Introduction to accelerators for teachers (Korean program) Mariusz Sapiński CERN, Beams Department August 9 th, 2012
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1 Introduction to accelerators for teachers (Korean program) Mariusz Sapiński CERN, Beams Department August 9 th, 2012
2 Definition (Britannica) Particle accelerator: A device producing a beam of particles (ions or subatomic particles) Macroparticle accelerator production of particles (sources) forming a beam (by acceleration and focusing) Aspects related to LHC: storage of beam collisions of beams (circular accelerator) (collider) M. Sapinski 2
3 There exist beams without accelerators For instance beams of alpha radiation are often obtained by collimation of radiation produced by radioactive isotopes. M. Sapinski 3
4 Limits of speed (special relativity) ( ev kinetic energy gained by a particle with elementary charge in electric potential of 1 V) nothing can move than light well faster In LEP electrons traveled with: % c. In LHC protons travel with: % c. Electrons in LEP traveled by about 10 km/h faster than protons in LHC! Acceleration in LHC is by about 3000 km/h i.e. 1 km/s. So we speak about accelerating to ENERGY, not speed. (speed of light km/s!) M. Sapinski 4
5 What kind of beams are needed at CERN? Particle physicists need beams: clean one particle type (protons) monoenergetic (7 TeV) high intensity (10 14 particles) small transverse beam size ( mm) well controlled (stability, reduce risk of machine damage) We can produce a beam of any ion/isotope and beams of muons, neutrinos, neutrons, high-energy photos... (secondary beams) M. Sapinski 5
6 Outlook Particle sources Electrostatic acceleration Resonant cavities. Standing and traveling wave acceleration. Synchronism Cosmic acceleration, wakefield acceleration Circular accelerators: cyclotron Synchrotron: dipoles and focusing magnets Colliders: luminosity. LHC beam. Future of accelerators M. Sapinski 6
7 Particle sources Electrons: thermionic emission (emission of electrons from hot surface, as in old TV sets) or laser-driven emission. Ions/protons: separation of ions from electrons in plasma - duoplasmotron Early stages after source: 1. collimation 2. bunching 3. initial acceleration and focusing (RF quadrupole) M. Sapinski 7
8 How to accelerate? Transform some kind of energy into kinetic energy Vehicle: chemical thermal kinetic Complicated mechanism not suited to elementary particles need to use elementary fields Gravity: α G =Gm e 2 /hc= Magnetic field: F=q (v x B) Static magnetic field acts perpendicularly to direction of movement cannot be used to accelerate particles. Electric field: α EM =e 2 /4πhcε 0 = M. Sapinski 8
9 The simplest electrostatic accelerator (XIX century) accelerating field experiment - where the beam is used particle source vacuum X-ray tube: E ~ 10 5 ev (100 kv) main limit: ability to generate high electrostatic voltage (electric discharge) vacuum crucial element of every accelerator M. Sapinski 9
10 The simplest electrostatic accelerator (XX century) Van der Graaf generators to get high voltage M. Sapinski 10
11 How to go beyond the limit of electrostatic voltage? + V - source First system: 1928 Particles are accelerated in between the drift tubes New element, not present in x-ray tube: bunches Limit: radiation losses the system is a big emitting antenna (>10 MHz) M. Sapinski 11
12 Improvement: Alvarez system 1947, following the evolution of radar technology (klystron) Enclose everything in a RESONANT CAVITY, such that resonant frequency equal to the one needed for acceleration In such cavity a standing wave is created with electric field in the direction of particle movement Wave is generated by klystron Wave frequency up to: 200 MHz This system is used also today (Linac2, Linac4) Drift Tube Linac (DLT), 3 MV/m M. Sapinski 12
13 Electromagnetic wave Empty space Wave-guide (metal box) We want to use electromagnetic wave to accelerate relativistic particles. M. Sapinski 13
14 Standing and traveling waves (two ways to drive the particles) Accelerating gradient: up to. 5 MV/m Accelerating gradient up to MV/m (superconducting cavities) M. Sapinski 14
15 Stability: synchronism Particles arrived later Particles arrived earlier M. Sapinski 15
16 Modern cavities Particles arrived later LHC ILC Particles arrived earlier M. Sapinski 16
17 How high energy cosmic rays are generated? Ultra-high energies: ev, LHC: ev (Oh-my-God particle: 50 joules!) Ultra-high energy cosmic rays are produced via Fermi acceleration: magnetic shock wave after supernova explosion LHC LHC Not useful for us: large space required, acceleration is isotropic M. Sapinski 17
18 New ideas: plasma acceleration Electric field of a laser pulse creates a zone of separation electrons from ions. It looks like a bubble of positive charge (cleared from electrons) moving through plasma at close to the speed of light. Just after this positively charged bubble electrons fall back creating negatively charged zone. In between a very high field gradient is formed. Gradients: Resonant cavity: 30 MV/m Gas plasma: 100 GV/m femtosecond synchronization acceleration record: 42 GeV on 85 cm (Nature 445)! for comparison: GeV 3 km! SLAC M. Sapinski 18
19 Linear and circular accelerators Linear: Every accelerating element is used only once, Distance between accelerating elements must change according to particles speed (before reaching relativistic regime) Circular: Accelerating element is reused every turn, In collider the same particle bunches are reused every turn Bρ = p/e - during acceleration B or ρ changes M. Sapinski 19
20 Cyclotron Constant magnetic field bends particles, between the two D electrodes (dees) alternating voltage is applied Largest in TRIUMF (Canada): 18 meter diameter Lawrence, Nobel 1939 (but also Widroe!) vacuum chamber: large narrow gap between 2 poles M. Sapinski 20
21 Cyclotron in PSI/Switzerland Accelerating protons from 72 MeV to 590 MeV, 1.3 MW beam power
22 Synchrotrons M. Oliphant - idea E. McMillan - construction Instead of changing the orbit of the particles, the magnetic field increases (synchronously with particle energy) Electric field gradient in cavities also changes Main elements: Bending magnets Focusing magnets Resonant cavities First synchrotron: 1950s, 3 GeV, Berkeley Lab M. Sapinski 22
23 Bending magnets Lorenz force Dipoles (vertical field) bend beam in horizontal direction 15 m, 32 tons M. Sapinski 23
24 15 m, 32 tons M. Sapinski 24
25 Beam stability Perfect synchrotron needs only dipoles But the world is not perfect beam particles suffer from: gravity radiative energy losses interactions between particles interactions with accelerator (mirror fields etc) As a result beam is defocused To keep it focused: quadrupoles Analogy to optical lens, but in one plane only M. Sapinski 25
26 FODO structure FODO cell Beta function cela FoDo M. Sapinski 26
27 FODO structure in LHC Quadrupole focusing Sextupole chromaticity correction Dipole - bending and: octupoles orbit correction dipoles solenoids M. Sapinski 27
28 LHC quadrupole Superconducting Length about 3.5 m Many types Special type in the interaction points Other correctors: sextupoles, octupoles, decatupoles M. Sapinski 28
29 Interaction point Beams focused from 0.1 mm to 0.02 mm, (human hair 0.05 mm) Millions of collisions per second (f) Luminosity: L=f/σ Integrated luminosity: What is inverse femtobarn? 1 barn = cm 2 M. Sapinski 29
30 LHC beam protons with kinetic energy 7 TeV on common orbit (within 0.1 mm) Total kinetic energy in both beams: 362 MJ Compare with: protons, 450 GeV fault extraction from SPS, October 2004, magnet damaged L= kn 2 f 4 πσ x σ y M. Sapinski 30
31 Future of accelerators Light sources for structural and material research Hadron therapy Accelerator-driven fusion Next fundamental physics tool: CLIC or NLC linear, colliding electrons M. Sapinski 31
32 Livingstone plot M. Sapinski 32
33 Summary Accelerators produce beams of high energy charged particles Particle sources thermionic emission or plasma Acceleration methods: electrostatic, on electromagnetic wave (standing or traveling resonant cavities), plasma acceleration, Fermi mechanism Linear and circular accelerators Cyclotron: increase orbit radius with particle energy Synchrotron: increase magnetic field with particle energy bunches Bending magnets (dipoles) and focusing magnets (quads) Collision point luminosity beam optics After LHC: linear electron collider M. Sapinski 33
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