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Accessing Orbital Angular Momentum Thru Pion Cloud

Accessing Orbital Angular Momentum Thru Pion Cloud. Itaru Nakagawa RIKEN/RBRC. Proton Spin +1/2. Proton Spin +1/2. Proton Spin +1/2. P-wave. Proton Spin +1/2. Proton Spin +1/2. Proton Spin +1/2. Proton Spin +1/2. P-wave. P-wave. Nucleon EM Form Factors. Nucleon EM Form Factors low Q.

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Accessing Orbital Angular Momentum Thru Pion Cloud

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  1. Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC

  2. Proton Spin +1/2

  3. Proton Spin +1/2

  4. Proton Spin +1/2 P-wave

  5. Proton Spin +1/2

  6. Proton Spin +1/2

  7. Proton Spin +1/2

  8. Proton Spin +1/2 P-wave P-wave

  9. Nucleon EM Form Factors

  10. Nucleon EM Form Factors low Q

  11. Nucleon EM Form Factors J.Friedrich & Th. Walcher, EPJA A17, 607 (2003) phenomenological fit : “smooth” part (sum of 2 dipoles) + “bump” (gaussian) 6 parameter fit for each FF pion cloud pronounced structure in all FF around Q  0.5 GeV/c

  12. Profounding Example of Pion Cloud Towell et al., Phys.Rev. D64 (2001) 052002 Sea Asymmetry from Drell-Yan Processes

  13. excess Extra dbar in proton g.s. Sea Quarks Carry Major Orbital Angular Momentum Component?

  14. Pion Model Prediction of Orbital Angular Momentum A.W. Thomas JLab

  15. Tony Thomas (3)

  16. Tony Thomas (1)

  17. Proton Spin +1/2 70% 20~25% 5~10%

  18. Tony Thomas (2)

  19. Tony Thomas (4)

  20. Tony Thomas

  21. Tony Thomas(6)

  22. Experiment Sensitive to p-Wave 

  23. Angular Distribution

  24. Pion Cloud Model

  25. + Probing Pion Cloud Calculation by T. Horn Virtual pion pickup Need : Q2 ~ 0.2 GeV/c2 Compass Atomic Electron Scattering

  26. Summary • pion cloud is one of the way to access Orbital Angular Momentum • There are (will be) many experiments which explore pion cloud • Not good idea yet to be done at J-PARC

  27. Elastic Scattering

  28. Cross Sections

  29. Valence Quark Interchange

  30. Concerns • So far, q-interchange model is only quantitative level  Qualitatively, regge pole) • Elastic  Soft Mechanism • Elastic  No Fragmentation? • Sensitivity to sea? p

  31. Relativistic Valence Quark rXiv:0709.4067ﾊ[hep-ph]

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