC'18 15

Installation of QCS cryostats into Belle-II 2018/05/01 IPAC'18 16

Magnetic field measurements Single Stretched Wire measurement (SSW) Measurements of magnetic field centers and angles of the quadrupole field of QC1 and QC2 SSW system for SuperKEKB was developed by FNAL under the research collaboration of US-Japan Science and Technology Cooperation Program in High Energy Physics. Harmonic coil measurement Integral magnetic field quality measurements of the SC magnets Higher order multipole field profile measurements along the beam lines Magnetic field strength measurements as the function of the transport magnet current 6 harmonic coils were prepared for the integral field measurements and the field scan measurements (L=20 mm). 3 axis-hall probe measurement Solenoid field profile measurements along the beam lines Tuning the field profiles along the beam lines to complete the cancelation of the integral Belle solenoid field. 2018/05/01 IPAC'18 17

SSW measurement SSW measurement system in the IR Two magnet-cryostats of QCSL/R were aligned to the beam lines with the targets of the cryostats. A BeCu single wire of 0.1 mm, which was aligned to the design beam line, was stretched through QCSR and QCSL cryostat bores. The measurements were performed with operating the Belle SC solenoid at 1.5 T, and ESL and ESR1 solenoids. The measured data include the displacement by the electro-magnetic forces between solenoids and magnetic components in the cryostats. QCSL magnetcryostat QCSR magnetcryostat 2018/05/01 IPAC'18 18

SSW measurement The quadrupole field centers and angles of 8 SC quadrupole magnets in the QCSL/R magnet-cryostats from June 19, 2017 to June 30, 2017. The measurements were successfully completed, and the measured results were shown in the graph below. In order to exclude the solenoid field effect on the measurements, the transport currents to the magnets in the operation mode were AC 9 A. Horizontal direction Vertical direction 2018/05/01 IPAC'18 19

SSW measurement summary Measured magnetic center shifts to the design values and field angles to the horizontal planes of the 8 main quadrupoles as follows: QC1LP QC2LP QC1RP QC2RP x, mm 0.01-0.34 0.68 0.49 y, mm -0.21-0.69-0.30 0.04, mrad -1.67-4.05 2.02-1.73 QC1LE QC2LE QC1RE QC2RE x, mm -0.21 0.13 0.25 0.08 y, mm -0.29-0.54-0.37-0.58, mrad -1.60-1.54-0.14-0.73 Every alignment errors are able to be corrected by the corrector magnets. 2018/05/01 IPAC'18 20

Harmonic coil measurements Measurements of harmonic coils in SuperKEKB IR (in July, 2017) One unit of measurement system has two harmonic coils. The harmonic coils are moved by the mover, the movement is measured by the digital scaler. For QC1P and QC1E L=600 mm and 20 mm, R=12 mm For QC2P L=700 mm and 20 mm, R=25 mm For QC2E L=800 mm and 20 mm, R=33 mm 2018/05/01 IPAC'18 21

Integral field quality of the QC1/2 magnets (measured under solenoid fields) The strengths of the multipole field components are normalized with the B 2 field strength as 10,000. R=10 mm R=15 mm R=30 mm R=35 mm 2018/05/01 IPAC'18 22

Magnetic field profile of the QC1/2 magnets Measured results:qc1le magnetic field profile along the HER beam line 2018/05/01 IPAC'18 23

Magnetic field profile of the QC1/2 magnets Measured results:qc2re magnetic field profile along the HER beam line A 1, B 1 A 2, B 2 A 3, B 3 A 4, B 4 A 5, B 5 A 6, B 6 2018/05/01 IPAC'18 24

Magnetic field measurements of the correctors QC1LP QC2LP QC1LE QC2LE Corrector Specific requirement Measurements at 60 A (on the beam line) Allowable alignment at 60 A a1 0.016 Tm @ R=10mm 0.0177 Tm 0.73 mm b1 0.016 Tm 0.0146 Tm 0.63 mm a2 0.64 T 0.801 T 17.4 mrad b4 60 T/m 2 295 T/m 2 a1 0.03 Tm @ R=30mm 0.0350 Tm 1.18 mm b1 0.03 Tm 0.0409 Tm 2.33 mm a2 0.31 T 0.640 T 27.9 mrad b4 60 T/m 2 107.7 T/m 2 a1 0.027 Tm @ R=15mm 0.0323 Tm 0.92 mm b1 0.046 Tm 0.0551 Tm 0.93 mm a2 0.75 T 0.932 T 17.3 mrad b4 60 T/m 2 730 T/m 2 a1 0.015 Tm @ R=35mm 0.0400 Tm 2.52 mm b1 0.015 Tm 0.0442 Tm 2.89 mm a2 0.37 T 0.753 T 24.7 mrad b4 60 T/m 2 142.9 T/m 2 2018/05/01 IPAC'18 25

Magnetic field measurements of the correctors QC1RP QC2RP QC1RE QC2RE Corrector Optics requirement Measurements at 60 A (on the beam line) Allowable alignment at 60 A a1 0.016 Tm 0.0174 Tm 0.57mm b1 0.016 Tm 0.0159 Tm 0.53 mm a2 0.64 T 0.798 T 17.4 mrad a3-> b3 5.1 T/m 9.57 T/m b4 60 T/m 2 268 T/m 2 a1 0.03 Tm 0.0578 Tm 3.99 mm b1 0.03 Tm 0.0362 Tm 1.28 mm a2 0.31 T 0.630 T 27.3 mrad a3 0.905 T/m 1.087 T/m 2 a1 0.027 Tm 0.0313 Tm 0.96 mm b1 0.046 Tm 0.0550 Tm 0.92 mm a2 0.75 T 0.889 T 16.8 mrad a3 4.55 T/m 22.85 T/m a1 0.015 Tm 0.0310 Tm 2.25 mm b1 0.015 Tm 0.0353 Tm 2.71 mm a2 0.37 T 0.602 T 23.1 mrad a3 1.05 T/m 6.51 T/m QC1-2RE b3 18.2 T/m 55.5 T/m QC1-2RP b3 11.48 T/m 28.3 T/m 2018/05/01 IPAC'18 26

Magnetic field profiles of the cancel magnets QCSR: From the measurement results of the harmonic coil and SSW (-0.14 mrad) for QC1RE, the scan data by the short harmonic coil were corrected. RcanB 3 =40.098 A RcanB 4 =26.002 A QC1RP=1625A RcanB 3 =40.098 A QC1RP=1625 A RcanB 4 =26.002 A QC1RP I op =1602.2 A ƩB 3 =0: B 3 : operating current=40.4403 A ƩA 3 =4.098 10-6 Tm @ R=10mm QC1RP I op =1602.2 A ƩB 4 =0: B 4 : operating current=27.6702 A ƩA 4 =1.62 10-4 Tm @ R=10mm 2018/05/01 IPAC'18 27

Hall probe measurements along the beam lines Required precision of the magnetic field in the SuperKEKB IR Field error for accelerator beam operation < 10 Gauss Magnetic field mapping of the beam lines by 3-axis Hall probe Field error for particle analysis < 15 Gauss Magnetic field measurements inside the Belle director with the field mapper of 3- axial Hall probes and the fixed 3-axial Hall probes (by DESY group under the Belle II collaboration) Measured magnetic field data are used for improving the 3D magnetic field calculation model which produces the precise field map in the SuperKEKB IR and in the Belle-II. 2018/05/01 IPAC'18 28

Hall probe measurements along the beam lines Mapping the magnetic field along the beam lines The measurement system consisted of the commercial Hall probe and the scanning mover. The hall probe position was defined with the Belle end yokes. 3 Axis-Hall-probe 2018/05/01 IPAC'18 29

Hall probe measurements along the beam lines Calculation by ANSYS Measured field profile along HER beam line Belle Gp (DESY) field mapping QCSL QCSR Building the field profile with measurement and calculation From the field measurements, the transport current of ESL was changed from 404 A to 390 A. The currents of ESR1 and ESR2-3 are 450 A and 151 A. 2018/05/01 IPAC'18 30

3D-magnetic field calculation model SuperKEKB IR magnetic field calculation model by OPERA-3D All SC magnets and magnetic components are included. 2018/05/01 IPAC'18 31

Summary The quite sophisticated final focus system, QCS, for SuperKEKB has been completed and it is now having beams as SuperKEKB Phase-2 commissioning. The two beams successfully completed the first collision at April 26 th, 2018. MOXGB1: Report on SuperKEKB Phase 2 commissioning Yukiyoshi Ohnishi Data of the magnetic field measurements on the beam lines are still being studied. With the field measurement data, the precise and complete 3D field calculation model will be constructed for the Phase-3 operation. 2018/05/01 IPAC'18 32

Thank you for your attention! 2018/05/01 IPAC'18 33