Muons for cooling demonstrator - ISIS C. T. Rogers Rutherford Appleton Laboratory - CERN Indico
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Questions What do we want to test? What is the requirement on beam? What is the plan looking forwards? 2
What should the facility demonstrate? Performance does not match simulation, for example because Further experimental measurements of energy energy straggling is underestimated, alignments can’t be achieved, Literature review on straggling; simulation study straggling may be necessary. Integration test of Rectilinear B etc 3 Reduced performance 2 of impact on uncertainty in straggling distribution cooling apparatus. Proof of breakdown suppression with a “production” cavity and a reasonable production RF voltage cannot be achieved, for example because gradients are run of several cavities, including realistic found to be above break down limit 3 Back off on RF requirements 2 magnetic fields Design of magnets is required including e.g. Prototyping of magnets. Demonstration of QPS Magnetic field strength cannot be achieved 3 Back off on magnet requirements 3 force calculations, support design system in a reasonable magnet line. Radiation load on the magnets is too high due to regular beam Back off on magnet requirements losses and muon decay 2 and add extra shielding 1 Heat load on the absorber is challenging to manage 1 Split the beam? 3 Further simulation and design work Beam loading of RF cavities Space charge Further optimisation of the cooling channel Further experimental measurements of energy design. Alternative concepts such as frictional straggling may be necessary. Integration test of Final Cooling Performance does not match requirements 4 Reduced performance 3 cooling should be considered cooling apparatus. Proof of breakdown suppression with a “production” cavity and a reasonable production RF voltage cannot be achieved, for example because gradients are run of several cavities, including realistic found to be above break down limit 3 Back off on RF requirements 2 magnetic fields Design of magnets is required including e.g. Prototyping of magnets. Demonstration of QPS Magnetic field strength cannot be achieved 3 Back off on magnet requirements 3 force calculations, support design system in a reasonable magnet line. Radiation load on the magnets is too high due to regular beam Back off on magnet requirements Calculations; radiation shielding for high field losses and muon decay 3 and add extra shielding 3 magnets Heat load on the absorber is challenging to manage 1 Split the beam? 3 Further simulation and design work Beam loading of RF cavities Space charge 4
What should the facility demonstrate? Basics 6D cooling Reacceleration Cooling at low emittance (longitudinal and transverse) Technical risks Engineering integration Energy straggling RF cavity performance in field Magnetic field Intensity effects Conventional issues: diagnostics, alignment, commissioning, routine operation Softer stuff Convincing amount of cooling – Factor 2? Chain several cooling cells together Chain several lattices together and match between them Handling of high power pion/muon beams 5
Final cooling or rectilinear? Rectilinear cooling 6D cooling Reasonably well optimised Final cooling Transverse only cooling Probably quite some room for optimisation Prefer rectilinear cooling... 6
How much cooling channel? ● Factor 2 Requires >~ 100 m ● Almost ~ 50 % packing ratio of high voltage RF ● O(1 GV) 500 m 500 m 7
Rectilinear B8 40 m |V(x, px, y, py)|1/2 mμ 20 % Rogers Simulation Rogers Simulation |V(ct, E)|1/2 ABC mμ Rogers Simulation Stratakis et al PRAB 18 (2015) T(B8) = 89 % 0.3 50 % 0.2 8
Rectilinear B8 Rogers Simulation ABC 9
Rectilinear B8 Rogers Simulation ABC 10
NuMI beam Paley et al, Measurement of charged pion production yields off the NuMI target, PRD vol 90, 2014 120 GeV p.o.t. 120 GeV p.o.t. pt Assume (Vaguely worded in nuSTORM feasibility study): SPS provides O(1e13) p.o.t. in 450 ns pulse comprising 4 bunches? 11
Expected muon yield Invoke magic collimator fairies For rectilinear cooling B8: σ(t) = 0.1 nst) = 0.1 ns σ(t) = 0.1 nsp) = 0.010 GeV/c) = 0.010 GeV/c σ(t) = 0.1 nsp) = 0.010 GeV/cx)/)/σ(t) = 0.1 nsp) = 0.010 GeV/cy) = 0.010 MeV/c) = 0.010 MeV/c σ(t) = 0.1 nsx)/)/σ(t) = 0.1 nsy) = 0.010 MeV/c) = 3 mm Selection: factor 0.01 p) = 0.010 GeV/cz selection factor 0.1? p) = 0.010 GeV/ct selection factor 0.01? p) = 0.010 GeV/cosition selection Per single RF bucket: 0.1 ns/450 ns = factor 0.0002 time selection Adding up) = 0.010 GeV/c all RF buckets in the p) = 0.010 GeV/culse 0.1 ns*650 MHz = factor 0.065 time selection Yields 2e4 muons per RF bucket 5e6 muons in all RF buckets in a pulse Will lower energy) = 0.010 MeV/c p) = 0.010 GeV/crotons help) = 0.010 GeV/c? The number of p) = 0.010 GeV/c.o.t. is p) = 0.010 GeV/crobably) = 0.010 MeV/c the same Yield p) = 0.010 GeV/cer p) = 0.010 GeV/croton I believe imp) = 0.010 GeV/croves with energy) = 0.010 MeV/c Looks like it is possible to shorten the SPS bunch length to ~ few ns 1e6 muons per RF bucket 1e7 muons per RF pulse 12
The Way Forwards At community meeting: Baseline: Rectilinear B8 Cell - it is hardest 6D Backup: Early rectilinear or HfoFo cell – may want an easy “early cooling” variant to de-risk cooling demo Ring, if the others look too expensive or non-performant PIC, if satisfactory performance can be shown HCC, if performance shown to be better than rectilinear “Final cooling” cell – following optimisation, if we find significant issues that need to be explored with beam By September (for LDG): Costing per cell @ factor 2 level Firm up the risk table; make the case Resource requirements (staff + capital) Establish baseline muon source … if we ask for effort in September, when does it really arrive? 13
Feasibility study By December 2023 – feasibility study and lattice complete Beam physicists Lattice optimisation Get a better handle on the risks Establish single baseline plan (can be multiple cell types) Magnet How short can we make the cell? How high field? Feed into lattice optimisation RF Outline engineering for RF systems Muon source Target design Collimation system and matching Proton source, for intensity studies? Feasibility study for diagnostics Any prototyping required? Early consideration of safety, civil engineering and services 14
CDR December 2025 – CDR complete Magnet RF Target design Collimation system and matching Diagnostics Services (vacuum, electrical) Safety Civil For all items Engineering design Do we need prototype(s)? If so, when? Costing @ 30 % level 15
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