Large Ion Booster Re-design Update Alex Bogacz August 7, 2014

Large Ion Booster - gt Ekin = 3 – 20 GeV g = 4.12 – 22.32 gt = 24 total ring circumference: ≈1420 m 60 deg. crossing Ekin = 3 – 20 GeV g = 4.12 – 22.32 gt = 24 August 7, 2014

Large Ion Booster - Footprint 2400 Arc: 13.20 + 213.60 + 13.20 13.20 213.60 Electron Ring Arc bend: 213.60 Cell length: 18.85 m Number of cells: 18 Spin rotators: 2x13.20 Ion Booster Ring Arc bend: 213.60 Cell length: 12.12 m Number of inner cells: 28 = 7x4 Number of outer cells: 2x4 bend/inner cell: 7.630 bend/outer cell: 3.30 August 7, 2014

Periodic 900-FODO Cell E = 20 GeV phase adv/cell: Dfx,y= 900 12.12 30 2 -2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y 12.12 90 PHASE_X&Y [deg] Q_X Q_Y phase adv/cell: Dfx,y= 900 Drifts : 4x130 cm Arc Dipole: Lb = 300 cm B = 1.55 Tesla bend ang. = 3.814 deg. Arc Quadrupoles: Lq = 45 cm GF = 37.1 Tesla/m GD = -36.9 Tesla/m August 7, 2014

Perturbed 900-FODO 4 x FODO DGF = 0.2 x GF M56 = 14.5 cm ⇨ gt = 24.0 Dfx,y = 1800 48.4759 60 2.2 -2.2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y M56 = 39.6 cm ⇨ gt = 14.5 4 x FODO (4 x 900 = 3600) DGF = 0.2 x GF 48.4759 60 2.2 -2.2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y M56 = 21.6 cm ⇨ gt = 19.6 August 7, 2014

Perturbed 900-FODO 4 x FODO DGF = 0.36 x GF M56 = 14.5 cm ⇨ gt = 24.0 Dfx,y = 1800 48.4759 60 2.2 -2.2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y M56 = 39.6 cm ⇨ gt = 14.5 4 x FODO (4 x 900 = 3600) DGF = 0.36 x GF 48.4759 60 2.2 -2.2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y M56 = 14.4 cm ⇨ gt = 24.2 August 7, 2014

Super-Cell Based on 900-FODO 48.4759 60 2 -2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y Tunes: Qx ≈1.3, Qy ≈ 0.6 DQx ≈ 0.5 DQy ≈ 0.5 QF0 QD1 QF1 QD0 Chromaticity: xx = -2.24 xy = -1.45 Super-Cell Quads: Lq = 45 cm GF0 = 38.9 T/m GD0 = -33.4 T/m GF1 = 53.7T/m GD1 = -28.7 T/m 900- FODO Quads: Lq = 45 cm GF = 37.1 T/m GD = -36.9 T/m Lq = 60 cm GF1 = 40.2 T/m Lq = 30 cm GF1 = 40.2 T/m 2 x August 7, 2014

‘Dressed’ Super-Cell August 7, 2014 QD0 Sext2 QF1 Sext1 QD1 QF0 QD1 60 2 BETA_X&Y[m] DISP_X&Y[m] -2 BETA_X BETA_Y DISP_X DISP_Y 48.4759 QD0 Sext2 QF1 Sext1 QD1 QF0 QD1 QF1 Sext1 QD0 Sext2 QF0 August 7, 2014

Super-Cell Beam Envelope at 10s QF0 QD1 QF1 QD0 48.47593 2.5 Size_X[cm] Size_Y[cm] Ax_bet Ay_bet Ax_disp Ay_disp E = 3 GeV x,y = 49 m g = 4.1 eN_rms = 4 mm mrad sx,y = 2 mm bore radius: 25 mm Quad grad: 40 T/m Pole tip field: 1 T August 7, 2014

‘Inner/Outer’ Super-Cells Inner Super-Cell (dipole bend ang. = 3.8140) Outer Super-Cell (dipole bend ang. = 1.650) 48.4759 60 2 -2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X 48.4723 60 2 -2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X short bends: 150 cm August 7, 2014

Inner Arc: 7 x Inner S-Cell 2400 Arc Optics 60 BETA_X&Y[m] Outer S-Cell 13.20 2 -2 DISP_X&Y[m] Outer S-Cell 13.20 BETA_X BETA_Y DISP_X Inner Arc: 7 x Inner S-Cell 213.60 August 7, 2014

Arc-to-Straight FODO Arc Straight Quads: Lq = 40 cm GF = 20.6 T/m 518 240 60 2 -2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y Arc Straight 24.2392 60 5 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y Quads: Lq = 40 cm GF = 20.6 T/m GD = - 20.6 T/m August 7, 2014

Summary – Magnet count Segment Magnet Number Length [cm] Strength Arcs bend1 112 300 1.5 Tesla bend2 32 0.7 Tesla quad1 106 45 20-40 T/m quad2 72 30 42 T/m sextupole 15 Straights quad 48 26-43 T/m August 7, 2014