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1 COE

2 COOL05

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8 @

9 n ν x, y 2 2

10 International Workshop on Beam Cooling and Related Topics ( COOL05)

11

12 General Topics Overview. S-LSR Report from Lab

13 Report from Lab Electron Cooling

14 Muon Cooling

15 Experimental Study of Dispersion Control Utilizing Both Magnetic and Electric Fields COOL05 September 18 th -23 th,2005 Galena, Illinois Mikio Tanabe 1, Masahiro Ikegami 1, Akira Noda 1, Toshiyuki Shirai 1, Hiromu Tongu 1, Hikaru Souda 1, Shinji Shibuya 2, Koji Noda 2 ICR, Kyoto University 1 National Institute of Radiological Sciences 2

16 Table of Contents 1. Motivation S-LSR and cooling experiments Why and how? 2. Electrodes to Control Dispersion Design and electric field 3. Experiments Controlled linear dispersion 4. Summary and Future Plans

17 S-LSR Electron cooler Proton Ring dye laser Mg + COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

18 Shearing Force Shearing force want to be canceled less time more time Ordering particles at a bending section COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

19 How to overcome Shearing force Decelerated Lines of electric force Potentials are adjusted Accelerated Accelerated Same velocity Same angular velocity Decelerated COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

20 Example: Uniform electric field strength Coil Bending magnet B E Inner main electrode (positively biased) 60 B E Outer main electrode (negatively biased) E B Reference orbit Center of the curvature ( r = 0) Equation of motion 2 v m = qvb qe r When v v + v, m r 1+ r r 1 r r qb v = 1+ v v = 1 qe v v v Neglecting 2 nd or higher order, qr v 2 mv 2 v ( vb E) Condition to cancel linear dispersion vb 2 E = 0 2 COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

21 Conditions at electrodes set point Electrodes Vacuum duct Movable Bending magnet of S-LSR Cross section of the magnet COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

22 Structure of a set of electrodes 26mm Main electrode Main electrode 3-d view 30mm Cross sectional view Intermediate electrode COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

23 Picture of a set of electrodes 1082 mm 30mm 26mm Hole for laser path COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

24 Experimental setup Fluorescent screen Beam slit Ion source Setup from an ion source to fluorescent screen COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

25 Experimental condition Beam : N 2 + Energy : 25 kev Emittance : 5 mm mrad Vacuum condition : ~10-5 Pa Magnetic and Electric field strength B [T] E[V/m] None Ex.) Ex.) Only B vb > 2E vb = 2E Dispersion free vb < 2E COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

26 Images on screen 1 Outside r increase Inside r decrease Magnetic field only kev (beam kinetic energy) COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

27 Images on screen 2 Outside r increase Inside r decrease kev (beam kinetic energy) Magnetic and electric field (dispersion cancel condition) COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

28 Results 1 Deviation of radial position (%) Magnetic field only Magnetic and electric field (dispersion cancel condition) r / r v / v Momentum deviation (%) v / v Momentum deviation (%) Linear dispersion is canceled COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

29 Deviation of radial position (%) Results 2 vb > 2E r / r r / r =2.7:1 =2.3:1 Momentum deviation (%) v / v vb < 2E r / r r / r =1.8:1 =1.7:1 v / v Dispersions are controlled v / v COOL05, Sep. Ridge Resort and Spa, Galena Illinois, The United States

30 Summery and Future Plans Summery 1. Design a set of Electrodes Field error<0.1% (+-5mm from the reference orbit) 2. Test the effect of electric fields Canceled linear dispersion Controlled linear dispersion (from + to ) Future 1. Apply dispersion control to storage ring 2. Apply these dispersion control to laser cooling

31 dispersion Coffee break

32 Dispersion storage ring Electron cooling Meshkov Parkhomchuk Sessler Schramm etc. Fermilab Kermit

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