Why do we accelerate particles?
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1 Why do we accelerate particles? (1) To take existing objects apart 1803 J. Dalton s indivisible atom atoms of one element can combine with atoms of other element to make compounds, e.g. water is made of oxygen and hydrogen (OH) 1896 M. & P. Curie find atoms decay 1897 J. J. Thomson discovers electron 1906 E. Rutherford: gold foil experiment Physicists break particles by shooting other particles on them
2 Why do we accelerate particles? (2) To create new particles 1905 A. Einstein: energy is matter E=mc P. Dirac: math problem predicts antimatter 1930 C. Anderson: discovers positron 1935 H. Yukawa: nuclear forces (forces between protons and neutrons in nuclei) require pion 1936 C. Anderson: discovers pion muon First experiments used cosmic rays that are accelerated for us by the Universe are still of interest as a source of extremely energetic particles not available in laboratories
3 Accelerator components Particle source Accelerating equipment Vacuum
4 Basic accelerator physics Lorentz Force: F = qe + q(v B) magnetic force: perpendicular to velocity, no acceleration (changes direction) electric force: acceleration
5 Accelerators: Cockroft-Walton A (series of) voltage gap(s) Maximum energy of a single gap is 200 kv, limited by discharge CW accelerator at Fermilab: 750 kv
6 Accelerators: Van de Graaf Van de Graaf generator: an electrostatic machine which uses a moving belt to accumulate very high voltages on a hollow metal globe 1: metallic sphere 2: electrode connected to 1 3: upper roller 4: belt (positive side) 5: belt (negative side) 6: lower roller 7: lower electrode (ground) 8: spherical device, used to discharge the main sphere 9: spark
7 Linear accelerators A simple concept: a series of cylindrical tubes connected to a high frequency oscillator the electric field is alternating doesn t it mean that acceleration is followed by deceleration?
8 Surfing the electromagnetic wave Charged particles ride the EM wave create standing wave use a radio frequency cavity make particles arrive on time Self-regulating: slow particle larger push fast particle small push
9 Surfing the electromagnetic wave
10 How to create a standing wave? Klystron (S. & R. Varian) electrons flow into cavity, excite eigen modes creates standing electromagnetic waves A similar device (magnetron) found in your microwave oven 325 MHz Klystron for Proton Driver Linac (Fermilab)
11 1929 E.O. Lawrence Cyclotron The physics: centripetal force mv 2 /r = Bqv Particles follow a spiral in a constant magnetic field A high frequency alternating voltage applied between D- electrodes causes acceleration as particles cross the gap Advantages: compact design (compared to linear accelerators), continuous stream of particles Limitations: synchronization lost as particle velocity approaches the speed of light the world largest cyclotron at TRIUMF (520 MeV protons)
12 Synchrotron The idea: both magnetic field strength and electric field frequency are synchronized with the traveling particle beam particle trajectories confined to a thin vacuum beamline no large magnets, expandable synchrotron radiation limits its use for electrons Currently, accelerators of this type provide highest particle energies in the world
13
14 Linear vs circular accelerators Circular accelerators are compact, can re-use the same RF cavities Main issue: synchrotron radiation P~(E/m) 4 LEP LHC (not necessarily bad) European Synchrotron Radiation Facility Grenoble, France
15 E B Beam optics Dipole magnets: bend the (monochromatic) beam can be used to select certain beam momentum Quadrupole magnets: focusing in one direction, defocusing in perpendicular direction two Q magnets with perpendicular axes placed next to each other focus the beam in both directions
16 Hadron vs electron colliders electron proton Point-like particle yes no Uses full beam energy yes no Transverse energy sum zero zero Longitudinal energy sum zero non-zero Synchrotron radiation large small
17 Accelerators: performance vs time Energy increases by a factor of 10 every 7 years
18 Large Electron-Positron collider Location: CERN (Geneva, Switzerland) accelerated particles: electrons and positrons beam energy: GeV, beam current: 8 ma the ring radius: 4.5 km operation:
19 Tevatron Location: Fermilab (Batavia, IL) accelerated particles: protons and anti-protons beam energy: 1 TeV, beam current: 1 ma the ring radius: 1 km operation:
20 Large Hadron Collider Location: CERN (Geneva, Switzerland) accelerated particles: protons beam energy: TeV, beam current: 0.6 A the ring radius: 2.8 km in operation since 2008
21 Future of accelerators Future linear colliders: ILC (International Linear Collider) and CLIC (Compact Linear Collider): TeV Very Large Hadron Collider (not SLHC a.k.a HL- LHC): TeV Muon Collider: TeV lepton collider without synchrotron radiation capable of producing many more Higgs particles compared to an e + e collider Problem: muon cooling (MuCool, MICE)
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