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beam line project

beam line project. g-2 is statistics limited g-2 needs more muons goal x4 muons. items under consideration target capture optics decay channel backward decays inflector …. electronic notebook at http://zero.npl.uiuc.edu:8081. V line V target to g-2 ring. 6 dipoles 29 quads.

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beam line project

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  1. beam line project g-2 is statistics limited g-2 needs more muons goal x4 muons • items under consideration • target • capture optics • decay channel • backward decays • inflector • … electronic notebook at http://zero.npl.uiuc.edu:8081

  2. V line V target to g-2 ring

  3. 6 dipoles 29 quads

  4. V line V target to Q10 QQDDQQ|QQDD QQQQ

  5. V line Q11 to Q 20 Q Q Q Q Q Q Q Q Q Q D F D F D F D F D F

  6. V line D5 to g-2 ring DQQ Q QQD QQQQ

  7. inflector and storage ring apertures downstream view storage ring aperture inflector aperture

  8. useful to follow rays with or with TRANSPORT formalism I first order TRANSPORT linearizes equations of motion every beam line element is represented by a matrix assuming a median plane transverse motions are uncoupled

  9. TRANSPORT formalism II beam is represented by ellipse in phase space TRANSPORT of ellipse via same R matrix useful to follow ellipse or beam envelope

  10. TRANSPORT formalism III beam ellipse can be expressed in terms of CSL parameters often called accelerator notation important relations:

  11. Transport calculation V target to g-2 ring parameters from btraf g2pimu.inp beam envelope non-bend (yz) plane (vertical) FODO lattice bend (xz) plane (horizontal)

  12. real, one eigenvalue is > 1 for stability, must be complex accelerator physics notation Ifor FODO lattice

  13. accelerator physics notation I FODO lattice Transport matrix F O D O

  14. accelerator physics notation IIfor FODO lattice m: phase advance

  15. accelerator physics notation IIIfor FODO latticeCSL parameters(i.e. values of a, b, g at F)

  16. accelerator physics notation IVfor FODO lattice beta function gradient length rigidity

  17. max and min of beta function vs quad field L = 12.446 m forward 3.15 GeV/c backward 5.22 GeV/c g-2 operating point

  18. effect of increasing number of quads, I 0.660 m 12.446 m double triple quadruple

  19. effect of increasing number of quads, II Suppose then beam smaller and divergence larger

  20. phase space calculation of effect of change in beta function Morse g-2 #448 X2 quads X4 quads

  21. Transport calculation V target to g-2 ring btraf g2pi.inp with doubled lattice

  22. muon lab angle vs muon lab momentum +/- 0.5 % ~ 1 mr g-2 operating point x at every five degrees in com

  23. pion momentum, stored muonsoperating point g-2 operating point 4 mr source PRD draft

  24. momentum ellipses for for/backward decays pfor = 3.15 GeV/c pfor = 5.22 GeV/c pmagic

  25. what changes for backward decays?simple scaling 5.22/3.11

  26. possible factors improvement increase number of quads in lattice x2 backward decays x4 open up inflector x1.7 goal x4 muons

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