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Beam dynamics calculations with MADX for SIS100 including “frozen BB” Sp-Ch

kapin@itep.ru. Beam dynamics calculations with MADX for SIS100 including “frozen BB” Sp-Ch. Valery KAPIN ITEP , Moscow. GSI, 24-Mar - 2009. Two subjects for 6-week visit. “DA with Octupoles (for Landau damping) in SIS100” => report

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Beam dynamics calculations with MADX for SIS100 including “frozen BB” Sp-Ch

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  1. kapin@itep.ru Beam dynamics calculations with MADX for SIS100including “frozen BB” Sp-Ch Valery KAPIN ITEP , Moscow GSI, 24-Mar - 2009

  2. Two subjects for 6-week visit “DA with Octupoles (for Landau damping) in SIS100” => report “Benchmarking of sp.-charge induced loss in SIS100 ring” => PAC’09 paper

  3. Benchmarking SIS18 steps 1-5 for 2D • 1) Benchmarking of the Phase Space

  4. 2) Benchmarking of the Tunes versus particle amplitude. Sextupole OFF.

  5. 3) Benchmarking of the Tunes versus particle amplitude, with sextupole ON.

  6. 4) Benchmarking of the Tunes versus particle amplitude, with sextupole ON

  7. 5) Benchmarking of phase space with space charge and sextupole on at Qx = 4.3504

  8. DA of SIS100 study following GF-report • Systematic and random errors in D & Q • RMS closed orbit – 1.5/1.0 mm • + Octupoles for Landau damping

  9. Octupoles OFF => GF-report

  10. Octupoles OFF => GF-report 1002 DAave=3.0 DAmin=2.9 1002 + SpCh DAave=2.9 DAmin=2.5

  11. Octupoles OFF => GF-report

  12. Octupoles OFF => Sp-Ch Seed 2067: Ex=5.812e-5, Ey=4.969e-5, DAave=2.6 DAmin=2.4 W/O Sp-Ch 2.9/2.7

  13. DA – Octupoles ON X-Y injection: +100 vs +50 X-Y injection: -100 vs -50

  14. DA – Octupoles ON X-Y injection: +100 vs +50 X-Y injection: -100 vs -50 Sp-Ch -> small effect (Octupoles too strong ?!)

  15. DA – Octupoles ON

  16. Present Status for beam loss Lattices with 840 BBs for Sp-charge are prepared Laslett’s tunes = numerical tines with TWISS !!! Example: "BEAM2" for JF (nu_x=-0.090, nu_y=-0.145) N_particles=4.3e12; delta_nu_min=0.25; N_iter=5; TWISS-OK formula (-0.09054502765;-0.1435832589) =>(18.749;18.586) twiss_sc_matrix_n.txt(18.750;18.586) twiss_bb_spch_0.txt (18.751;18.588) twiss_bb_spch_makethin.txt(18.751;18.588) • GF-report: formula vs code • Beam1: -0.26 / -0.40 (-0.31 / -0.47) at 0.75x1011 particles per bunch • Beam2: - 0.18 / - 0.29 (-0.21 / -0.34) at 0.75x1011 particles per bunch

  17. CPU-time for beam loss • my PC => 0.01sec/part/turn: 10 particles with 10^4 =>968sec • 10^(-2)*10^3part*10^5turns=10^6sec => 1.6*10^4min => 277hs => 12 days CERN’s lxplus : 0.007sec/part/turn (30%): Figure 10 Beam loss with space charge for Beam2(2000 macroparticles) and 3x10^11 assumed total intensity.

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