Description of Hadrons in the Tuebingen Chiral Quark Model Amand Faessler University of Tuebingen

1. Description of Hadrons in the Tuebingen Chiral Quark ModelAmand FaesslerUniversity of Tuebingen Gutsche, Lyubovitskij, Yupeng Yan, Dong, Shen+ PhD students: Kuckei, Chedket, Pumsa-ard, Kosongthonkee, Giacosa, Nicmorus

2. The Perturbative Chiral Quark Model Quantum Chromodynamic (QCD) with: (Approximate) Symmetries: • P, C, T (exact) • Global Gauge Invariance: (exact) for each flavorf

3. The Perturbative Chiral Quark Model Conservation of the No quarks of flavor f: • baryon number • electric charge • Third component of Isospin • Strangeness • Charme … (3) ApproximateFlavor Sym. all the same (4) ApproximateChiral Sym. u, d / SU(2) Isospin

4. The Perturbative Chiral Quark Model (Effective Lagrangian) Chiral Perturbation Theory (cPT): Gluons eliminated Quarks eliminated Perturbative Chiral Quark Model (PχQM) Gluons eliminated With Quarks

5. Chiral Invariant Lagrangian for the Quarks SU(2 or 3) Flavor

6. The Perturbative Chiral Quark Model (2) Non-Linear σ-Model: SU(2): invariant since: Invariant Lagrangian: with Scalar- and Vector-Potential.

7. The Perturbative Chiral Quark Model with: SU2: SU3:

8. The Perturbative Chiral Quark Model Seagull Term

9. The Perturbative Chiral Quark Model Current Algebra Relations Gell-Mann-Oaks-Renner relat.: Gell-Mann-Okubo relation: with:

10. The Perturbative Chiral Quark Model NUCLEON Wave Functions and Parameters: Quark Wave Function: Potential:

11. The Perturbative Chiral Quark Model

12. The Perturbative Chiral Quark Model The PION-NUCLEON Sigma Term: Gutsche, Lyubovitskij, Faessler; P. R. D63 (2001) 054026 PION-NUCLEON Scattering: time Weinberg-Tomozawa

13. The Perturbative Chiral Quark Model QCD: Proton

14. Pion (Kaon, Eta)-Nucleon Sigma-Term

15. Pion-Nucleon Sigma Term in the PerturbativeChiral Quark Model

16. Scalar Formfactor of the Nucleon and the Meson Cloud

17. The Perturbative Chiral Quark Model Electromagnetic Properties of Baryons: + counter terms Tuebingen group: Phys. Rev. C68, 015205(2003); Phys. Rev. C69, 035207(2004) ….

18. Magnetic Moments and Electric and Magnetic Radii of Protons and Neutrons[in units of Nulear Magnetons and fm²]

19. Helicity Amplitudes for N – D Transition at the Photon Point Q² = 0

20. Strangeness in the Perturbative Chiral Quark Model Proton

21. Strange Magnetic Moment and Electric and Magnetic Strange Mean Square Radii

22. Strangeness in the nucleonE. J. Beise et al. Prog. Part. Nucl. Phys. 54(2005)289 F. E. Maas et al. Phys. Rev. Lett. 94 (2005) 152001

23. Strangeness in the Nucleon E. J. Beise et al. Prog. Part. Nucl. Phys. 54(2005)289 § F. E. Maas et al. Phys. Rev. Lett. 94 (2005) 152001*

24. Compton Scatteringg + N -> g´+ N´and electricaand magneticbPolarizabilities of the Nucleon. Exp: Schumacher Prog. Part. Nucl. Phys. to be pub.55(2005)

25. Compton Scattering Diagrams for electric a and magnetic b Polarizabilities

26. Compton Scattering diagrams for Spin Polarizabilities g

27. Electric a and Magnetic b Polarizabilities of the Nucleon [10**(-4) fm^3]

28. The Perturbative Chiral Quark Model SUMMARY Theory of Strong Interaction: Effective Lagrangian with correct chiral Symmetry without Gluons with Quarks Perturbative Chiral Quark Model

29. The Perturbative Chiral Quark Model (Effective Lagrangian) Chiral Perturbation Theory: Gluons eliminated Quarks eliminated Perturbative Chiral Quark Model (PχQM) Gluons eliminated With Quarks

30. Chiral Invariant Lagrangian for the Quarks SU(2 or 3) Flavor

31. The Perturbative Chiral Quark Model (2) Non-Linear σ-Model: SU(2): invariant since: Invariant Lagrangian: withScalar- and Vector-Potential.

32. The Perturbative Chiral Quark Model Current Algebra With:

33. The Perturbative Chiral Quark Model Radii and Magnetic Moments of p,n Electric and Magneticp,nForm factors Strangeness in N π-Nucleon-σTerm Electric and Magnetic Polarizabilities of the Nucleon Two Parameters only: <r²>, g(A) The End