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Explore the simulation of 8 GeV beam extraction from the Recycler Ring using bent crystals and the application of crystals for X-Ray acceleration. Discover the effects of straight and bent crystals and crystal beam extraction techniques. Delve into crystal parameters and impact parameter distributions. Investigate crystal alignment, phase space at different points, and particle loss vs. crystal alignment. Learn about channeling efficiency and crystals with optimal cut parameters. Also, delve into X-Ray accelerator particle motion, electric field components, and muon acceleration concepts. Adapt simulation codes, experiment with crystals, and explore nanotubes for channeling efficiency. Consider radiation cooling for muon beam acceleration. Join the journey of understanding electric field configurations in crystals and enhancing particle acceleration efficiency.
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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