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Introduction to Accelerators Eric Torrence University of Oregon QuartNet 2005 Special Thanks to Bernd Surrow http://web.mit.edu/8.701/www/
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Contents Introduction - Terms and Concepts Types of Accelerators Acceleration Techniques Current Machines
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Rutherford’s Scattering (1909) Particle Beam Target Detector
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Results
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Sources of Particles Radioactive Decays Modest Rates Low Energy Cosmic Rays Low Rates High Energy Accelerators High Rates High Energy
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Why High Energy? Resolution defined by wavelength
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Energy Scales Particles are waves Smaller scales = HE 1 GeV (10 9 eV) =1 fm (10 -15 m) 1 MV 1 MeV electron
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Roads to Discovery High Energy High Luminosity Probe smaller scales Produce new particles Detect the presence of rare processes Precision measurements of fundamental parameters
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Cross-section Area of target Measured in barns = 10 -24 cm 2 Cross-section depends upon process Hard Sphere - 1 mbarn = 1 fm 2 - size of proton about 16 pb (others fb or less) technically infinite (E field)
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Luminosity Intensity or brightness of an accelerator Events Seen = Luminosity x cross-section In a storage ring Rare processes (fb) need lots of luminosity (fb -1 ) Current Spot size More particles through a smaller area means more collisions
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Accelerator Physics for Dummies Electric Fields Aligned with field Typically need very high fields Magnetic Fields Transverse to momentum Cannot change |p| Lorentz Force
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Types of Accelerators Linear Accelerator (one-pass) Storage Ring (multi-turn) electrons (e + e - ) protons (pp or pp) Fixed Target (one beam into target) Collider (two beams colliding)
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Circle or Line? Linear Accelerator Electrostatic RF linac Circular Accelerator Cyclotron Synchrotron Storage Ring
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Synchrotron Radiation Linear Acceleration Circular Acceleration 10 MV/m -> 4 10 -17 Watts Radius must grow quadratically with beam energy!
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LEP Accelerator (CERN 1990-2000) 27 km circumference 4 detectors e + e - collisions LEPI: 91 GeV 125 MeV/turn 120 Cu RF cavities LEPII: < 208 GeV ~3 GeV/turn 288 SC RF cavities
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Protons vs. Electrons Can win by accelerating protons But protons aren’t fundamental Only small fraction at highest energy Don’t know energy (or type) of colliding particles
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History of accelerator energies e + e - machines typically match hadron machines with x10 nominal energy
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Fixed Target SLAC End Station A 1968 50 GeV electons
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Colliding Beams DESY HERA 1990s
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Center of Mass Energy To produce a particle, you need enough energy to reach its rest mass. Usually, particles are produced in pairs from a neutral object. To produce requires 2x175 GeV = 350 GeV of CM Energy Head-on collisions: One electron at rest: Need 30,000,000 GeV electron...
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Secondary Beams Fixed-target still useful for secondary beams NuTeV Neutrino Production protons pions -> muons neutrinos
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Accelerator Types Static Accelerators Cockroft-Walton Van-de Graaff Linear Cyclotron Betatron Synchrotron Storage Ring
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Static E Field Particle Source Just like your TV set Fields limited by Corona effect to few MV -> few MeV electrons
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Cockroft-Walton - 1930s FNAL InjectorCascaded rectifier chain Good for ~ 4 MV
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Van-de Graaff - 1930s
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Van-de Graaff II First large Van-de Graaff Tank allows ~10 MV voltages Tandem allows x2 from terminal voltage 20-30 MeV protons about the limit Will accelerate almost anything (isotopes)
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Linear Accelerators Proposed by Ising (1925) First built by Wideröe (1928) Replace static fields by time-varying periodic fields
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Linear Accelerator Timing Fill copper cavity with RF power Phase of RF voltage (GHz) keeps bunches together Up to ~50 MV/meter possible SLAC Linac: 2 miles, 50 GeV electrons
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Cyclotron Proposed 1930 by Lawrence (Berkeley) Built in Livingston in 1931 Avoided size problem of linear accelerators, early ones ~ few MeV 4” 70 keV protons
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“Classic” Cyclotrons Chicago, Berkeley, and others had large Cyclotrons (e.g.: 60” at LBL) through the 1950s Protons, deuterons, He to ~20 MeV Typically very high currents, fixed frequency Higher energies limited by shift in revolution frequency due to relativistic effects. Cyclotrons still used extensively in hospitals.
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Betatron Variant to cyclotron, keep beam trajectory fixed, ramp magnetic fields instead. 25 MeV protons in 1940s. First fixed circular orbit device...
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Synchrocyclotron Fixed “classic” cyclotron problem by adjusting “Dee” frequency. No longer constant beams, but rather injection+acceleration Up to 700 MeV eventually achieved
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Synchrotrons Use smaller magnets in a ring + accelerating station 3 GeV protons BNL 1950s Basis of all circular machines built since Fixed-target mode severely limiting energy reach
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Storage Rings Two beams counter-circulating in same beam-pipe Collisions occur at specially designed Interaction Points RF station to replenish synchrotron losses
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Beamline Elements Dipole (bend) magnets Quadrupole (focusing) magnets Also Sextupoles and beyond
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Largest HEP Accelerator Labs NuTev
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Fermilab Tevatron Highest Energy collider: 1.96 TeV top quark, Higgs search, new physics
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SLAC - SLC and PEPII SLAC Linear Collider (1990-1998) Z-pole, EW physics, B-physics, polarized beams PEPII Asymmetric Storage Ring (1999-present) 3 GeV e + on 9 GeV e - Very high luminosity, CP Violation, B-physics, rare decays
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CERN Large Hadron Collider Under construction in old LEP tunnel Will collide pp at 14 TeV (mini-SSC) Higgs, EW symmetry breaking, new physics up to 1 TeV
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CERN Complex Old rings still in use Many different programs
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Proposed 1 TeV e + e - collider Similar energy reach as LHC, higher precision
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