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Decay Ring Options

This workshop presentation discusses the decay ring options for the nuSTORM project, including compact arcs, FODO second-order achromats, triplets, and physical aperture considerations. Chromatic corrections and detuning from resonances are also addressed.

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Decay Ring Options

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  1. Decay Ring Options Alex Bogacz in collaboration with Ao Liu and David Neuffer nuSTORM Workshop, Virginia Tech, April 15, 2013

  2. Decay Ring with non parallel straights, ~1 deg. Capture/Decay Ring - 5/3.8 GeV p/m Muons recirculated at central momentum: p = 3.8 GeV/c Compact Arc 22m Arc 150 meter Straights Injection Arc 40 m Arc nuSTORM Workshop, Virginia Tech, April 15, 2013

  3. 10 1.5 BETA_X&Y[m] DISP_X&Y[m] -1.5 0 0 BETA_X BETA_Y DISP_X DISP_Y 21.95 ‘Compact’900 FODO Arc Second Order Achromat 22 meter 1800 Arc p = 3.8 GeV/c Dx = 85 cm 2 disp. sup cells 4 regular cells 2 disp. sup cells 4  2/3 4  2/3 Dipoles: 3.9 Tesla Quads: 25 Tesla/m Aperture: r = 20 cm 3  4/3 3  4/3 nuSTORM Workshop, Virginia Tech, April 15, 2013

  4. Second Order Achromat 900 FODO 90 deg. cell Db ~ sin (2 wb t) 2n cells nuSTORM Workshop, Virginia Tech, April 15, 2013

  5. 5 40 BETA_X&Y[m] DISP_X&Y[m] -5 0 0 BETA_X BETA_Y DISP_X DISP_Y 25 p Injection Optics Dx = 295 cm Dx = 128 cm 4 m 4 m matching FODO Straight Ao Liu nuSTORM Workshop, Virginia Tech, April 15, 2013

  6. 5 30 BETA_X&Y[m] DISP_X&Y[m] -5 0 0 BETA_X BETA_Y DISP_X DISP_Y 36.7595 Injection Arc – 900 FODO Optics Dx = 3 m 4 m 4 m FODO-like Arc Second Order Achromat Large Long. acceptance nuSTORM Workshop, Virginia Tech, April 15, 2013

  7. 5 30 BETA_X&Y[m] DISP_X&Y[m] -5 0 0 BETA_X BETA_Y DISP_X DISP_Y 40.46 Injection Arc – Triplet Optics Dx = 3 m 4 m 4 m Triplet Arc Stronger beta chromaticity Larger transverse acceptance Long/Tran acceptance trade-off nuSTORM Workshop, Virginia Tech, April 15, 2013

  8. 5 30 BETA_X&Y[m] DISP_X&Y[m] -5 0 0 BETA_X BETA_Y DISP_X DISP_Y 51 Injection Arc – DBA Optics Dx = 3 m 4 m 4 m DBA Arc Ao Liu nuSTORM Workshop, Virginia Tech, April 15, 2013

  9. 4 40 BETA_X&Y[m] DISP_X&Y[m] -4 0 49 BETA_X BETA_Y DISP_X DISP_Y 143 4 40 BETA_X&Y[m] DISP_X&Y[m] -4 0 49 BETA_X BETA_Y DISP_X DISP_Y 127.7 Ring Lattice Injection Arc 40 m Compact Arc 22 m nuSTORM Workshop, Virginia Tech, April 15, 2013

  10. 40 40 Size_Y[cm] Size_X[cm] 0 0 49 Ax_bet Ay_bet Ax_disp Ay_disp 143 40 40 Size_Y[cm] Size_X[cm] 0 0 49 Ax_bet Ay_bet Ax_disp Ay_disp 127.7 Physical Acceptance – Beam Envelopes Dp/p = 0.09 eN = 95 mm rad Injection Arc r = 30 r = 30 r = 20 40 m Compact Arc r = 30 r = 30 r = 20 22 m nuSTORM Workshop, Virginia Tech, April 15, 2013

  11. Resonance Detuning, Chromaticity Compensation Qx = 5.415 Qy = 5.631 xx = -4.39 xy = -4.08 DQ = xDp/p ≈ 0.05 x≈ 1 December 14, 2012

  12. 5 30 5 30 5 30 BETA_X&Y[m] DISP_X&Y[m] BETA_X&Y[m] DISP_X&Y[m] BETA_X&Y[m] DISP_X&Y[m] -5 0 -5 0 0 BETA_X BETA_Y DISP_X DISP_Y 36.76 -5 0 BETA_X BETA_Y DISP_X DISP_Y 40.46 0 0 BETA_X BETA_Y DISP_X DISP_Y 51 Chromaticity FODO-like Arc xx = -1.84 xy = -1.63 Triplet Arc xx = -2.31 xy = -2.37 DBA Arc xx = -3.75 xy = -3.76 nuSTORM Workshop, Virginia Tech, April 15, 2013

  13. one-turn-map - Chromaticity ‘Metric’ nuSTORM Workshop, Virginia Tech, April 15, 2013

  14. 5 30 5 30 5 30 BETA_X&Y[m] DISP_X&Y[m] BETA_X&Y[m] DISP_X&Y[m] BETA_X&Y[m] DISP_X&Y[m] -5 0 -5 0 0 BETA_X BETA_Y DISP_X DISP_Y 36.76 -5 0 BETA_X BETA_Y DISP_X DISP_Y 40.46 0 0 BETA_X BETA_Y DISP_X DISP_Y 51 Chromaticity ‘Metric’ FODO-like Arc xx = -1.84 xy = -1.63 Triplet Arc xx = -2.31 xy = -2.37 DBA Arc xx = -3.75 xy = -3.76 nuSTORM Workshop, Virginia Tech, April 15, 2013

  15. Summary • Arc Optics Choices • FODO Second Order Achromat • Triplet • Physical aperture: r = 20 cm (Arc) and r = 30 cm (Straight) • Momentum Acceptance • Chromatic Corrections Needed • Detuning from the resonances (up to 4-th order) • Corrections with sextupoles nuSTORM Workshop, Virginia Tech, April 15, 2013

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