Multiturn proton injection into MIRR

1
Multi-turn proton injection into MI/RR

• Multi-turn proton injection must be a Liouvillian
  process such that
• ering gt DNturnselinac
• The term D is a dilution factor which is
  typically gt 1.5, but can be greater.
• The specified final emittance for either the MI
  or Recycler injection is 25p-mm-mr.
• Implies maximum of 16 turns (for D1.5)
• The revolution period for MI/RR is 11 ms.
• Implies linac pulse length of 176 ms
• The design proton intensity for PD/Project X is
  1.5E14 protons/MI cycle .
• In PD era this was accomplished in a single linac
  cycle.
• The Project X concept utilized the RR to
  accumulate 3 linac cycles (due to a lower linac
  current, i.e. 9 mA vs 27 mA).
• Accumulation from proton linac only on a single
  linac cycle
• Assuming adiabatic RF capture (populate all linac
  bunches), the required average linac current is
  about 140 mA (neglecting ring abort gap) and
  greater for injecting into RF buckets.
• This is about factor 3 higher current than
  available from current linacs capable of
  producing small emittance.

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Compare Proton vs H- Injection