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Fermi National Accelerator Laboratory Accelerator Physics Center PARTI Summer Internship Program. Simulation of the 8 GeV beam extraction from the Recycler Ring using bent crystal and application of crystals for X-Ray accelerator. ALEXEI SYTOV Belarusian State University,
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Fermi National Accelerator Laboratory Accelerator Physics Center PARTI Summer Internship Program Simulation of the 8 GeV beam extraction from the Recycler Ring using bent crystal and application of crystals for X-Ray accelerator ALEXEI SYTOV Belarusian State University, Research Institute for Nuclear Problems Supervisor in Belarus VICTOR TIKHOMIROV Supervisors: NIKOLAI MOKHOV, YOUNG-MIN SHIN
Different effects in crystal Straight crystal Bent crystal
Beam extraction from the Recycler Ring* *V. Shiltsev, FNAL, No. DE-AC02-07CH11359; A.I. Drozhdin, FNAL, No. DE-AC02-07CH11359. Crystal and beam parameters: Extraction efficiency is defined like the ratio between the number of particles successfully passed the septum-magnet and get to the beam Dump and all the particles. Pc = 8.88889GeV Crystal length = 1mm R = 2m Bending angle = -0.5mrad Crystal thickness = 1mm Crystal transverse coordinate Xcr = -12.7383mm Crystal ideal alignment θcr = 0.86mrad
Impact parameter distributions With scattering in crystal Without scattering in crystal Only STRUCT* Only STRUCT* STRUCT+ my code STRUCT+ my code 1/N dN/dX, mm-1 1/N dN/dX, mm-1 At septum- magnet entrance X, mm X, mm Only STRUCT* Only STRUCT* STRUCT+ my code STRUCT+ my code 1/N dN/dX, mm-1 1/N dN/dX, mm-1 At beam Dump X, mm X, mm *A.I. Drozhdin, FNAL, No. DE-AC02-07CH11359.
Phase space At septum-magnet entrance At beam Dump θx, mrad θx, mrad STRUCT+my code θx, mrad θx, mrad Only STRUCT* θx, mrad θx, mrad Both pictures X, mm X, mm *A.I. Drozhdin, FNAL, No. DE-AC02-07CH11359.
Particle loss vs crystal alignment Channeling critical angle ~ 71μrad R.m.s. angle of scattering at crystal (like amorphous target) > 160μrad Volume reflection angle ~ 142μrad count Monte Carlo error~5% Channeling Volume reflection Crystal with cut θcr, mrad
A technique to improve crystal channelingefficiency of charged particles till 99%* Crystal z Beam cut z1 z2 z3 0 zc Crystals with cut (different cut parameters) Crystal with cut (best cut parameters) channeling efficiency Crystal without cut Crystal without cut θr.m.s., μrad θr.m.s., μrad *V.V.Tikhomirov. JINST, 2 P08006, 2007.
X-Ray accelerator* Particle motion in the channeling regime Need 40keV high peak power X-Rays (provided by FELs for ex. LCLS in SLAC) Gradients>10GeV/cm Muons preferred (μ+ rad. length 109 cm) *Tajima, Cavenago, Phys. Rev. Lett. 59 (1987) z-component of electric field y-component of magnetic field Ez, V/cm Hy, V/cm x, cm x, cm z, cm z, cm
First shot of muon acceleration Energy vs longitudinal coordinate Energy vs longitudinal coordinate E, GeV E, GeV z, cm z, cm Final energy distribution Particle trajectories x, Å 1/N dN/dE, GeV-1 z, cm E, GeV
My mission at Fermilab • To adapt my simulation code for 8 GeV protons motion incrystal and to combine it with STRUCT. • To simulate the experiment of beam extraction from the Recycler Ring. • To modify my code of particle motion in crystal for simulation of X-Ray accelerator. • To simulate the X-Ray accelerator with application of specific electric fields configuration in crystal provided by X-Rays. In perspective: To understand and simulate the electric fields configuration in crystals depending on different parameters. To consider the possibility of application nanotubes for the channeling regime for both beam extraction and X-Ray accelerator cases. Try to apply the idea of the cut increasing the channeling efficiency till 99,9% proposed by my supervisor in Belarus V. Tikhomirov. New: To apply the idea of radiation cooling for accelerating muon beam in crystal.
Impact parameter and angle distributions Initial angle distribution Impact parameter distribution 1/N dN/dX, mm-1 1/N dN/dθx, mrad-1 θx, mrad X, mm 1st crystal entrance 1st crystal entrance 1/N dN/dX, mm-1 1/N dN/dθx, mrad-1 2nd crystal entrance 2nd crystal entrance θx, mrad X, mm
Multiple Volume Reflection (MVR)* Axes form many inclined reflecting planes <111> Θx Θy Z *V. Tikhomirov, PLB 655 (2007) 217; V. Guidi, A. Mazzolari and V. Tikhomirov, JAP 107 (2010) 114908 Y X
First MVROC observation W. Scandale et al, PLB 682(2009)274 MVR of negative pions MVROC indeed increases reflection angle 5 times