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Luminosity and PU conditions during the intensity ramp up in 2022

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Intensity Ramp Up 2022

We project the instantaneous luminosity (in units of cm-2s-1) and pile up to be expected during the intensity ramp up of the LHC in the following tables, with varying assumptions on β* and beam emittance (based on the LHC beam parameters archieved in early July 2022).

The numbers below assume a bunch intensity of 1.2 x 1011 ppb (protons per bunch).

The situation at the beginning of the fill (β* = 60 cm) would be the following:

β* = 60 cm
Emittance \ #bunches 3b 12b 75b 300b 600b 900b 1200b 1500b
ε=1.8 μm L =1.1 x 1031
PU = 40
L =4.5 x 1031
PU = 40
L =3.5 x 1032
PU = 40
L =1.8 x 1033
PU = 40
L =3.3 x 1033
PU = 40
L =5.5 x 1033
PU = 40
L =6.8 x 1033
PU = 40
L =8.6 x 1033
PU = 40
ε=2.1 μm L =1031
PU = 36
L =4 x 1031
PU = 36
L =3.1 x 1032
PU = 36
L =1.6 x 1033
PU = 36
L =3 x 1033
PU = 36
L =4.9 x 1033
PU = 36
L =6 x 1033
PU = 36
L =7.7 x 1033
PU = 36
ε=2.3 μm L =0.9 x 1031
PU = 33
L =3.7 x 1031
PU = 33
L =2.9 x 1032
PU = 33
L =1.5 x 1033
PU = 33
L =2.7 x 1033
PU = 33
L =4.6 x 1033
PU = 33
L =5.7 x 1033
PU = 33
L =7.2 x 1033
PU = 33

 

Assuming fast leveling to β* = 45 cm, one would get the following:

β* = 45 cm
Emittance \ #bunches 3b 12b 75b 300b 600b 900b 1200b 1500b
ε=1.8 μm L =1.4 x 1031
PU = 49
L =5.4 x 1031
PU = 49
L =4.2 x 1032
PU = 49
L =2.2 x 1033
PU = 49
L =4 x 1033
PU = 49
L =6.7 x 1033
PU = 49
L =8.3 x 1033
PU = 49
L =1 x 1034
PU = 49
ε=2.1 μm L =1.3 x 1031
PU = 44
L =4.9 x 1031
PU = 44
L =3.8 x 1032
PU = 44
L =2 x 1033
PU = 44
L =3.6 x 1033
PU = 44
L =6 x 1033
PU = 44
L =7.5 x 1033
PU = 44
L =9.5 x 1033
PU = 44
ε=2.3 μm L =1.1 x 1031
PU = 41
L =4.6 x 1031
PU = 41
L =3.6 x 1032
PU = 41
L =1.9 x 1033
PU = 41
L =3.4 x 1033
PU = 41
L =5.6 x 1033
PU = 41
L =7 x 1033
PU = 41
L =8.9 x 1033
PU = 41

 

Assuming fast leveling to β* = 30 cm, one would get the following:

β* = 30 cm
Emittance \ #bunches 3b 12b 75b 300b 600b 900b 1200b 1500b
ε=1.8 μm L =1.8 x 1031
PU = 63
L =7.1 x 1031
PU = 63
L =5.5 x 1032
PU = 63
L =2.9 x 1033
PU = 63
L =5.3 x 1033
PU = 63
L =8.7 x 1033
PU = 63
L =1.1 x 1034
PU = 63
L =1.4 x 1034
PU = 63
ε=2.1 μm L =1.6 x 1031
PU = 57
L =6.5 x 1031
PU = 57
L =5 x 1032
PU = 57
L =2.6 x 1033
PU = 57
L =4.8 x 1033
PU = 57
L =7.9 x 1033
PU = 57
L =9.8 x 1033
PU = 57
L =1.3 x 1034
PU = 57
ε=2.3 μm L =1.5 x 1031
PU = 54
L =6.1 x 1031
PU = 54
L =4.7 x 1032
PU = 54
L =2.5 x 1033
PU = 54
L =4.5 x 1033
PU = 54
L =7.4 x 1033
PU = 54
L =9.2 x 1033
PU = 54
L =1.2 x 1034
PU = 54

 

For a bunch intensity of 1.4 x 1011 ppb, the above numbers should be multiplied by a factor 1.36.

 


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