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核色动力学导论 --- 用 量子色动力学 描绘 现代核物理 的 蓝图

核色动力学导论 --- 用 量子色动力学 描绘 现代核物理 的 蓝图. 何汉新 中国原子能科学研究院. An Introduction to Nuclear QCD -- QCD and its applications to the systems of nucleon and nuclear structure. He, Han-xin China Institute of Atomic Energy. Contents.

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核色动力学导论 --- 用 量子色动力学 描绘 现代核物理 的 蓝图

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  1. 核色动力学导论---用量子色动力学描绘现代核物理的蓝图核色动力学导论---用量子色动力学描绘现代核物理的蓝图 何汉新 中国原子能科学研究院

  2. An Introduction to Nuclear QCD--QCD and its applications to the systems of nucleon and nuclear structure He, Han-xin China Institute of Atomic Energy

  3. Contents 1. What is nuclear QCD? Why apply QCD to nucleonic and nuclear systems? • Bases of nuclear QCD: QCD and its properties • Nucleon and nuclei at high-energy scale • Nonperturbative QCD studies • Nucleon, nuclei at low-energy scale • Summery

  4. 1. What is nuclear QCD?*Why apply QCD to nucleonic and nuclear systems? • Traditional nuclear physics: nuclei are composed of point-like nucleons Dynamics: Quantum mechanics • DIS experiments: nucleon has structure • Quark model: Proton: uud Nutron: ddu • Strong interaction dynamics: QCD • Nuclear chromodynamics

  5. QuarkModel of Hadrons

  6. Quark Model of Hadrons

  7. Baryon’s Quark Structure

  8. 2.Bases of Nuclear QCD(1)QCD Lagrangian

  9. BRST Symmetry of QCD Lagrangian

  10. QCD Symmetries, Conservation Laws and Identities • *BRST symmetry and Ward-Takahashi(Slavnov-Taylor) identities • *Glabor symmetries and conservation laws • *QCD energy-momentum tensor • *QCD angular momentum tensor

  11. PQCD, Feynman Diagram

  12. Basic Properties ofQCD

  13. Effectivequark freedom

  14. 3. Nucleon and Nucleiat High-Energy Scale * Theory basesand approaches QCD asymptotic freedom QCD perturbation theory Parton distributions, GPD, form factors • Experiment measures: Deep in-elastic scattering (DIS) Processes

  15. (1) Lepton-nucleon DIS and parton model

  16. Quark partondistributions(1)

  17. Quark partondistributions(2)

  18. Quark parton distribution(3) • Transversity distribution and tensor charge

  19. (2) Parton model sum rules

  20. Parton sum rules and quark-gluon distributions in nucleon • Spin-independentparton sum rules Adler sum rule, Gross-Llewellyn sum rule, Gottfried sum rule(GRS), Momentum sum rule • Spin-dependentparton sum rules Bjorken sum rule, GDH sum rule, Generalized GDH sum rule, Quark transversity sum rule and tensor charge

  21. Bjorkensum rule

  22. (3) Nucleon structure fromQCD*Spin structure of nucleon

  23. Perturbative Evolutions of QCD angular momentum operators

  24. Perturbative Evolutions of QCD angular momentum operators

  25. Perturbative Evolutions of QCD angular momentum operators In asymptotic limit, the quark spin contribution is less then 0.36 for 3-flavor case

  26. Quark spin contribution to nucleon spin

  27. Quark spin contribution to nucleon spin The measurement results are given at Q^2 =5 Gev^2

  28. Effective theory analyses QCD at low-energy is equivalent to an effective quark theory

  29. Dynamically generated quark mass

  30. Axial charges of the proton andquark spin contribution to proton spin The current quark spin contribution is Which is exactly agreement with HERMES’s result.

  31. Tensor Charge of the Nucleon • QCD perturbative evolitions Note that gluons do not enter the evolution equation for transversity distributions due to the chiral-odd property. The evolution equation of tensor charge at leading order

  32. Theory estimates of tensor charges—model calculation results

  33. Effective theory analyses of tensor charges • Flavor singlet tensor charge of current quark contributions (in the asymptotic limit)

  34. Flavor singlet axial charge Flavor singlet tensor charge Isovector tensor charge Where m is dynamic mass of quark in the chiral limit

  35. Scale dependenceof tensor & axial charges

  36. Flavor singlet tensor charge(green line) and axial charge(red line) with scale change

  37. * Origin of nucleon mass

  38. * Origin of nucleon mass

  39. *Nucleon form factor

  40. Form Factors of the Nucleon • Perrturbative QCD analysis • Lattice QCD calculations • Parametrization model of GPD • Light-cone sum rules

  41. Parametrization model of GPD

  42. (4) High-energy nucleon-nucleon collision: Drell-Yan processes

  43. (5) Lepton-nuclei DIS: EMC effect

  44. 4. Nonperturbative QCD *Study aim * Quark and gluon color confinement * Dynamically chiral symmetry breaking * How to form nucleon(hadrons) * Hadron states * N-N interactions and nuclei *Study approaches

  45. QCDNonperturbative Approachs

  46. (a) Lattice QCD (1)

  47. Lattice QCD (2)

  48. (b) Dyson-Schwiner Equations (1)

  49. Dyson-Schwinger Equations(2)

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