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Studies of the 3D Structure of the Nucleon at JLab

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Abstract

Studies of the 3D structure of the nucleon encoded in transverse momentum dependent distribution and fragmentation functions of partons and generalized parton distributions are among the key objectives of the JLab 12 GeV upgrade and the electron ion collider. Main challenges in extracting 3D partonic distributions from precision measurements of hard scattering processes include clear understanding of leading twist QCD fundamentals, higher twist effects, and also correlations of hadron production in target and current fragmentation regions. In this contribution we discuss some ongoing studies and future measurements of spin-orbit correlations at Jefferson Lab.

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References

  1. Airapetian, A., et al.: Observation of a single-spin azimuthal asymmetry in semi-inclusive pion electro-production. Phys. Rev. Lett. 84, 4047–4051 (2000). arXiv:hep-ex/9910062

  2. Airapetian, A., et al.: Single-spin azimuthal asymmetries in electroproduction of neutral pions in semi-inclusive deep-inelastic scattering. Phys. Rev. D 64, 097101 (2001). arXiv:hep-ex/0104005

    Article  ADS  Google Scholar 

  3. Airapetian, A., et al.: Single-spin asymmetries in semi-inclusive deep-inelastic scattering on a transversely polarized hydrogen target. Phys. Rev. Lett. 94, 012002 (2005). arXiv:hep-ex/0408013

    Article  ADS  Google Scholar 

  4. Airapetian, A., et al.: Beam-spin asymmetries in the azimuthal distribution of pion electroproduction. Phys. Lett. B 648, 164–170 (2007). arXiv:hep-ex/0612059

    Article  ADS  Google Scholar 

  5. Alexakhin, V.Y., et al.: First measurement of the transverse spin asymmetries of the deuteron in semi-inclusive deep inelastic scattering. Phys. Rev. Lett. 94, 202002 (2005). arXiv:hep-ex/0503002

    Article  ADS  Google Scholar 

  6. Ageev, E.S., et al.: A new measurement of the collins and sivers asymmetries on a transversely polarised deuteron target. Nucl. Phys. B765, 31–70 (2007). arXiv:hep-ex/0610068

    Article  ADS  Google Scholar 

  7. Alekseev, M.G., et al.: Azimuthal asymmetries of charged hadrons produced by high energy muons scattered off longitudinally polarised deuterons. Eur. Phys. J. C70, 39–49 (2010a). doi:10.1140/epjc/s10052-010-1461-9. arXiv:1007.1562

    Article  ADS  Google Scholar 

  8. Alekseev, M.G., et al.: Measurement of the Collins and Sivers asymmetries on transversely polarised protons. Phys. Lett. B 692, 240–246 (2010). doi:10.1016/j.physletb.2010.08.001. arXiv:1005.5609

    Article  ADS  Google Scholar 

  9. Adolph, C., et al.: Transverse spin effects in hadron-pair production from semi-inclusive deep inelastic scattering. Phys. Lett. B713, 10–16 (2012). doi:10.1016/j.physletb.2012.05.015. arXiv:1202.6150

    Article  ADS  Google Scholar 

  10. Avakian, H., et al.: Measurement of beam-spin asymmetries for deep inelastic pi+ electroproduction. Phys. Rev. D 69, 112004 (2004). arXiv:hep-ex/0301005

    Article  ADS  Google Scholar 

  11. Mkrtchyan, H., et al.: Transverse momentum dependence of semi-inclusive pion production. Phys. Lett. B 665, 20–25 (2008). arXiv:0709.3020 [hep-ph]

    Article  ADS  Google Scholar 

  12. Osipenko, M., et al.: Measurement of unpolarized semi-inclusive pi+ electroproduction off the proton. Phys. Rev. D 80, 032004 (2009). arXiv:0809.1153 [hep-ex]

    Article  ADS  Google Scholar 

  13. Avakian, H., et al.: Measurement of single and double spin asymmetries in deep inelastic pion electroproduction with a longitudinally polarized target. Phys. Rev. Lett. 105, 262,002 (2010). doi:10.1103/PhysRevLett.105.262002. arXiv:1003.4549 [hep-ex]

    Article  Google Scholar 

  14. Zhang, Y., et al.: Measurement of pretzelosity asymmetry of charged pion production in semi-inclusive deep inelastic scattering on a polarized \(^3\)He target. Phys. Rev. C 90(5), 055209 (2014). doi:10.1103/PhysRevC.90.055209. arXiv:1312.3047

    Article  ADS  Google Scholar 

  15. Zhao, Y.X., et al.: Single spin asymmetries in charged kaon production from semi-inclusive deep inelastic scattering on a transversely polarized \(^3\)He target. Phys. Rev. C 90(5), 055–201 (2014). doi:10.1103/PhysRevC.90.055201. arXiv:1404.7204

    Google Scholar 

  16. Adams, J., et al.: Cross sections and transverse single-spin asymmetries in forward neutral pion production from proton collisions at s**(1/2) = 200-GeV. Phys. Rev. Lett. 92, 171,801 (2004). arXiv:hep-ex/0310058

    Article  Google Scholar 

  17. Chiu, M.: Single spin transverse asymmetries of neutral pions at forward rapidities in s**(1/2) = 62.4-GeV polarized proton collisions in PHENIX. AIP Conf. Proc. 915, 539–542 (2007). arXiv:nucl-ex/0701031

    Article  ADS  Google Scholar 

  18. Arsene, I., et al.: Single transverse spin asymmetries of identified charged hadrons in polarized p+p collisions at \(\sqrt{s}\) = 62.4 GeV. Phys. Rev. Lett. 101, 042,001 (2008). arXiv:0801.1078 [nucl-ex]

    Article  Google Scholar 

  19. Abe, K., et al.: Measurement of azimuthal asymmetries in inclusive production of hadron pairs in e+ e- annihilation at Belle. Phys. Rev. Lett. 96, 232002 (2006). arXiv:hep-ex/0507063

    Article  ADS  Google Scholar 

  20. Vossen, A., et al.: Observation of the interference fragmentation function for charged pion pairs in \(e^+e^-\) annihilation near \(\sqrt{s}=10.58\) GeV. Phys. Rev. Lett. (2011). arXiv:1104.2425

  21. Lees, J.P., et al.: Measurement of Collins asymmetries in inclusive production of charged pion pairs in \(e^+e^-\) annihilation at BABAR. Phys. Rev. D 90(5), 052003 (2014). doi:10.1103/PhysRevD.90.052003. arXiv:1309.5278

    Article  ADS  Google Scholar 

  22. Airapetian, A., et al.: Effects of transversity in deep-inelastic scattering by polarized protons. Phys. Lett. B 693, 11–16 (2010). doi:10.1016/j.physletb.2010.08.012. arXiv:1006.4221

    Article  ADS  Google Scholar 

  23. Collins, J.C.: Fragmentation of transversely polarized quarks probed in transverse momentum distributions. Nucl. Phys. B396, 161–182 (1993). arXiv:hep-ph/9208213

    Article  ADS  Google Scholar 

  24. Sivers, D.W.: Hard scattering scaling laws for single spin production asymmetries. Phys. Rev. D 43, 261–263 (1991)

    Article  ADS  Google Scholar 

  25. Qian, X., et al.: Single spin asymmetries in charged pion production from semi-inclusive deep inelastic scattering on a transversely polarized \(^3\)He target. Phys. Rev. Lett. 107(072), 003 (2011). doi:10.1103/PhysRevLett.107.072003. arXiv:1106.0363

    Google Scholar 

  26. Huang, J., et al.: Beam-target double spin asymmetry A\_LT in charged pion production from deep inelastic scattering on a transversely polarized he-3 target at \(1.4<q^2>2.7 gev^2\). Phys. Rev. Lett. 108(052), 001 (2012). doi:10.1103/PhysRevLett.108.052001. arXiv:1108.0489

    Google Scholar 

  27. Efremov, A.V., Goeke, K., Schweitzer, P.: Transversity distribution in spin asymmetries in semi- inclusive dis and in the Drell–Yan process. Czech. J. Phys. 55, A189–A208 (2005). arXiv:hep-ph/0412420

    Article  Google Scholar 

  28. Pasquini, B., Cazzaniga, S., Boffi, S.: Transverse momentum dependent parton distributions in a light-cone quark model. Phys. Rev. D 78(034), 025 (2008). arXiv:0806.2298 [hep-ph]

    Google Scholar 

  29. Hagler, P., Musch, B.U., Negele, J.W., Schafer, A.: Intrinsic quark transverse momentum in the nucleon from lattice QCD. Europhys. Lett. 88(61), 001 (2009). arXiv:0908.1283 [hep-lat]

    Google Scholar 

  30. Aubert, J.J., et al.: Measurement of hadronic azimuthal distributions in deep inelastic muon proton scattering. Phys. Lett. B 130, 118 (1983)

    Article  ADS  Google Scholar 

  31. Arneodo, M., et al.: Measurement of hadron azimuthal distributions in deep inelastic muon proton scattering. Z. Phys. C 34, 277 (1987)

    Article  ADS  Google Scholar 

  32. Kafer, W.:Measurements of Unpolarized Azimuthal Asymmetries at COMPASS. Transversity 2008 Proceedings (2008). arXiv:0808.0114 [hep-ex]

  33. Giordano, F., Lamb, R.: Measurement of azimuthal asymmetries of the unpolarized cross section at HERMES. AIP Conf. Proc. 1149, 423–426 (2009). arXiv:0901.2438 [hep-ex]

    Article  ADS  Google Scholar 

  34. Gohn, W., Avakian, H., Joo, K., Ungaro, M.: Beam spin asymmetries from semi-inclusive pion electroproduction in deep inelastic scattering. AIP Conf. Proc. 1149, 461–464 (2009). doi:10.1063/1.3215689

    Article  ADS  Google Scholar 

  35. Lu, Z., Ma, B.Q.: Sivers function in light-cone quark model and azimuthal spin asymmetries in pion electroproduction. Nucl. Phys. A 741, 200–214 (2004). doi:10.1016/j.nuclphysa.2004.06.006. arXiv:hep-ph/0406171

    Article  ADS  Google Scholar 

  36. Anselmino, M., Efremov, A., Kotzinian, A., Parsamyan, B.: Transverse momentum dependence of the quark helicity distributions and the Cahn effect in double-spin asymmetry a(ll) in semi inclusive dis. Phys. Rev. D 74(074), 015 (2006). arXiv:hep-ph/0608048

    Google Scholar 

  37. Bourrely, C., Buccella, F., Soffer, J.: Semiinclusive DIS cross sections and spin asymmetries in the quantum statistical parton distributions approach. Phys. Rev. D83(074), 008 (2011). doi:10.1103/PhysRevD.83.074008. arXiv:1008.5322

    Google Scholar 

  38. Musch, B.U., Hagler, P., Negele, J.W., Schafer, A.: Exploring quark transverse momentum distributions with lattice QCD. Phys. Rev. D83(094), 507 (2011). doi:10.1103/PhysRevD.83.094507. arXiv:1011.1213

    Google Scholar 

  39. Accardi, A., Albacete, J., Anselmino, M., Armesto, N., Aschenauer, E., et al.: Electron Ion Collider: The Next QCD Frontier—Understanding the Glue that Binds Us All (2012). arXiv:1212.1701

  40. Avakian, H., et al.: Transverse spin effects in sidis at 12 GeV with transversely polarized target. JLab. Exp. E12, 06–015 (2008)

    Google Scholar 

  41. Pisano, S., et al.: Higher-twist collinear structure of the nucleon through di-hadron sidis on unpolarized hydrogen and deuterium. JLab. Exp. E12-06-112B/E12-09-008B (2014). http://www.jlab.org/exp_prog/proposals/14/E12-06-112B_E12-09-008B.pdf

  42. Jakob, R., Mulders, P.J., Rodrigues, J.: Modelling quark distribution and fragmentation functions. Nucl. Phys. A 626, 937–965 (1997). arXiv:hep-ph/9704335

    Article  ADS  Google Scholar 

  43. Ji, X.D.: Deeply-virtual compton scattering. Phys. Rev. D55, 7114–7125 (1997). arXiv:hep-ph/9609381

    ADS  Google Scholar 

  44. Radyushkin, A.V.: Scaling limit of deeply virtual compton scattering. Phys. Lett. B 380, 417–425 (1996). arXiv:hep-ph/9604317

    Article  ADS  Google Scholar 

  45. Ahmad, S., Goldstein, G.R., Liuti, S.: Nucleon tensor charge from exclusive \(\pi ^o\) electroproduction. Phys. Rev. D 79(054), 014 (2009). doi:10.1103/PhysRevD.79.054014. arXiv:0805.3568

    Google Scholar 

  46. Airapetian, A., et al.: Observation of the naive-T-odd Sivers effect in deep inelastic scattering. Phys. Rev. Lett. 103(152), 002 (2009). doi:10.1103/PhysRevLett.103.152002. arXiv:0906.3918

    Google Scholar 

  47. Airapetian, A., et al.: Multiplicities of charged pions and kaons from semi-inclusive deep-inelastic scattering by the proton and the deuteron. Phys. Rev. D87(074), 029 (2013). doi:10.1103/PhysRevD.87.074029. arXiv:1212.5407

    Google Scholar 

  48. Anselmino, M., Barone, V., Kotzinian, A.: SIDIS in the target fragmentation region: polarized and transverse momentum dependent fracture functions. Phys. Lett. B 699, 108–118 (2011). doi:10.1016/j.physletb.2011.03.067. arXiv:1102.4214

    Article  ADS  Google Scholar 

  49. Bacchetta, A., Radici, M.: Two-hadron semi-inclusive production including subleading twist. Phys. Rev. D 69(074), 026 (2004). doi:10.1103/PhysRevD.69.074026. arXiv:hep-ph/0311173

    Google Scholar 

  50. Burkardt, M.: Impact parameter space interpretation for generalized parton distributions. Int. J. Mod. Phys. A 18, 173–208 (2003). doi:10.1142/S0217751X03012370. arXiv:hep-ph/0207047

    Article  ADS  MATH  Google Scholar 

  51. Courtoy, A., Goldstein, G.R., Hernandez, J.O.G., Liuti, S., Rajan, A.: On the observability of the Quark orbital angular momentum distribution. Phys. Lett. B 731, 141–147 (2014). doi:10.1016/j.physletb.2014.02.017. arXiv:1310.5157

    Article  ADS  Google Scholar 

  52. Defurne, M., et al.: E00–110 experiment at Jefferson Lab Hall A: deeply virtual compton scattering off the proton at 6 GeV. Phys. Rev. C 92(5), 055202 (2015). doi:10.1103/PhysRevC.92.055202. arXiv:1504.05453

    Article  ADS  Google Scholar 

  53. Diehl, M.: Generalized parton distributions. Phys. Rep. 388, 41–277 (2003). doi:10.1016/j.physrep.2003.08.002. arXiv:hep-ph/0307382

    Article  ADS  Google Scholar 

  54. Frankfurt, L., Pobylitsa, P., Polyakov, M.V., Strikman, M.: Hard exclusive pseudoscalar meson electroproduction and spin structure of a nucleon. Phys. Rev. D60(014), 010 (1999). doi:10.1103/PhysRevD.60.014010. arXiv:hep-ph/9901429

    Google Scholar 

  55. Goeke, K., Polyakov, M.V., Vanderhaeghen, M.: Hard exclusive reactions and the structure of hadrons. Prog. Part Nucl. Phys. 47, 401–515 (2001). doi:10.1016/S0146-6410(01)00158-2

    Article  ADS  Google Scholar 

  56. Goloskokov, S.V., Kroll, P.: An attempt to understand exclusive pi+ electroproduction. Eur. Phys. J. C65, 137–151 (2010). doi:10.1140/epjc/s10052-009-1178-9. arXiv:0906.0460

    Article  ADS  Google Scholar 

  57. Goloskokov, S.V., Kroll, P.: Transversity in hard exclusive electroproduction of pseudoscalar mesons. Eur. Phys. J. A 47, 112 (2011). doi:10.1140/epja/i2011-11112-6. arXiv:1106.4897

    Article  ADS  Google Scholar 

  58. Jaffe, R.L., Ji, X.: Chiral odd parton distributions and Drell–Yan processes. Nucl. Phys. B375, 527–560 (1992)

    Article  ADS  Google Scholar 

  59. Jo, H.S., et al.: Cross sections for the exclusive photon electroproduction on the proton and generalized parton distributions. Phys. Rev. Lett. 115(21), 212003 (2015). doi:10.1103/PhysRevLett.115.212003. arXiv:1504.02009

    Article  ADS  Google Scholar 

  60. Kim, A., et al.: Target and Double Spin Asymmetries of Deeply Virtual \(\pi ^0\) Production with a Longitudinally Polarized Proton Target and CLAS. Submitted to PRL (2015). arXiv:1511.03338

  61. Pisano, S., et al.: Single and double spin asymmetries for deeply virtual Compton scattering measured with CLAS and a longitudinally polarized proton target. Phys. Rev. D 91(5), 052014 (2015). doi:10.1103/PhysRevD.91.052014. arXiv:1501.07052

    Article  ADS  Google Scholar 

  62. Kim A, et al.: Studies of chiral-odd gpds using the clas12 detector. LOI-12-14-003 (2014)

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Avakian, H. Studies of the 3D Structure of the Nucleon at JLab. Few-Body Syst 57, 607–613 (2016). https://doi.org/10.1007/s00601-016-1118-9

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