The Quark Structure of Hadrons
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The quark structure of Hadrons Claude Amsler Stefan Meyer Institute for Subatomic Physics 3 - 17 November 2016 The quark structure of hadrons, C. Amsler, November 2016 1 Prof. Dr. C. Amsler EP department, CERN CH-1211 Geneva 23 Switzerland E-mail: [email protected] http://www.cern.ch/amsler/ Tel: + 41 22 767 2914 Mobile: +41 75 411 4329 Chair of Experimental Physics at the Physics Institute of the University of Zürich (1999 - 2012) Professor Emeritus (since August 2012) Affiliated with SMI since 1 April 2016, stationed at CERN http://amsler.web.cern.ch/amsler/ The quark structure of hadrons, C. Amsler, November 2016 2 The Quark Structure of Hadrons www.dkpi.at/event/lectures-claude-amsler/ 8 x 2 hours Exercises: Problems will be distributed near the end of the course Please submit your solutions until 20 December Corrections will be distributed in January Credit points: 1 hour/week at Uni without exercises (1.5 credit points) 2 hours /week at TU with exercises (3 credit points) (then please register at TU until 30 Nov) Exams in March 2017 Abstract: http://www.dkpi.at/wp-content/uploads/2016-ClaudeAmsler-QuarkStructure.pdf Phenomenologically oriented The quark structure of hadrons, C. Amsler, November 2016 3 Contents Bibliography 10.3 Potential model 1. Introduction 10.4 Level splittings 1.1 Gell-Mann-Nishijima formula 10.4.1 Fine splitting (charmonium), 1P1 mass 1.2 Conservation laws 10.4.2 Hyperfine splitting (charmonium) 2. Mesons 11 SU(3) color 2.1 Pion (spin, parity, Clebsch-Gordan coefficients) 11.1 Glueballs 2.1.1 Spin and parity of the neutral pion 11.2 Scalar mesons (Crystal Barrel, Dalitz plot) 2.2 Kaon (spin) 11.3 Intermezzo 1: branching ratios of isoscalar mesons into 2 pseudoscalars 3. Isospin multiplets revision 11.3.1 Isoscalar coefficients 3.1. Radiative decays (Crystal Barrel experiment, Dalitz plots) 11.4 Glueball decays 4. C parity 11.4.1 Glueball mixing with quark-antiquark 4.1 G parity 11.4.2 Tensor glueball 5. Meson nonets 12: Intermezzo 2: parametrization of resonances (K- and T-matrix, coupled channel, 5.1 Nomenclature Breit-Wigner distribution) 5.2 Quark-antiquark wave functions 13. Tetraquark 5.3 Mixing angle (ideal mixing) 13.1 Charmonium-like 5.3.1 Pseudoscalar nonet 13.1.1 X(3872), Z(3900), Z(4430) 5.4 OZI rule 13.2 Bottomonium-like 6. SU(2) (Wigner rotations) 13.2.1 Zb(10610), Zb(10650) 6.1 Isospinor of the antiquarks 14. Pentaquark (theta+, Pc+) 6.2 Symmetrization (pion and rho meson) 15. Baryons 6.3 Young tableaux 15.1 Nomenclature 6.4 3-quark spin wave functions 15.2 Ground state baryons 6.5 3-quark isospin wave functions 15.3 Construction of SU(3) wave functions 7. SU(3) 15.4 Symmetric quark model 7.1 SU(3) wave functions 15.5 Application of SU(3) symmetry: Gell-Mann-Okubo formula 7.2 Application: radiative meson decay 15.6 Applications of SU(3) symmetry: Magnetic moments of baryons (proton, neutron) 7.3 Application: measurement of the pseudoscalar mixing angle 15.6.1 Magnetic moment of the Lambda 8. Heavy quarks 15.6.2 Magnetic moments of other baryons 8.1 Charm quark 16. Excitations of light baryons 8.2 Bottom quark 16.1 Harmonic oscillator 9. SU(4) 17. Heavy baryons 9.1 u,d,s,c quarks 17.1 u, d, s, c baryons (Lambda_c, double charm, Sigma_c, Xi_c, Omega_c) 9.2 u,d,s,b quarks 17.2 u, d, s, b baryons (Lambda_b, Xi_b, Omega_b, Xi_b*) 10. Quarkonium 18. Spin and decay angular distribution 10.1 Charmonium 18.1 Helicity formalism 10.2 Bottomonium 18.2 Applications (Lambda decay, annihilation, spin of the Omega hyperon) The quark structure of hadrons, C. Amsler, November 2016 4 Bibliography • Review of Particle Physics 2016 (biennial, appeared recently) http://pdg.lbl.gov/ Download reviews, tables, listings of particles (1800 pages) • C.A., Nuclear and Particle Physics, IOP Publishing (2015) [CA 2016] doi:10.1088/978-0-7503-1140-3 For this course: Chapters 10: Quark model 11: Conservation laws 12: Hadronic interactions See also «Applications in hadron spectroscopy» (Supplementary material to download) •Magnetic moments of baryons •Angular distribution and spin http://amsler.web.cern.ch/amsler/NPIOP/announce.html The quark structure of hadrons, C. Amsler, November 2016 5 Specialized books on hadron spectroscopy: • Close, Introduction to quarks and partons, Academic press, 1979 • Flamm and Schoberl, Quark model of elementary particles, Gordon and Breach, 1982 • Okun, Leptons and Quarks, North-Holland, 1982 Review articles: • CA, T. DeGrand, B. Krusche, Quark Model, Chin. Phys. C 40, 100001 (2016) (RPP 2016) http://pdg.lbl.gov/ (see also « non-qqbar candidates») • E. Klempt and J.M. Richard, Baryon spectroscopy, Rev. Mod. Phys. 82 (2010) 1095 • N. Brambilla et al., Quarkonium, Eur. Phys. J. C71 (2011) 1534 • S.L. Olsen, New hadron spectroscopy, Front. Phys. 10, 101401 (2015) • J.M. Richard, Exotic Hadrons (theoretical), Review and Perspectives, arXiv:1606.08593 • CA, meson spectroscopy in proton-antiproton annihilation Rev. Mod. Phys. 70 (1998) 1293 • CA and N. Törnqvist, beyond the naive quark model, Phys. Rep. 389 (2004) 61 Copies of slides can be downloaded The quark structure of hadrons, C. Amsler, November 2016 6.