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Recycler Lattice for ProjectX

Recycler Lattice for ProjectX. Meiqin Xiao 11/20/2008. Basic considerations. Based on the lattice for Nova RR30 straight section – FODO cell Keep using Extraction line from RR-MI Make room for placing stripping foils in RR10 straight section Nominal tunes set to (25.425, 24.415)

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Recycler Lattice for ProjectX

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  1. Recycler Lattice for ProjectX Meiqin Xiao 11/20/2008

  2. Basic considerations • Based on the lattice for Nova • RR30 straight section – FODO cell • Keep using Extraction line from RR-MI • Make room for placing stripping foils in RR10 straight section • Nominal tunes set to (25.425, 24.415) • using RR60 Phase trombone section to adjust tunes

  3. Nova lattice function: RR30 : 3 quads in a FODO cell Nominal tunes: (25.425,24.415)

  4. Keep RR30 un-change, replace RR10 for longer free space RR10 Constrains @center of RR10 βx=70m,βy=30m (Flat beam @ stripping foils) RR10 RR30 Tunes are: (25.869,24.319) Nominal tunes: (25.425,24.415)

  5. Constrain the βx ,βy< 55 m in RR30 , replace RR10 for longer free space RR10 RR30 Tunes are: (25.445,24.134) Nominal tunes: (25.425,24.415)

  6. RR60 straight section is used as a phase trombone for Recycler tune control • 32 permanent quads in two families, current strengths are • k1q60odd= 0.0562634 • K1q60even=-0.0568957 • 36 trim quads in 9 families, basic settings are 0. Q603 Q604 Q602 Q605 Q606 Q607 Q601 Q608 Q609

  7. First, try to vary the strengths of permanent quads with the constrains using MAD • Keep αx,y,βx,y at two ends of the phase trombone RR60 unchange • βx,βy<55m • Phase advance set to compensate the tune difference from the nominal tunes • We obtained(from MAD fitting): • Based on this settings, we found an solution for the trim quads • (by a Mathematica program, will need it operationally)  

  8. SS30 SS60 SS10

  9. Summary • Several considerations have been taken in modifying Recycler lattice for ProjectX • Recycler Lattice is manageable with some uncertainties on: a. beta functions at injection point • b. nominal tunes considering space charge tune shift. • Next step: Beam dynamics studies with space charge effects for looking for best nominal tunes

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