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H. Fritzsch
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quantum chromo dynamics electroweak gauge theory
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Special quantum relativity mechanics
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Standard Theory particle physics
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1936 => matter atoms electrons + nuclei
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Proton Electron
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nucleus protons neutrons
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electric force strong force
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1935 Heisenberg / Pauli
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1935 strong interactions - meson exchange - Hideki Yukawa meson
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mass: 140 MeV nucleon
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1932 Heisenberg Isospin
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pions: triplet eta: singlet
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weak decay elm. decay
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LBL Berkeley Golden gate
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1953 pion nucleon
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delta quadruplet 1230 MeV
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24 1950 1 discovery of new particles in cosmic rays Hyperons K-mesons
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pair production
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6 hyperons
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8 baryons
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new mesons
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8 mesons
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strangeness conserved in processes of strong interactions
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strangeness not conserved in processes of weak interactions
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S conserved elm. process S=-2 S=-1
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8 baryons
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8 mesons => octet
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Isospin breaking about 1% _______________________________ SU(3)-symmetry breaking about 20% !
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Group theory
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U(n) group of complex unitary n x n matrices SU(n) n x n matrices det U = 1
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U = exp (iH) H: Hermitean n x n matrix
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det U = exp i (trH) SU(n): det U = 1 tr H = 0
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SU(n) (n x n-1) generators SU(2): 3 SU(3): 8 SU(4): 15 SU(5): 24
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structure constants
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quarks triplet fundamental representation
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quark triplet
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steps p / q irreducible representations
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each state is described by 3 numbers:
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1232 MeV 1530 MeV 1385 MeV Decuplet ???
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Decuplet ?
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mesons singlets, octets baryons singlets, octets, decuplets triplets? sextets?
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Three quarks for Muster Mark! Finnegans Wake, page 383
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Three quarks for Muster Mark! Drei Mark für Musterquark!
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SU(3)
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Symmetry breaking quark masses m(u)=m(d)=m(s) SU(3) unbroken
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m(u): 5 MeV m(d): 7 MeV m(s): 110 MeV SU(3) broken
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m(u): 5 MeV m(d): 7 MeV m(d) > m(u) isospin broken by quark masses m(neutron) > m(proton) !!!
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strangeness: - minus number of strange quarks !
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scaling behaviour cross section
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partons quarks
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current commutators near the light cone abstracted from free quark model explains scaling ---------behaviour---------- ---
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115 1 x x = quark-momentum / proton-momentum Expected: x => 1/3
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observed
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1974 : SPEAR Stanford
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J/ψ
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electron-positron-annihilation J/ψ: 3,1 GeV
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c: Charm - Quark
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D-mesons ( masses ~ 1870 MeV )
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D-mesons decay: weak interactions
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1977 Fermilab discovery Y „upsilon“
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upsilon meson (ϒ) 9.46 GeV ϒ=ϒ=
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discovery of t-quark
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CDF-detector
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t-quark gold atom
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t-quark decay very fast no time to form a hadron => No T-mesons No T-baryons
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