1 / 56

Graduiertenkolleg Freiburg 24-02-2007 The nucleon as non-topological chiral soliton

Graduiertenkolleg Freiburg 24-02-2007 The nucleon as non-topological chiral soliton. Klaus Goeke. Applications of the Chiral Quark Soliton Model to current topical experiments and lattice data. Ruhr-Universität Bochum, Theoretische Physik II Hadronenphysik.

cleave
Download Presentation

Graduiertenkolleg Freiburg 24-02-2007 The nucleon as non-topological chiral soliton

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Graduiertenkolleg Freiburg 24-02-2007 The nucleon as non-topological chiral soliton Klaus Goeke Applications of the Chiral Quark Soliton Model to current topical experiments and lattice data Ruhr-Universität Bochum, Theoretische Physik II Hadronenphysik Verbundforschung BMBF Transregio/SFB Bonn-Bochum-Giessen

  2. Contents • Chiral Quark Soliton Model • Quantum Chromodynamics • Relativistic Mean Field Description • Parton distributions, transversity, magnetic moments (HERMES, COMPASS) • Strange magnetic form factors • Experiments A4 G0 SAMPLE HAPPEX • Lattice QCD and extrapolation to small mp • Form factors of energy momentum tensor • Distributions of (angular) momentum in nucleon • Distribution of pressure and shear in the nucleon • Summary and conclusions

  3. Authors • Anatoli Efremov (Dubna) • Hyun-Chul Kim (Busan) • Andreas Metz (Bochum) • Jens Ossmann (Bochum) • Maxim Polyakov (Bochum) • Peter Schweitzer (Bochum) • Antonio Silva (Coimbra) • Diana Urbano (Coimbra/Porto) • Gil-Seok Yang (Bochum/Busan)

  4. Quantum Chromo dynamics SU(3) Has problems with the chiral limit Constructed to work in the chiral limit Baryon –Octet –Decuplet -Antidecuplet Nucleon Chiral Quark Soliton Model

  5. Lattice Techniques Aim: exact T  infinite V  infinite a  zero Pion mass > 500 GeV Wilson Clover Staggered (Un)quenched Extraction of dimensional quantities Expensive Effective Models Approximate Certain physical region Pion mass = 140 MeV Identification of relevant degrees of freedom Inexpensive QCD

  6. 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-Quarkmasses  zero ~ 0 Global QCD-Symmetries  Lagrangean invariant under:

  7. 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):

  8. Scattering of light quarks at randomly distributed Instantons (fluctuations of the gluon field with topological properties) Similar to scattering of electrons at impurities in a solid state • Instanton model of vacuum  Random matrix theory  • Effective momentum dependent quark mass  ChQSM (Diakonov,Petrov)

  9. ChQSM - parameters

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

  11. Selfconsistent Soliton: Relativistic selfconsistent mean field

  12. Fitted to data Fitted to data ChQSM: Parton distributios Selfconsistently fulfilled: QCD-sum rules, positivity, Soffer-bounds, forward limits of GPDs, etc.

  13. Azimuthal asymmetries transversal target Quark unpol Distr. Meson unpol Fragm. quark ChQSM: Transversity distribution

  14. Positive, close to Soffer bound ChQSM: Transversity Parton Distribution Function

  15. HERMES SIDIS-data for proton Favoured: positiv

  16. COMPASS SIDIS-data for deuteron

  17. BELLE

  18. Transversity distribution: Facts Chiral Quark Soliton Model

  19. Strange Formfactors

  20. Parity violating electron scattering

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

  22. Strange Form Factors F1 and F2

  23. Strange weak, electric, magnetic form factors

  24. Experiment: 1.26 Axial and strange axial form factors

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

  26. HAPPEX Parity violating asymmetries of proton SAMPLE A4

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

  28. A4, G0: Parity violating e-scatt.

  29. The World data for GsM and GsE from A4, HAPPEX and SAMPLE 19) ChQSM 21) Lewis et al. 20) Lyubovitskij et al. 16) Park + Weigel 17) Hammer et al. 22) Leinweber et al. 18) Hammer + Musolf

  30. The World data for GsM and GsE from A4, HAPPEX and SAMPLE + HAPPEX(2005) 19) ChQSM 21) Lewis et al. 20) Lyubovitskij et al. 16) Park + Weigel 17) Hammer et al. 22) Leinweber et al. 18) Hammer + Musolf preliminary

  31. Data combined from parity-violating electron-scattering and neutrino- and anti-neutrino scattering (Pate et al.)

  32. Data combined from parity-violating electron-scattering and neutrino- and anti-neutrino scattering (Pate et al.)

  33. Data combined from parity-violating electron-scattering and neutrino- and anti-neutrino scattering (Pate et al.)

  34. Strange Form factors • Experiments: SAMPLE HAPPEX A4 G0 • Parity violating e-scatt • n-scattering • ChQSM works well for all form factors • Only approach with ms>0 • Experiments with large error bars • Clear predictions for A4, G0 • Theory with large error bars

  35. ChQSM and Lattice Gauge theory

  36. Experiment - Theory Experiment QCD Chiral Perturb. Th. QCD Lattice Gauge Chiral Quark soliton model

  37. One fit parameter Nucleon mass: mp-dependence

  38. Quenched vs. Unquenched

  39. MILC LQCD-data

  40. Extrapolation to small mp by ChPT and ChQSM

  41. Extrapolation to small mp by ChPT and ChQSM

  42. Spin-distribution, pressure, shear, surface tension, d-Term

  43. Energy Momentum Tensor of QCD: New form factors Lorentz decomposition:

  44. DVCS and Form factors of energy-momentum tensor of QCD Sum rule of Ji

  45. Energy momentum tensor: Properties

  46. At the physical point (mp=140 MeV) is the energy-density in the centre of the nucleon 13x the energy density of nuclear matter Energy density rE(r) in ChQSM

  47. Angular momentum density rJ(r) of quarks (spin + orbital)

  48. Pressure at r=0 is 10-100 times higher than in a neutron star Pressure and Shear Distribution inside the nucleon Integral =0

  49. Shear distribution (surface tension) of the nucleon Liquid drop (softened) surface tension Nucleon

  50. Form factors of the energy momentum tensor

More Related