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Physics 32: Elementary Particles. Christopher Chui. High-Energy Particles-1. Matter-wave: de Broglie wavelength, l = h/(mv) Van de Graaff generator and accelerator produce 30 MeV to accelerate particles. A source of H or He ions is accelerated towards the target
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Physics 32: Elementary Particles Christopher Chui Physics 32: Elementary Particles - Christopher Chui
High-Energy Particles-1 • Matter-wave: de Broglie wavelength, l = h/(mv) • Van de Graaff generator and accelerator produce 30 MeV to accelerate particles. A source of H or He ions is accelerated towards the target • Cyclotron uses a magnetic field to maintain charged ions, usually protons, in circular paths • Force due to magnetic field = qvB = ma = mv2/r • Period T = distance/speed = 2 pr/(qBr/m) = 2 pm/qB • A modified cyclotron (synchrocyclotron) allows complex electronics to decrease the frequency as the protons increases in speed to reach larger orbits Physics 32: Elementary Particles - Christopher Chui
High-Energy Particles-2 • Synchrotron increases the magnetic field B as the particles speed up. Machines in Fermilab and CERN accelerate protons to energies of 500 GeV • Tevatron at Fermilab uses superconducting magnets to accelerate protons to 1000 GeV = 1 TeV • Synchrotron radiation causes energy loss • Linear accelerators accelerate electrons to 50 GeV • Colliding beams allow two beams of particles to collide head-on using storage rings up to 186 GeV Physics 32: Elementary Particles - Christopher Chui
Yukawa Particle • In 1935 Yukawa predicted the existence of a new particle (meson) to mediate the strong nuclear force • For EM force between two particles, photons are exchanged to give rise to a force • Feynman diagram shows a photon acting as the carrier of the EM force between two electrons • Strong nuclear force = mc2 ~ hc/(2pd) • In 1947 meson was discovered in p+, p-, and p0 • Reactions: p+pp+p+ p0 andp+pp+n+ p+ • Particles presumed to transmit weak force: W+, W-, and Z0 were detected in 1983 • The quantum of gravitational force, graviton, has not been found Physics 32: Elementary Particles - Christopher Chui
Four Forces in Nature • TYPE Relative Strength Field Particle • Strong nuclear 1 Gluons • Electromagnetic 10-2 Photon • Weak nuclear 10-6 W+, W-, Z0 • Gravitational 10-38 Graviton (?) Physics 32: Elementary Particles - Christopher Chui
Stable Particles under Strong Decay • Category Name Symbol Antiparticle Spin Lifetime • Leptons electrons e- e+ ½ stable neutrino e nene’ ½ stable muons m-m+ ½ 2.2x10-6 neutrino mnmnm’ ½ stable tau t-t+ ½ 2.9X10-13 neutrino tntnt’ ½ stable • Hadrons(mesons) pion p+p- 0 2.6x10-8 kaon p 0 self 0 0.84x10-16 eta h0 self 0 5x10-19 • Baryons proton p p’ ½ stable neutron n n’ ½ 887 • G-bosons Photon g Self 1 stable W W+ W- 1 3x10-25 Z Z0 self 1 3x10-25 Physics 32: Elementary Particles - Christopher Chui
Stability, Resonance, and Strange • Lifetime depends on which force is acting • Very short-lived particles are inferred from their decay products • Resonance refers to a large peak in the KE of particle bombardment, such as the D “particle” • Strange particles refer to reactions having twice as long half-lives as would be expected • Strangeness is conserved in strong interactions but not in weak Physics 32: Elementary Particles - Christopher Chui
Quarks and Antiquarks • Proton = 2 ups + 1 down = 2/3 e +2/3 e – 1/3 e • Neutron = 1 up + 2 downs = 2/3 e – 1/3 e – 1/3 e • Meson pion = 1 u + 1 antidown= 2/3 e + 1/3 e • Antipion = 1 antiup + 1 down = -2/3 e – 1/3 e • Antikaon = 1 antiup + 1 strange= -2/3e –1/3e • Charmed quark has +2/3 e and C=1 • Top and bottom quarks are 3rd generation quarks • Electrons, protons, and neutrons are fermions (1/2 spin) for structure of matter; all others are called bosons (integer spin) for carriers of forces Physics 32: Elementary Particles - Christopher Chui
QCD, and Electroweak Theory • Quarks have 6 flavors: u, d, s, c, b, t • Quarks might have color charge • Strong force between quarks is color force • QCD is the force that acts between color charges • Strong force between 2 hadrons is a force between the quarks are called gluons • Color force increases with increasing distance! • When 2 quarks approach each other, the force between them becomes very small—asymptotic freedom • Gauge theory attempts to unify the weak and electromagnetic interactions, which are seen as 2 diff manifestations of a single electroweak interaction Physics 32: Elementary Particles - Christopher Chui
GUT • GUT attempts to unify electroweak theory into QCD • On a scale of 10-30 m, the EM, weak, and strong forces appear to work on 1 class of particle—leptons and quarks; baryons and lepton numbers would not be conserved • Lepton could become a quark through X bosons with a mass of 1014 GeV/c2 or 1014 times heavier than a proton • String theory attempts to unify all 4 forces of nature into a single theory • When supersymmetry is appliedsuperstring theory • Superstring theory predicts fermions would change into bosons, and all quarks have squark partners, and all leptons have slepton partners; bosonsphotinos and gluions. All these have not been detected yet Physics 32: Elementary Particles - Christopher Chui