Parity violating asymmetries: Milos (Greece) May 2006 Solitonic approach to strange Form Factors

1. Parity violating asymmetries: Milos (Greece) May 2006 Solitonic approach to strange Form Factors Applications of the Chiral Quark Soliton Model to SAMPLE, HAPPEX , G0 and A4 Klaus Goeke Bochum University Transregio/SFB Bonn, Bochum, Giessen Verbundforschung BMFT Hadronen und Kerne COSY-Project Jülich

2. Contents • Chiral Quark Soliton Model • Quantum Chromodynamics • Relativistic Mean Field Description • Strange magnetic form factors • Experiments A4 G0 SAMPLE HAPPEX • Asymmetries • Global data • Form factors, Parton distributions etc. • Chiral Symmetry breaking, Instantons

3. Silva et al. • Hyun-Chul Kim (Busan) • Antonio Silva (Coimbra) • Diana Urbano (Porto) • K. G. (Bochum)

4. Parity violating electron scattering

5. Parity violating electron scattering SAMPLE HAPPEX A4 A good theory must be able to describe several form factors simultaneously and generalized form factors (i.e. generalized parton distributions) and parton distributions and anti-parton distributions

6. Lattice Techniques Aim: exact T  infinite V  infinite a  zero Pion mass  140 GeV Wilson Clover Staggered (Un)quenched Extraction of dimensional quantities Effective Models Certain physical region Aim: Relevant degrees of freedom approximate QCD

7. ChQSM: Effective rel. QFT Stationary state of this lagrangean calculated by relativistic mean field techniques Projection on angular momentum quantum numbers by semiclassical methods

8. Strange weak and magnetic form factor SAMPLE (JLAB)

9. HAPPEX

10. Parity violating asymmetries Polarized eP-scattering, circularly polarized electrons, positive and negative helicities

11. Proton electroweak neutral axial vector form factors

12. HAPPEX Parity violating asymmetries of proton SAMPLE A4

13. Prediction (backward angles) prediction Parity violating asymmetries: G0 forward angles

14. Parity violating e-scatt.

15. Effect of strante quarks Difference between the parity violating asymmetries including strange quark effects (A-phys) and the asymmetry assuming strange form factors to vanish (A-0). The lines represent the ChQSM

16. The World data for GsM and GsE from A4, HAPPEX and SAMPLE and ChQSM

17. Hydrogen and deuterium data for GsM and GeA(T=1) from HaPPEX at Q2=0.1GeV2ext Data plot from Beise, Pitt and Spayde

18. Does the ChQSM work else ?

19. Magnetic moments of octet baryons SU(3) particle (ChQSM) ChQSM experiment

20. Magnetic transition moments

21. Fitted to data Fitted to data Chiral quark soliton model Selfconsistently fulfilled: QCD-sum rules, positivity, Soffer-bounds, forward limits of GPDs, etc.

22. d-bar minus u-bar Antiquark distributions: unpolarized flavourasymmetry Chiral Quark Soliton Model E866: Drell-Yan:

23. Antiquark isovector polarized Bochum prediction

24. Our Prediction including Tw-3 HERMES: DVCS - SSA

25. Without D-Term Prediction With D-Term and tw-3 Prediction HERMES: DVCS – CA Charge asymmetry vs.

26. ChQSM: Strange unpol. quark distribution Wakamatsu

27. ChQSM: Strange polarized quark distribution Wakamatsu

28. ChQSM: SU(3) Wakamatsu

29. Nucleon mass: mp-dependence

30. Why does the ChQSM work ?

31. Scattering of light quarks at randomly distributed Instantons (fluctuations of the gluon field with topological properties) • Instanton model of vacuum  Effective momentum dependent quark mass  ChQSM (Diakonov,Petrov)

32. Multiplets: 8, 10, 10 No multipletts Symmetry spontaneousl broken Dynamic mass generation Pions as massless Goldstone bosons Chiral Symmetry of QCD Light Systems: QCD in chiral Limit, QCD-Quarkmasss  zero ~ 0 Globa QCD-Symmetries  Lagrangean invariant under:

33. Simplest effective Lagrangean Invariant: flavour vector transformation Not invariant: flavour axial transformation Invariant: flavour vector transformation and axial transformation  U(x) must transform properly  U(x) exists Pseudo-scalar pion- Kaon-Goldstone field Chiral Quark Soliton Model (ChQSM):

34. Selfconsistent Soliton: Chiral Quark Soliton  Practice

35. Chiral Quark Soliton  Practice Bound valence quarks Polarized Dirac Sea

36. Summary • Chiral Quark Soliton Model • Simplest Quark model with spont.chir.symm.breaking • Relativistic Mean Field Description • Collective Quantization • Strange magnetic form factors • Experiments A4 G0 SAMPLE HAPPEX-II • Asymmetries • Octet- and Decuplet- form factors • Parton distributions, GPDs

37. Thank you for attention

38. JLAB-animation

39. Parity violating electron scattering

40. Strange Form factors • ChQSM works well • Only approach with ms>0 • Experiments with large error bars • Clear predictions for A4, G0 • Theory with large error bars

41. Strange Form Factors F1 and F2

42. HAPPEX

43. A4-Experiment Mainz: Q2=0.108 GeV2 cQSM

44. Hydrogen and deuterium data for GsM and GeA(T=1) from HaPPEX at Q2=0.1GeV2ext Data plot from Beise, Pitt and Spayde

45. Text

46. World data vs. cQSM

47. Quantumnumbers Quantum-No. 3-quark models Coupling of spins and iso-spins of 3 quarks quark soliton model Mean Field  non-linear System  Soliton  Rotation of Soliton in space and iso-space  Projektion Quantum-No. coherent:1p-1h,2p-2h,.... Quantum-No. In natural way small quark and anti-quark admixtures In natural way exotic baryonic states

48. formalism

49. Magnetic moments, electric radii, axial coupling constant Magn. moments scaled with the mass of the nucleon