PS2 PS2 PS+ PS+ SPS SPS SPS SPS+a SPS+b SPS+
injection extraction injection extraction inj. 50 GeV inj. 75 GeV extraction inj. 50 GeV inj. 75 GeV extraction
energy [GeV] 4 50 4 75 50 75 450 50 75 1000
average beta [m] 15 15 15 15 45 45 45 45 45 45
radius [m] 200 200 200 200 1100 1100 1100 1100 1100 1100
dipole occupancy 0.466 0.466 0.466 0.466 0.678 0.678 0.678 0.678 0.678 0.678
magnetic dipole field [T] 0.144 1.800 0.144 2.700 0.225 0.337 2.025 0.225 0.337 4.500
circumference [m] 1256 1256 1256 1256 6908 6908 6908 6908 6908 6908
integer betatron tune 13 13 13 13 26 26 26 26 26 26
average dispersion [m] 1.3 1.3 1.3 1.3 2 2 2 2 2 2
normalized rms emittance [micron] 2.5 3 2.5 3 3 3 3 3 3 3.5
bunch charge 1 ? 2.0E+11 ? 2.0E+11 1.9E+11 1.9E+11 1.9E+11 1.9E+11 1.9E+11 1.8E+11
bunch charge 2 ? 4.0E+11 ? 4.0E+11 3.8E+11 3.8E+11 3.8E+11 3.8E+11 3.8E+11 3.6E+11
bunch charge 3 ? 6.6E+11 ? 6.6E+11 6.4E+11 6.4E+11 6.4E+11 6.4E+11 6.4E+11 6.2E+11
bunch charge 4 ? 5.4E+11 ? 5.4E+11 5.2E+11 5.2E+11 5.2E+11 5.2E+11 5.2E+11 5.1E+11
bunch length 1 [m] ? 0.5725 ? 0.505 0.143125 0.12625 0.12 0.143125 0.12625 0.12
bunch length 2 [m] ? 0.935 ? 0.835 0.23375 0.20875 0.12 0.23375 0.20875 0.12
bunch length 3 [m] ? 1.0425 ? 0.925 0.260625 0.23125 0.15 0.260625 0.23125 0.15
bunch length 4 [m] ? 1.0425 ? 0.925 0.260625 0.23125 0.15 0.260625 0.23125 0.15
rms momentum spread 1 ? 0.00029 ? 0.00022 0.00133 0.00101 0.00035 0.00133 0.00101 0.00016
rms momentum spread 2 0.00026 0.00019 0.00112 0.00084 0.00044 0.00112 0.00084 0.00020
rms momentum spread 3 ? 0.00027 ? 0.00021 0.00128 0.00096 0.00042 0.00128 0.00096 0.00019
rms momentum spread 4 ? 0.00025 ? 0.00019 0.00114 0.00085 0.00039 0.00114 0.00085 0.00018
bucket height - 1 0.00073 0.00060 0.00562 0.00481 0.00177 0.00562 0.00481 0.00080
bucket height - 2 0.00073 0.00060 0.00239 0.00198 0.00178 0.00239 0.00198 0.00080
bucket height - 3 0.00073 0.00060 0.00247 0.00207 0.00137 0.00247 0.00207 0.00062
bucket height - 4 0.00073 0.00060 0.00219 0.00183 0.00126 0.00219 0.00183 0.00057
bucket height / sigma dp -1 2.50885 2.72046 4.21334 4.76633 5.00977 4.21233 4.76519 5.00977
bucket height / sigma dp -2 2.86819 3.14798 2.12756 2.36290 4.02307 2.12756 2.36290 4.02307
bucket height / sigma dp -3 2.66497 2.90607 1.92712 2.14870 3.23766 1.92712 2.14870 3.23766
bucket height / sigma dp -4 2.90723 3.17025 1.92712 2.14870 3.23766 1.92712 2.14870 3.23766
chamber half width [m] 0.08 0.08 0.08 0.08 0.07 0.07 0.07 0.06 0.06 0.06
chamber half height [m] 0.04 0.04 0.04 0.04 0.022 0.022 0.022 0.02 0.02 0.02
bunch spacing 1 [ns] ? 12.5 ? 12.5 12.5 12.5 12.5 12.5 12.5 12.5
bunch spacing 2 [ns] ? 25 ? 25 25 25 25 25 25 25
bunch spacing 3 [ns] ? 75 ? 75 75 75 75 75 75 75
bunch spacing 4 [ns] ? 50 ? 50 50 50 50 50 50 50
gamma transition I6 or 6  I6 or 6  I6 or 6  I6 or 6  23.23 23.23 23.23 23.23 23.23 23.23
momentum compaction -0.028 -0.028 -0.028 -0.028 0.00185 0.00185 0.00185 0.00185 0.00185 0.00185
rf voltage 1 [MV] ? 0.40 ? 0.40 13.72 17.01 15.12 13.72 17.01 6.81
rf voltage 2 [MV] 0.20 0.20 3.10 3.62 19.04 3.10 3.62 8.58
rf voltage 3 [MV] ? 0.20 ? 0.20 3.32 3.95 11.36 3.32 3.95 5.12
rf voltage 4 [MV] 0.20 0.20 2.60 3.10 9.55 2.60 3.10 4.31
rf frequency 1 [MHz] ? 80 ? 80 160 160 160 160 160 160
rf frequency 2 [MHz] 40 40 200 200 200 200 200 200
rf frequency 3 [MHz] ? 40 ? 40 200 200 200 200 200 200
rf frequency 4 [MHz] 40 40 200 200 200 200 200 200
synchrotron tune 1 0.003 0.003 0.015 0.015 0.006 0.015 0.015 0.003
synchrotron tune 2 0.002 0.001 0.008 0.008 0.008 0.008 0.008 0.003
synchrotron tune 3 0.002 0.001 0.008 0.008 0.006 0.008 0.008 0.003
synchrotron tune 4 0.002 0.001 0.007 0.007 0.005 0.007 0.007 0.002
longit. emittance (4 pi x rms) [eVs] 1 0.350 0.350 0.400 0.400 0.800 0.400 0.400 0.800
longit. emittance (4 pi x rms) [eVs] 2 0.500 0.500 0.550 0.550 1.000 0.550 0.550 1.000
longit. emittance (4 pi x rms) [eVs] 3 0.600 0.600 0.700 0.700 1.200 0.700 0.700 1.200
longit. emittance (4 pi x rms) [eVs] 4 0.550 0.550 0.620 0.620 1.100 0.620 0.620 1.100
rms x beam size [mm] 1 0.0010 0.0008 0.0031 0.0024 0.0009 0.0031 0.0024 0.0005
rms x beam size [mm] 2 0.0010 0.0008 0.0028 0.0021 0.0010 0.0028 0.0021 0.0006
rms x beam size [mm] 3 0.0010 0.0008 0.0030 0.0023 0.0010 0.0030 0.0023 0.0005
rms x beam size [mm] 4 0.0010 0.0008 0.0028 0.0021 0.0009 0.0028 0.0021 0.0005
rms y beam size [mm]  0.0009 0.0008 0.0016 0.0013 0.0005 0.0016 0.0013 0.0004
comments:
PS splitting is done at high energy, determines modulus of momentum compaction
space for extraction, injection is needed (more difficult for PS+)
bunch length values about OK
SPS(+) may have 400MHz rf system
RF parameters for PS2/PS2+ just before begin of the non-adiabatic part of the bunch shortening from Michael Benedikt and Steven Hancock
50 GEV Extraction Energy 75 GEV Extraction Energy
12,5 ns 25 ns 75 ns 12,5 ns 25 ns 75 ns
RF System 80 40 40 80 40 40
RF Voltage [MV] 0.4 0.2 0.2 0.4 0.2 0.2
RF Harmonics 336 168 168 336 168 168
Full longitudinal emittance [eVs] 0.35 0.5 0.6 0.35 0.5 0.6
Full bunch length [m] 2.29 3.74 4.17 2.02 3.34 3.7
Full bunch duration [ns] 7.6 12.5 13.9 6.7 11.1 12.3
Full momentum spread [10-3] 1.22 1.04 1.14 0.9 0.78 0.8
Bucket filling (eVs/acceptance) 0.59 0.42 0.51 0.48 0.35 0.41