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Decay Ring Options for VLENF

This document provides an overview of the options for a decay ring in the VLENF, including conventional decay ring and solenoid ring. It covers topics such as racetrack vs dogbone ring, acceptance studies, combined-function magnet ring, and axially symmetric focusing.

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Decay Ring Options for VLENF

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  1. Decay Ring Options for VLENF Alex Bogacz and Vasiliy Morozov VLENF phone Mtg. April 12, 2012

  2. Overview • Conventional Decay Ring (3GeV) • Dipoles 1.2 Tesla • Quads • Racetrack vsDogbone Ring • Acceptance studies (OptiM and MAD-X tracking) • Combined function magnet Ring • Solenoid Ring • Axially symmetric focusing - Solenoids • Dipole bends • Acceptance studies (OptiM tracking) VLENF phone Mtg. April 12, 2012

  3. Racetrack vs Dogbone Decay Ring 242 meter Racetrack Ring 57 m arc 2 × 64 m straights 57 m arc 352 meter Dogbone Ring 112 m droplet 112 m droplet 64 m straight VLENF phone Mtg. April 12, 2012

  4. 3 30 BETA_X&Y[m] DISP_X&Y[m] -3 0 0 BETA_X BETA_Y DISP_X DISP_Y 243 3 30 BETA_X&Y[m] DISP_X&Y[m] -3 0 0 BETA_X BETA_Y DISP_X DISP_Y 351.817 Racetrack vs Dogbone Ring - Optics Muon decay at 3 GeV (e-folding) 77 turns 52 turns VLENF phone Mtg. April 12, 2012

  5. 20 1.5 BETA_X&Y[m] DISP_X&Y[m] -1.5 0 0 BETA_X BETA_Y DISP_X DISP_Y 121.5 Ring Optics (900 doublets + 300 FODO) racetrack ring (2×121.5 = 243 meter circumference ) P = 3 GeV/c bend L[cm]=250 B[kG]=12.575 qFL L[cm]=100 G[kG/cm]=0.2 qDL L[cm]=100 G[kG/cm]=-0.2 qF L[cm]=60 G[kG/cm]=1.12 qD L[cm]=60 G[kG/cm]=-1.09 qFL L[cm]=100 G[kG/cm]=0.2 qDL L[cm]=100 G[kG/cm]=-0.2 VLENF phone Mtg. April 12, 2012

  6. 30 30 Size_Y[cm] Size_X[cm] 0 0 0 Ax_bet Ay_bet Ax_disp Ay_disp 121.5 Ring (half) – Beam Envelope P = 3 GeV/c 2.5 s beam envelope aperture radius L[cm]=20 aperture radius L[cm]=25 eN = 30 mm rad sDp/p= 0.05 VLENF phone Mtg. April 12, 2012

  7. Dynamic Aperture – 80 turns initial 1.000000 $MuDecay=2.2e-6; => 2.2e-06 $C=12150*2; => 24300 $NTurn=$gamma*$MuDecay*$beta*$c/$C; => 77 turn 1 0.720300 turn 80 0.540900 0.569300 turn 30 eN = 30 mm rad sDp/p= 0.05 NuFact08, Valencia 6/30/08 VLENF phone Mtg. April 12, 2012

  8. Transverse Acceptance – 80 turns initial 1.000000 turn 80 0.540900 eN = 30 mm rad sDp/p= 0.05 NuFact08, Valencia 6/30/08 VLENF phone Mtg. April 12, 2012

  9. Racetrack Lattice in MAD-X 9 V.S. Morozov VLENF phone Mtg. April 12, 2012

  10. Tracking in MAD-X 1 turn, 62.3% Initial, 100% 80 turns, 53.7% 30 turns, 55.0% • 1000 particles, xN = 30 mmrad, yN = 30 mmrad, p/p = 0.05, same collimation as Alex • Limitations due to physical apertures  Stronger focusing needed to improve acceptance 10 V.S. Morozov VLENF phone Mtg. April 12, 2012

  11. Combined-Function FODO Lattice • Focusing strength is the same as of the same-length separate-function lattice 11 V.S. Morozov VLENF phone Mtg. April 12, 2012

  12. 3 30 BETA_X&Y[m] DISP_X&Y[m] -3 0 0 BETA_X BETA_Y DISP_X DISP_Y 255.8 Solenoid Ring racetrack ring (256 meter circumference ) P = 3 GeV/c VLENF phone Mtg. April 12, 2012

  13. 3 20 BETA_X&Y[m] DISP_X&Y[m] -3 0 0 BETA_X BETA_Y DISP_X DISP_Y 127.9 Solenoid Ring (Half) racetrack ring (256 meter circumference ) P = 3 GeV/c 16  bends + 15 solenoids 16 solenoids solenoid L[cm]=100 B[kG]=22-78 r[cm]=30 bend L[cm]=150 B[kG]=12. solenoid L[cm]=100 B[kG]=47-103 r[cm]=25 VLENF phone Mtg. April 12, 2012

  14. Dynamic Aperture – 70 turns $MuDecay=2.2e-6; => 2.2e-06 $C=25600; => 25600 $NTurn=$gamma*$MuDecay*$beta*$c/$C; => 73. initial 1.000000 0.499000 turn 73 eN = 30 mm rad sDp/p= 0.05 NuFact08, Valencia 6/30/08 VLENF phone Mtg. April 12, 2012

  15. Summary – Conventional Ring • Decay Ring (3 GeV Racetrack of 243 meter circumference) • 7 m betas, 90 cm hor. dispersion in the Arcs • 15 m betas in the Straight • Acceptance - Dynamic Aperture Study • transverse: eN= 30 mm rad • momentum: sDp/p= 0.05 • Physical aperture: r = 20 cm (Arc) and r = 25 cm (Straight) • 46% dynamic lost after 80 turns • Compact Ring Optics – Linear lattice • Dipole bends (2.5 m long, 12.6 kGauss)  20 • Doublet focusing - Quads (0.6 m long, 1.1 kGaus/cm)  44 • FODO focusing - Quads (1 m long, 0.2 kGaus/cm)  38 VLENF phone Mtg. April 12, 2012

  16. Summary – Solenoid Ring • Decay Ring (3 GeV Racetrack of 256 meter circumference) • ~250 cm hor. dispersion in the Arcs • ~8 m Beta functions Arc • ~15 m Beta functions straight • Acceptance: • transverse: eN= 30 mm rad • momentum: sDp/p= 0.05 • Physical acceptance: r = 25/30 cm • Compact Ring Optics – Linear lattice • Axially symmetric focusing - Solenoids (4-10 Tesla) • Dipole bends (1.2 Tesla) VLENF phone Mtg. July 12, 2011

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