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Thoughts on Beam Spectrometer Alignment. Cooling channel alignment study (MICE notes 64 & 77) Solenoidal channels fairly forgiving Tolerance of FCs and CCs seems not to be too tight a few (3) mm a few (6) milliradians Specifying Focus Coils to 1mm and 1mr
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Thoughts on Beam Spectrometer Alignment • Cooling channel alignment study (MICE notes 64 & 77) • Solenoidal channels fairly forgiving • Tolerance of FCs and CCs seems not to be too tight • a few (3) mm • a few (6) milliradians • Specifying Focus Coils to 1mm and 1mr • These are random displacements and tilts wrt the nominal beam axis • The beam spectrometer alignment may be different • Spectrometer defines and steers beam into the cooling section • Spectrometer has a large integral B.dl ~ 6Tm (4T x ~1.5m)
Back of small envelope estimate Beam axis Displacement d Beam enters with offset d Fringe field gives pt kick Dpt = q v B d / 2 = 150 MeV/c dBz (centre) For 1 mm offset Dpt ~ 150 x 0.001 x 4 = 0.6 MeV/c at centre (max field ) cf 10 – 15 MeV/c rms (depending on emittance) d = 1mm not obviously very bad. Chris Rogers has studied this.
Beam axis x Rotation q around y z Tilts may be more pernicious than offsets Tilt (= pitch or yaw) gives a small component of field perpendicular to axis, Bx = Bzq This is a dipole component seen by all muons in beam (how ring coolers work) Assume beam enters // to nominal beam axis At end of spectrometer py = q v Bxl = 300 MeV/c Bxl = 300 MeV/c Bzl q For 1 mr tilt py ~ 300 x 4T x 1.5m x 0.001 = 1.8 MeV/c (assuming l~ 1.5 metres) At exit of spectrometer 200MeV/c beam has been rotated (bent) by ~ 1.8/200 = 9 mrad. and offset transversely (i.e. in y) by Dy ~ lq / 2 ~ 9 x 1.5 / 2 ~ 7 mm 9 mr and 7mm are larger than FC and CC alignment tolerances wrt beam (6mr, 3mm) (and aiming for 1mr, 1mm) Any tilts of spectrometer solenoid must be << 1mr
For a small tilt, bend angle where integral taken along z (beam) axis A reality check Last column is m0 NI in T-m (used 6 T-m on previous page) Expect greater sensitivity to spectrometer tilts than CC or FC tilts by factor 3 or 4
Apparent (BOSE) requirement that spectrometer & beam are aligned by << 1mr looks tough • Implies sub-millimetre reproducibility / precision at each end • Some horizontal motion of beam with bends to correct may be possible? • Vertical motion would need correctors • Can my guesses be confirmed with ICOOL or G4MICE? • Could anyone do this? • Would require 3D field map • Comments, please