ESSnuSB WP3 - Accumulator Parameter List
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ESSnuSB accumulator ring parameter list
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Last updated by Maja Olvegård, 2019-09-13
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ParameterUnitValueComment
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Beam parameters, incoming
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Kinetic energyGeV2.5
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MomentumGeV/c3.308
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Relativistic Lorentz factor-3.664
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Relativistic speedc0.962
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Magnetic rigidityTm11.03
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Transverse emittance, rms normalizedπ mm mrad0.35
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Energy spread
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Average macro-pulse current (protons for neutrons)mA50No injection or extraction gaps in this pulse.
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Macro-pulse duration (protons for neutrons)µs2860Maximum possible macro-pulse duration is ~2900 µs
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Bunch frequencyMHz352.2RF frequency in linac is 352.2 MHz (up to spoke section) and 704.4 MHz (elliptical section).
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Number of particles per macropulse#8.93E+14
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Number of batches#4Each linac macro-pulse is split into 4 batches. Each batch is accumulated separately.
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Number of particles per batch#2.23E+14This is the batch intensity for all pulsing schemes.
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Chopping factor
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Accumulator ring
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Circumferencem384more precise: 384.0134 m
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Arc lengthm40
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Length of straight sectionsm56
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Revolution timeµs1.331
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Extraction gap duration, at the time of injectionµs0.133
Gap for ramping the extraction kickers, generated in the linac. Duration corresponds to 10% of revolution time.
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Pulsing scheme A, BASELINE
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Linac pulsing frequencyHz28
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Batch frequencyHz1351.35
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Micro-bunch frequencyMHz352.20
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Micro-bunch intensity#1.10E+9
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Injection gap durationµs100This is the gap between the batches/fills.
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Batch durationµs640
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H- beam current in linacmA62.07Nominal linac current increased to compensate for 10% injection gaps and ~10% extraction gap.
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Number of injected turns#481
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Number of particles per injected turn#4.64E+11
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Beam current at extractionA29.83
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Pulsing scheme B
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Linac pulsing frequencyHz70
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Batch frequencyHz70
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Micro-bunch frequencyMHz352.2
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Micro-bunch intensity#8.86E+8
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Batch durationµs794.410% for extraction gap added to pulse duration
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H- "compensated" beam current, linacmA50
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Number of injected turns#597
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Number of particles per injected turn#3.74E+11
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Beam current at extractionA29.83
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Pulsing scheme C
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Linac pulsing frequencyHz70
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Batch frequencyHz70
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Micro-bunch frequencyMHz352.2
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Micro-bunch intensity#7.04E+8
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Batch durationµs1000.01331 µs corresponds to a 1000 injected turns
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H- "compensated" beam current, linacmA39.72ca 30 mA for a 1000 injected turns
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Number of injected turns#7511000 injected turns for a batch duration of 1331 µs
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Number of particles per injected turn#2.97E+11
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Beam current at extractionA29.83
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Accumulator lattice and optical parameters
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General
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Transition gamma-5.825
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Chromaticity, horizontal--11.2
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Chromaticity, vertical--12.4
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Range of chromaticity correction, horizontal-
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Range of chromaticity correction, vertical-
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Tune, horizontal-8.2-8.3
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Tune, vertical-8.3-8.4
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Tune, longitudinal-
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Momentum compaction factor, alpha-0.02947
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Phase slip factor, eta--0.0450
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Acceptance of primary collimatorπ mm mrad120Preliminary
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Acceptance of secondary collimatorπ mm mrad
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Ring acceptanceπ mm mrad400Preliminary
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Dipole aperture
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Bunching factor>0.9
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Space charge tune shift-0.028Gaussian beam
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Arc lattice
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Number of FODO cells per arc#4
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phase advance per FODO cell, horizontalπ0.25
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phase advance per FODO cell, verticalπ0.267
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Bending radius of arc dipolem8.48
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Magnetic field strength in arc dipoleT1.301
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Number of dipoles per arc#8
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Number of quadrupoles per arc#8
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Number of sextupoles per arc#5Work in progress!
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Twiss, ring
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Maximum horizontal betam28.7
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Minimum horizontal betam2.85
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Average horizontal beta, <βx>m10.8
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Maximum vertical betam35.1
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