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Spin orbit correlations and the structure of the nucleon

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La Rivista del Nuovo Cimento Aims and scope

Summary

Extensive experimental measurements of spin and azimuthal asymmetries in various processes have stimulated theoretical interest and progress in the studies of the nucleon structure. The interpretation of experimental data in terms of parton distribution functions, generalized to describe transverse momentum and spatial parton distributions, is one of the main remaining challenges of modern nuclear physics. These new parton distribution and fragmentation functions encode the motion and the position of partons and are often referred to as three-dimensional distributions describing the three-dimensional (3D) structure of the nucleon. Understanding of the production mechanism and performing phenomenological studies compatible with factorization theorems using minimal model assumptions are goals of the analysis of the experimental data. HERMES and COMPASS Collaborations and experiments at Jefferson Lab have collected a wealth of polarized and unpolarized Semi-Inclusive Deep Inelastic Scattering (SIDIS) data. These data play a crucial role in current understanding of nucleon spin phenomena as they cover a broad kinematical range. The Jefferson Lab 12 GeV upgrade data on polarized and unpolarized SIDIS will have a remarkably higher precision at large parton fractional momentum x compared to the existing data. We argue that both experimental and phenomenological communities will benefit from the development of a comprehensive extraction framework that will facilitate the extraction of the 3D nucleon structure, help understand various assumptions in extraction and data analysis, help to insure the model independence of the experimental data and validate the extracted functions. In this review we present the latest developments in the field of the spin asymmetries with emphasis on observables beyond the leading twist in SIDIS, indispensable for studies of the complex 3D nucleon structure, and discuss different components involved in precision extraction of the 3D partonic distribution and fragmentation functions.

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References

  1. Prokudin A., Phys. Part. Nucl., 44 (2013) 947.

    Article  Google Scholar 

  2. Dudek J. et al., Eur. Phys. J. A, 48 (2012) 187.

    Article  ADS  Google Scholar 

  3. Accardi A. et al., Eur. Phys. J. A, 52 (2016) 268.

    Article  ADS  Google Scholar 

  4. Aschenauer E.-C. et al., Eur. Phys. J. A, 53 (2017) 71.

    Article  ADS  Google Scholar 

  5. Abeyratne S. et al., arXiv:1209.0757 (2012).

  6. Accardi A., Guzey V., Prokudin A. and Weiss C., Eur. Phys. J. A, 48 (2012) 92.

    Article  ADS  Google Scholar 

  7. Anselmino M. et al., Eur. Phys. J. A, 47 (2011) 35.

    Article  ADS  Google Scholar 

  8. Burkardt M., Phys. Rev. D, 62 (2000) 071503 (Erratum: Phys. Rev. D, 66 (2002) 119903).

    Article  ADS  Google Scholar 

  9. Kotzinian A., Nucl. Phys. B, 441 (1995) 234.

    Article  ADS  Google Scholar 

  10. Mulders P. J. and Tangerman R. D., Nucl. Phys. B, 461 (1996) 197.

    Article  ADS  Google Scholar 

  11. Bacchetta A. et al., JHEP, 02 (2007) 093.

    Article  ADS  Google Scholar 

  12. Metz A. and Vossen A., Prog. Part. Nucl. Phys., 91 (2016) 136.

    Article  ADS  Google Scholar 

  13. Jaffe R. L., Spin, twist and hadron structure in deep inelastic processes, in The spin structure of the nucleon. Proceedings of the International School of Nucleon Structure, 1st Course, Erice, Italy, August 3–10, 1995 (World Scientific) 1996, pp. 42–129.

  14. Jaffe R. L., Comm. Nucl. Part. Phys., 19 (1990) 239.

    Google Scholar 

  15. Gamberg L. P., Hwang D. S., Metz A. and Schlegel M., Phys. Lett. B, 639 (2006) 508.

    Article  ADS  Google Scholar 

  16. Bacchetta A., Boer D., Diehl M. and Mulders P. J., JHEP, 08 (2008) 023.

    Article  ADS  Google Scholar 

  17. Chen K.-b., Wei S.-y. and Liang Z.-t., Front. Phys. (Beijing), 10 (2015) 101204.

    Article  ADS  Google Scholar 

  18. Boer D. and Mulders P. J., Phys. Rev. D, 57 (1998) 5780.

    Article  ADS  Google Scholar 

  19. Collins J. C., Nucl. Phys. B, 396 (1993) 161.

    Article  ADS  Google Scholar 

  20. Alberg M. and Miller G. A., arXiv:1712.05814 (2017).

  21. Amaudruz P. et al., Phys. Rev. Lett., 66 (1991) 2712.

    Article  ADS  Google Scholar 

  22. Garvey G. T. and Peng J.-C., Prog. Part. Nucl. Phys., 47 (2001) 203.

    Article  ADS  Google Scholar 

  23. Nagai K., JPS Conf. Proc., 13 (2017) 020051.

    Google Scholar 

  24. Collins J., Foundations of perturbative QCD (Cambridge University Press) 2013. URL http://www.cambridge.org/de/knowledge/isbn/item5756723

  25. Cahn R. N., Phys. Lett. B, 78 (1978) 269.

    Article  ADS  Google Scholar 

  26. Berger E. L., Z. Phys. C, 4 (1980) 289.

    Article  ADS  Google Scholar 

  27. Akushevich I., Shumeiko N. and Soroko A., Eur. Phys. J. C, 10 (1999) 681.

    Article  ADS  Google Scholar 

  28. Akushevich I., Ilyichev A. and Osipenko M., Phys. Lett. B, 672 (2009) 35.

    Article  ADS  Google Scholar 

  29. Akushevich I., Bottcher H. and Ryckbosch D., RADGEN 1.0: Monte Carlo generator for radiative events in DIS on polarized and unpolarized targets, in Proceedings of the Workshop Monte Carlo generators for HERA physics, Hamburg, Germany, 1998–1999 (DESY) 1998, pp. 554–565. URL http://alice.cern.ch/format/showfull?sysnb=0317130

  30. Sjostrand T., Mrenna S. and Skands P. Z., JHEP, 0605 (2006) 026.

    Article  ADS  Google Scholar 

  31. Ingelman G., Edin A. and Rathsman J., Comput. Phys. Commun., 101 (1997) 108.

    Article  ADS  Google Scholar 

  32. Mankiewicz L., Schafer A. and Veltri M., Comput. Phys. Commun., 71 (1992) 305.

    Article  ADS  Google Scholar 

  33. Pilat F. et al., JLEIC Current Design Parameters Short Description (2017).

  34. Augsten K. et al., SPSC-P-340-ADD-1, CERN-SPSC-2017-034 (2017).

  35. Ent R. et al., JLab Experiment E12-06-104 (2006).

  36. Ent R. et al., JLab Experiment E12-09-017 (2009).

  37. Ent R. et al., JLab Experiment E12-09-017 (2013).

  38. Cates G., Cisbani E., Franklin G., Puckett A. and B. W., JLab Experiment E12-09-018 (2009).

  39. Gao H., Qian X. and Peng J.-C., JLab Experiment E12-11-007 (2008).

  40. Chen J.-P., Huang J., Qiang Y. and Wenbiao Y., JLab Experiment E12-11-007 (2008).

  41. Avakian H. et al., JLab Experiment E12-06-112 (2006).

  42. Avakian H. et al., JLab Experiment E12-07-107 (2007).

  43. Avakian H. et al., JLab Experiment E12-09-008 (2009).

  44. Avakian H. et al., JLab Experiment E12-09-009 (2009).

  45. Avakian H., JLab LoI LOI-12-14-004 (2014).

  46. Brooks W. and Kuhn S., JLab Experiment E12-14-001 (2014).

  47. Sivers D. W., Phys. Rev. D, 41 (1990) 83.

    Article  ADS  Google Scholar 

  48. Boglione M. and Prokudin A., Eur. Phys. J. A, 52 (2016) 154.

    Article  ADS  Google Scholar 

  49. Ji X., Ma J. and Yuan F., Phys. Rev. D, 71 (2005) 034005.

    Article  ADS  Google Scholar 

  50. Anselmino M., Boglione M., Gonzalez H. J., Melis S. and Prokudin A., JHEP, 1404 (2014) 005.

    Article  ADS  Google Scholar 

  51. Signori A., Bacchetta A., Radici M. and Schnell G., JHEP, 1311 (2013) 194.

    Article  ADS  Google Scholar 

  52. Pasquini B., Cazzaniga S. and Boffi S., Phys. Rev. D, 78 (2008) 034025.

    Article  ADS  Google Scholar 

  53. Lu Z. and Ma B.-Q., Nucl. Phys. A, 741 (2004) 200.

    Article  ADS  Google Scholar 

  54. Anselmino M., Efremov A., Kotzinian A. and Parsamyan B., Phys. Rev. D, 74 (2006) 074015.

    Article  ADS  Google Scholar 

  55. Bourrely C., Buccella F. and Soffer J., Phys. Rev. D, 83 (2011) 074008.

    Article  ADS  Google Scholar 

  56. Hagler P., Musch B. U., Negele J. W. and Schafer A., Europhys. Lett., 88 (2009) 61001.

    Article  ADS  Google Scholar 

  57. Musch B. U., Hagler P., Negele J. W. and Schafer A., Phys. Rev. D, 83 (2011) 094507.

    Article  ADS  Google Scholar 

  58. Wakamatsu M., Phys. Rev. D, 79 (2009) 094028.

    Article  ADS  Google Scholar 

  59. Schweitzer P., Strikman M. and Weiss C., JHEP, 1301 (2013) 163.

    Article  ADS  Google Scholar 

  60. Bacchetta A., Delcarro F., Pisano C., Radici M. and Signori A., JHEP, 06 (2017) 081.

    Article  ADS  Google Scholar 

  61. Matevosyan H. H., Bentz W., Cloet I. C. and Thomas A. W., Phys. Rev. D, 85 (2012) 014021.

    Article  ADS  Google Scholar 

  62. Mkrtchyan H. et al., Phys. Lett. B, 665 (2008) 20.

    Article  ADS  Google Scholar 

  63. Airapetian A. et al., Phys. Rev. D, 87 (2013) 074029.

    Article  ADS  Google Scholar 

  64. Adolph C. et al., Eur. Phys. J. C, 73 (2013) 2531.

    Article  ADS  Google Scholar 

  65. Aghasyan M. et al., Phys. Rev. D, 97 (2018) 032006.

    Article  ADS  Google Scholar 

  66. Aghasyan M., Avakian H., De Sanctis E., Gamberg L., Mirazita M., Musch B., Prokudin A. and Rossi P., JHEP, 03 (2015) 039.

    Article  ADS  Google Scholar 

  67. Akhunzyanov R. et al., arXiv:1802.00584 (2018).

  68. Asaturyan R., Ent R., Mkrtchyan H., Navasardyan T. and Tadevosyan V. et al., Phys. Rev. C, 85 (2012) 015202.

    Article  ADS  Google Scholar 

  69. Airapetian A. et al., Phys. Rev. D, 87 (2013) 012010.

    Article  ADS  Google Scholar 

  70. Harrison N., Avakian H. and Joo K., PoS, DIS2016 (2016) 215.

  71. Airapetian A. et al., Phys. Rev. Lett., 84 (2000) 4047.

    Article  ADS  Google Scholar 

  72. Kotzinian A. M. and Mulders P. J., Phys. Rev. D, 54 (1996) 1229.

    Article  ADS  Google Scholar 

  73. Tangerman R. D. and Mulders P. J., Phys. Rev. D, 51 (1995) 3357.

    Article  ADS  Google Scholar 

  74. Brodsky S. J. and Yuan F., Phys. Rev. D, 74 (2006) 094018.

    Article  ADS  Google Scholar 

  75. Pobylitsa P. V., hep-ph/0301236 (2003).

  76. Gamberg L. P., Goldstein G. R. and Schlegel M., Phys. Rev. D, 77 (2008) 094016.

    Article  ADS  Google Scholar 

  77. Efremov A. V., Goeke K. and Schweitzer P., Phys. Rev. D, 67 (2003) 114014.

    Article  ADS  Google Scholar 

  78. Avakian H. et al., Phys. Rev. Lett., 105 (2010) 262002.

    Article  ADS  Google Scholar 

  79. Parsamyan B. (for the COMPASS Collaboration), PoS, DIS2017 (2018) 259.

  80. Parsamyan B. (for the COMPASS Collaboration), PoS, QCDEV2017 (2018) 042.

  81. Avakian H. et al., Phys. Rev. D, 77 (2008) 014023.

    Article  ADS  Google Scholar 

  82. Bastami S. et al., hep-ph/1807.10606 (2018).

  83. Jawalkar S. et al., Phys. Lett. B, 782 (2018) 662.

    Article  ADS  Google Scholar 

  84. Airapetian A. et al., Phys. Rev. D, 64 (2001) 097101.

    Article  ADS  Google Scholar 

  85. Airapetian A. et al., Phys. Lett. B, 562 (2003) 182.

    Article  ADS  Google Scholar 

  86. Airapetian A. et al., Phys. Lett. B, 693 (2010) 11.

    Article  ADS  Google Scholar 

  87. Alexakhin V. Y. et al., Phys. Rev. Lett., 94 (2005) 202002.

    Article  ADS  Google Scholar 

  88. Ageev E. S. et al., Nucl. Phys. B, 765 (2007) 31.

    Article  ADS  Google Scholar 

  89. Alekseev M. et al., Phys. Lett. B, 673 (2009) 127.

    Article  ADS  Google Scholar 

  90. Adolph C. et al., Phys. Lett. B, 717 (2012) 376.

    Article  ADS  Google Scholar 

  91. Adolph C. et al., Phys. Lett. B, 744 (2015) 250.

    Article  ADS  Google Scholar 

  92. Seidl R. et al., Phys. Rev. D, 78 (2008) 032011 (Erratum: Phys. Rev. D, 86 (2012) 039905).

    Article  ADS  Google Scholar 

  93. Anselmino M., Boglione M., D’Alesio U., Kotzinian A., Murgia F. et al., Phys. Rev. D, 75 (2007) 054032.

    Article  ADS  Google Scholar 

  94. Brodsky S. J., Hwang D. S. and Schmidt I., Phys. Lett. B, 530 (2002) 99.

    Article  ADS  Google Scholar 

  95. Collins J. C., Phys. Lett. B, 536 (2002) 43.

    Article  ADS  Google Scholar 

  96. Airapetian A. et al., Phys. Rev. Lett., 94 (2005) 012002.

    Article  ADS  Google Scholar 

  97. Alekseev M. G. et al., Phys. Lett. B, 692 (2010) 240.

    Article  ADS  Google Scholar 

  98. Alekseev M. G. et al., Eur. Phys. J. C, 70 (2010) 39.

    Article  ADS  Google Scholar 

  99. Adolph C. et al., Phys. Lett. B, 713 (2012) 10.

    Article  ADS  Google Scholar 

  100. Adolph C. et al., Phys. Lett. B, 717 (2012) 383.

    Article  ADS  Google Scholar 

  101. Alexeev M. G. et al. (for the COMPASS Collaboration), arXiv:1809.02936 [hep-ex] (2018).

  102. Airapetian A. et al., Phys. Rev. Lett., 103 (2009) 152002.

    Article  ADS  Google Scholar 

  103. Anselmino M., Boglione M. and Melis S., Phys. Rev. D, 86 (2012) 014028.

    Article  ADS  Google Scholar 

  104. Aybat S. M., Prokudin A. and Rogers T. C., Phys. Rev. Lett., 108 (2012) 242003.

    Article  ADS  Google Scholar 

  105. Echevarria M. G., Idilbi A., Kang Z.-B. and Vitev I., Phys. Rev. D, 89 (2014) 074013.

    Article  ADS  Google Scholar 

  106. Aybat S. M., Collins J. C., Qiu J.-W. and Rogers T. C., Phys. Rev. D, 85 (2012) 034043.

    Article  ADS  Google Scholar 

  107. Adolph C. et al., Phys. Lett. B, 770 (2017) 138.

    Article  ADS  Google Scholar 

  108. Parsamyan B. (for the COMPASS Collaboration), Int. J. Mod. Phys. Conf. Ser., 40 (2016) 1660029.

    Article  Google Scholar 

  109. Parsamyan B. (for the COMPASS Collaboration), PoS, QCDEV2015 (2015) 007.

  110. Aybat S. M. and Rogers T. C., Phys. Rev. D, 83 (2011) 114042.

    Article  ADS  Google Scholar 

  111. Adamczyk L. et al., Phys. Rev. Lett., 116 (2016) 132301.

    Article  ADS  Google Scholar 

  112. Aghasyan M. et al., Phys. Rev. Lett., 119 (2017) 112002.

    Article  ADS  Google Scholar 

  113. Parsamyan B. (for the COMPASS Collaboration), PoS, DIS2017 (2018) 243.

  114. Qian X. et al., Phys. Rev. Lett., 107 (2011) 072003.

    Article  ADS  Google Scholar 

  115. Huang J. et al., Phys. Rev. Lett., 108 (2012) 052001.

    Article  ADS  Google Scholar 

  116. Zhao Y. X. et al., Phys. Rev. C, 90 (2014) 055201.

    Article  ADS  Google Scholar 

  117. Zhang Y. et al., Phys. Rev. C, 90 (2014) 055209.

    Article  ADS  Google Scholar 

  118. Zhao Y. X. et al., Phys. Rev. C, 92 (2015) 015207.

    Article  ADS  Google Scholar 

  119. Matevosyan H. H., Kotzinian A., Aschenauer E.-C., Avakian H. and Thomas A. W., Phys. Rev. D, 92 (2015) 054028.

    Article  ADS  Google Scholar 

  120. Ji X. and Yuan F., Phys. Lett. B, 543 (2002) 66.

    Article  ADS  Google Scholar 

  121. Brodsky S. J., Hwang D. S. and Schmidt I., Nucl. Phys. B, 642 (2002) 344.

    Article  ADS  Google Scholar 

  122. Bacchetta A., Schaefer A. and Yang J.-J., Phys. Lett. B, 578 (2004) 109.

    Article  ADS  Google Scholar 

  123. Gamberg L. P., Goldstein G. R. and Oganessyan K. A., Phys. Rev. D, 67 (2003) 071504.

    Article  ADS  Google Scholar 

  124. Meissner S., Metz A. and Goeke K., Phys. Rev. D, 76 (2007) 034002.

    Article  ADS  Google Scholar 

  125. Bacchetta A., Gamberg L. P., Goldstein G. R. and Mukherjee A., Phys. Lett. B, 659 (2008) 234.

    Article  ADS  Google Scholar 

  126. Bacchetta A., Conti F. and Radici M., Phys. Rev. D, 78 (2008) 074010.

    Article  ADS  Google Scholar 

  127. Gamberg L. P., Mukherjee A. and Mulders P. J., Phys. Rev. D, 77 (2008) 114026.

    Article  ADS  Google Scholar 

  128. Schweitzer P., Teckentrup T. and Metz A., Phys. Rev. D, 81 (2010) 094019.

    Article  ADS  Google Scholar 

  129. Avakian H., Efremov A. V., Schweitzer P. and Yuan F., Phys. Rev. D, 81 (2010) 074035.

    Article  ADS  Google Scholar 

  130. Boffi S. et al., Phys. Rev. D, 79 (2009) 094012.

    Article  ADS  Google Scholar 

  131. Pasquini B. and Yuan F., Phys. Rev. D, 81 (2010) 114013.

    Article  ADS  Google Scholar 

  132. Pasquini B. and Schweitzer P., Phys. Rev. D, 83 (2011) 114044.

    Article  ADS  Google Scholar 

  133. Pasquini B. and Schweitzer P., Phys. Rev. D, 90 (2014) 014050.

    Article  ADS  Google Scholar 

  134. Musch B. U., Transverse momentum distributions inside the nucleon from lattice QCD, Ph.D. thesis, Munich, Tech. U. (May 2009).

  135. Airapetian A. et al. (for the HERMES Collaboration), arXiv:1810.07054 [hep-ex] (2018).

  136. Kotzinian A., Parsamyan B. and Prokudin A., Phys. Rev. D, 73 (2006) 114017.

    Article  ADS  Google Scholar 

  137. Pappalardo L. L., Nuovo Cimento B, 125 (2010) 51.

    Google Scholar 

  138. Avakian H. et al., JLab Experiment C12-11-111 (2011).

  139. Aubert J. J. et al., Phys. Lett. B, 130 (1983) 118.

    Article  ADS  Google Scholar 

  140. Arneodo M. et al., Z. Phys. C, 34 (1987) 277.

    Article  ADS  Google Scholar 

  141. Avakian H., Nucl. Phys. Proc. Suppl., 79 (1999) 523.

    Article  ADS  Google Scholar 

  142. Avakian H. et al., Phys. Rev. D, 69 (2004) 112004.

    Article  ADS  Google Scholar 

  143. Aghasyan M., Avakian H., Rossi P. and De Sanctis E. et al., Phys. Lett. B, 704 (2011) 397.

    Article  ADS  Google Scholar 

  144. Gohn W. et al., Phys. Rev. D, 89 (2014) 072011.

    Article  ADS  Google Scholar 

  145. Georgi H. and Politzer H. D., Phys. Rev. Lett., 40 (1978) 3.

    Article  ADS  Google Scholar 

  146. Burkardt M., Spin-Orbit Correlations, presented at Transversity 2008: 2nd International Workshop on Transverse Polarization Phenomena in Hard Processes Ferrara, Italy, May 28–31, 2008 (World Scientific) 2008.

  147. Wandzura S. and Wilczek F., Phys. Lett. B, 72 (1977) 195.

    Article  ADS  Google Scholar 

  148. De Sanctis E., Nowak W. D. and Oganesian K. A., Phys. Lett. B, 483 (2000) 69.

    Article  ADS  Google Scholar 

  149. Ma B.-Q., Schmidt I. and Yang J.-J., Phys. Rev. D, 63 (2001) 037501.

    Article  ADS  Google Scholar 

  150. Efremov A. V., Goeke K. and Schweitzer P., Phys. Lett. B, 522 (2001) 37.

    Article  ADS  Google Scholar 

  151. Accardi A., Bacchetta A., Melnitchouk W. and Schlegel M., JHEP, 11 (2009) 093.

    Article  ADS  Google Scholar 

  152. Adams M. R. et al., Phys. Rev. D, 48 (1993) 5057.

    Article  ADS  Google Scholar 

  153. Breitweg J. et al., Phys. Lett. B, 481 (2000) 199.

    Article  ADS  Google Scholar 

  154. Osipenko M. et al., Phys. Rev. D, 80 (2009) 032004.

    Article  ADS  Google Scholar 

  155. Adolph C. et al., Nucl. Phys. B, 886 (2014) 1046.

    Article  ADS  Google Scholar 

  156. Boglione M., Melis S. and Prokudin A., Phys. Rev. D, 84 (2011) 034033.

    Article  ADS  Google Scholar 

  157. Airapetian A. et al., Phys. Lett. B, 622 (2005) 14.

    Article  ADS  Google Scholar 

  158. Mulders P. J. and Rodrigues J., Quark distribution functions in a diquark spectator model, in Proceedings of the 3rd Workshop “Diquarks 3”, Torino, Italy, October 28–30, 1996 (World Scientific, Singapore) 1998, pp. 208–217.

    Google Scholar 

  159. Bacchetta A., Mulders P. J. and Pijlman F., Phys. Lett. B, 595 (2004) 309.

    Article  ADS  Google Scholar 

  160. Jaffe R. L. and Ji X.-D., Nucl. Phys. B, 375 (1992) 527.

    Article  ADS  Google Scholar 

  161. Signal A. I., Nucl. Phys. B, 497 (1997) 415.

    Article  ADS  Google Scholar 

  162. Jakob R., Mulders P. J. and Rodrigues J., Nucl. Phys. A, 626 (1997) 937.

    Article  ADS  Google Scholar 

  163. Schweitzer P., Phys. Rev. D, 67 (2003) 114010.

    Article  ADS  Google Scholar 

  164. Wakamatsu M. and Ohnishi Y., Phys. Rev. D, 67 (2003) 114011.

    Article  ADS  Google Scholar 

  165. Lorce C., Pasquini B. and Schweitzer P., JHEP, 01 (2015) 103.

    Article  ADS  Google Scholar 

  166. Lu Z. and Schmidt I., Phys. Lett. B, 747 (2015) 357.

    Article  ADS  Google Scholar 

  167. Jaffe R. L., Nucl. Phys. B, 229 (1983) 205.

    Article  ADS  Google Scholar 

  168. Balla J., Polyakov M. V. and Weiss C., Nucl. Phys. B, 510 (1998) 327.

    Article  ADS  Google Scholar 

  169. Dressler B. and Polyakov M. V., Phys. Rev. D, 61 (2000) 097501.

    Article  ADS  Google Scholar 

  170. Wakamatsu M., Phys. Lett. B, 509 (2001) 59.

    Article  ADS  Google Scholar 

  171. Ohnishi Y. and Wakamatsu M., Phys. Rev. D, 69 (2004) 114002.

    Article  ADS  Google Scholar 

  172. Cebulla C., Ossmann J., Schweitzer P. and Urbano D., Acta Phys. Pol. B, 39 (2008) 609.

    ADS  Google Scholar 

  173. Burkardt M. and Koike Y., Nucl. Phys. B, 632 (2002) 311.

    Article  ADS  Google Scholar 

  174. Mukherjee A., Phys. Lett. B, 687 (2010) 180.

    Article  ADS  Google Scholar 

  175. Schweitzer P. et al., Phys. Rev. D, 64 (2001) 034013.

    Article  ADS  Google Scholar 

  176. Tangerman R. D. and Mulders P. J., hep-ph/9408305 (1994).

  177. Metz A., Schweitzer P. and Teckentrup T., Phys. Lett. B, 680 (2009) 141.

    Article  ADS  Google Scholar 

  178. Pasquini B. and Rodini S., arXiv:1806.10932 (2018).

  179. Musch B., Hagler P., Engelhardt M., Negele J. and Schafer A., Phys. Rev. D, 85 (2012) 094510.

    Article  ADS  Google Scholar 

  180. Engelhardt M., Hagler P., Musch B., Negele J. and Schafer A., Phys. Rev. D, 93 (2016) 054501.

    Article  ADS  Google Scholar 

  181. Engelhardt M., private communications (2018).

  182. Kotsinian A. M., Oganesian K. A., Avakian H. and De Sanctis E., Nucl. Phys. A, 666 (2000) 290.

    Article  ADS  Google Scholar 

  183. Boglione M. and Mulders P. J., Phys. Lett. B, 478 (2000) 114.

    Article  ADS  Google Scholar 

  184. Efremov A. V. et al., Phys. Lett. B, 478 (2000) 94.

    Article  ADS  Google Scholar 

  185. Anselmino M. and Murgia F., Phys. Lett. B, 483 (2000) 74.

    Article  ADS  Google Scholar 

  186. Oganessian K. A., Bianchi N., De Sanctis E. and Nowak W. D., Nucl. Phys. A, 689 (2001) 784.

    Article  ADS  Google Scholar 

  187. Efremov A. V., Goeke K. and Schweitzer P., Eur. Phys. J. C, 24 (2002) 407.

    Article  Google Scholar 

  188. Ma B.-Q., Schmidt I. and Yang J.-J., Phys. Rev. D, 65 (2002) 034010.

    Article  ADS  Google Scholar 

  189. Bacchetta A., Kundu R., Metz A. and Mulders P. J., Phys. Rev. D, 65 (2002) 094021.

    Article  ADS  Google Scholar 

  190. Efremov A. V., Goeke K. and Schweitzer P., Nucl. Phys. A, 711 (2002) 84.

    Article  ADS  Google Scholar 

  191. Ma B.-Q., Schmidt I. and Yang J.-J., Phys. Rev. D, 66 (2002) 094001.

    Article  ADS  Google Scholar 

  192. Efremov A. V., Goeke K. and Schweitzer P., Phys. Lett. B, 568 (2003) 63.

    Article  ADS  Google Scholar 

  193. Efremov A. V., Goeke K. and Schweitzer P., Eur. Phys. J. C, 32 (2003) 337.

    Article  ADS  Google Scholar 

  194. Schweitzer P. and Bacchetta A., Nucl. Phys. A, 732 (2004) 106.

    Article  ADS  Google Scholar 

  195. Efremov A. V., Goeke K. and Schweitzer P., Czech. J. Phys., 55 (2005) A189.

    Article  Google Scholar 

  196. Afanasev A. and Carlson C. E., Single spin beam asymmetry in semiexclusive deep inelastic electroproduction, presented at Intersections of particle and nuclear physics. Proceedings of the 8th Conference CIPANP 2003, New York, USA, May 19–24, 2003 URL http://www1.jlab.org/Ul/publications/view_pub.cfm?pub_id=4996

  197. Yuan F., Phys. Lett. B, 589 (2004) 28.

    Article  ADS  Google Scholar 

  198. Metz A. and Schlegel M., Eur. Phys. J. A, 22 (2004) 489.

    Article  ADS  Google Scholar 

  199. Ji X.-D., Phys. Rev. D, 49 (1994) 114.

    Article  ADS  Google Scholar 

  200. Levelt J. and Mulders P. J., Phys. Lett. B, 338 (1994) 357.

    Article  ADS  Google Scholar 

  201. Oganesian K. A., Avakian H. R., Bianchi N. and Di Nezza P., Eur. Phys. J. C, 5 (1998) 681.

    Article  ADS  Google Scholar 

  202. Parsamyan B. (for the COMPASS Collaboration), Eur. Phys. J. ST, 162 (2008) 89.

    Article  Google Scholar 

  203. Airapetian A. et al., Phys. Lett. B, 648 (2007) 164.

    Article  ADS  Google Scholar 

  204. Marukyan H., J. Phys. Conf. Ser., 938 (2017) 012011.

    Article  Google Scholar 

  205. Mao W. and Lu Z., Phys. Rev. D, 87 (2013) 014012.

    Article  ADS  Google Scholar 

  206. Lu Z. and Mao W., Int. J. Mod. Phys. Conf. Ser., 40 (2016) 1660045.

    Article  Google Scholar 

  207. Oganessian K. A., Avakian H. R., Bianchi N. and Kotzinian A. M., Sin(phi) azimuthal asymmetry in semiinclusive electroproduction on longitudinally polarized nucleon, The structure of baryons. Proceedings of the 8th International Conference “Baryons’98”, Bonn, Germany, September 22–26, 1998 (World Scientific Pub Co Inc) 1998 edition, pp. 320–324.

  208. Avakian H. et al., JLab Experiment E12-06-015 (2008).

  209. Mao W., Wang X., Du X., Lu Z. and Ma B.-Q., Nucl. Phys. A, 945 (2016) 153.

    Article  ADS  Google Scholar 

  210. Afanasev A., Carlson C. E. and Wahlquist C., Phys. Lett. B, 398 (1997) 393.

    Article  ADS  Google Scholar 

  211. Abe K. et al., Phys. Rev. Lett., 96 (2006) 232002.

    Article  ADS  Google Scholar 

  212. Lees J. P. et al., Phys. Rev. D, 90 (2014) 052003.

    Article  ADS  Google Scholar 

  213. Ablikim M. et al., Phys. Rev. Lett., 116 (2016) 042001.

    Article  ADS  Google Scholar 

  214. Defurne M. et al., Phys. Rev. Lett., 117 (2016) 262001.

    Article  ADS  Google Scholar 

  215. Artru X. and Mekhfi M., Z. Phys. C, 45 (1990) 669.

    Article  ADS  Google Scholar 

  216. Radici M. and Bacchetta A., Phys. Rev. Lett., 120 (2018) 192001.

    Article  ADS  Google Scholar 

  217. Boer D., Jakob R. and Mulders P. J., Nucl. Phys. B, 504 (1997) 345.

    Article  ADS  Google Scholar 

  218. Lees J. P. et al., Phys. Rev. D, 90 (2014) 052003.

    Article  ADS  Google Scholar 

  219. Collins J. C. and Soper D. E., Nucl. Phys. B, 193 (1981) 381.

    Article  ADS  Google Scholar 

  220. Boer D., Nucl. Phys. B, 806 (2009) 23.

    Article  ADS  Google Scholar 

  221. Boer D., Gamberg L., Musch B. and Prokudin A., JHEP, 1110 (2011) 021.

    Article  ADS  Google Scholar 

  222. Kang Z.-B., Prokudin A., Sun P. and Yuan F., Phys. Rev. D, 91 (2015) 071501.

    Article  ADS  Google Scholar 

  223. Kang Z.-B., Prokudin A., Sun P. and Yuan F., Phys. Rev. D, 93 (2016) 014009.

    Article  ADS  Google Scholar 

  224. Anselmino M., Boglione M., D’Alesio U., Kotzinian A., Murgia F., Prokudin A. and Melis S., Nucl. Phys. Proc. Suppl., 191 (2009) 98.

    Article  ADS  Google Scholar 

  225. Collins J. C., Soper D. E. and Sterman G., Adv. Ser. Direct. High Energy Phys., 5 (1988) 1.

    ADS  Google Scholar 

  226. Brock R. et al., Rev. Mod. Phys., 67 (1995) 157.

    Article  ADS  Google Scholar 

  227. Lin H.-W., Melnitchouk W., Prokudin A., Sato N. and Shows H., Phys. Rev. Lett. 120 (2018) 152502.

    Article  ADS  Google Scholar 

  228. Airapetian A. et al., Phys. Lett. B, 442 (1998) 484.

    Article  ADS  Google Scholar 

  229. Prok Y. et al., Phys. Rev. C, 90 (2014) 025212.

    Article  ADS  Google Scholar 

  230. Abe K. et al., Phys. Rev. Lett., 74 (1995) 346.

    Article  ADS  Google Scholar 

  231. Anthony P. L. et al., Phys. Lett. B, 493 (2000) 19.

    Article  ADS  Google Scholar 

  232. Adolph C. et al., Phys. Lett. B, 753 (2016) 406.

    Article  ADS  Google Scholar 

  233. Avakian H. et al., JLab Experiment C12-12-009 (2012).

  234. Gao H., Chen J.-P., Xiao Z. and Courtoy A., JLab Experiment E12-10-006A (2008).

  235. Czyzewski J., Acta Phys. Pol., 27 (1996) 1759.

    Google Scholar 

  236. Avakian H. and Elouadrhiri L., Single spin asymmetries in electroproduction at CLAS, in Gerasimov-Drell-Hearn sum rule and its extensions. Proceedings of the 3rd International Symposium, GDH 2004, Norfolk, USA, June 2–5, 2004 (World Scientific, New Jersey) 2005, pp. 228–232 URL http://www1.jlab.org/Ul/publications/view_pub.cfm?pub_id=6599

  237. Bacchetta A. and Radici M., Phys. Rev. D, 69 (2004) 074026.

    Article  ADS  Google Scholar 

  238. Matevosyan H. H., arXiv:1807.11485 (2018).

  239. Matevosyan H. H., Kotzinian A. and Thomas A. W., Phys. Rev. Lett., 120 (2018) 252001.

    Article  ADS  Google Scholar 

  240. Anselmino M., Barone V. and Kotzinian A., Phys. Lett. B, 706 (2011) 46.

    Article  ADS  Google Scholar 

  241. Pisano S., EPJ Web of Conferences, 73 (2014) 02008.

    Article  Google Scholar 

  242. Avakian H. and Pisano S., PoS, DIS2016 (2016) 214.

  243. Hautmann F., Jung H., Kramer M., Mulders P. and Nocera E. et al. arXiv:1408.3015 (2014).

  244. Alekhin S., Behnke O., Belov P., Borroni S. and Botje M. et al., arXiv:1410.4412 (2014).

  245. Hautmann F., Jung H. and Monfared S. T., Eur. Phys. J. C, 74 (2014) 3082.

    Article  ADS  Google Scholar 

  246. Aaron F. et al., JHEP, 1001 (2010) 109.

    Article  ADS  Google Scholar 

  247. Jimenez-Delgado P., Avakian H. and Melnitchouk W., Phys. Lett. B, 738 (2014) 263.

    Article  ADS  Google Scholar 

  248. de Florian D., Sassot R. and Stratmann M., Phys. Rev. D, 75 (2007) 114010.

    Article  ADS  Google Scholar 

  249. Anselmino M., Boglione M., D’Alesio U., Kotzinian A., Murgia F. and Prokudin A., Phys. Rev. D, 71 (2005) 074006.

    Article  ADS  Google Scholar 

  250. Amrath D., Bacchetta A. and Metz A., Phys. Rev. D, 71 (2005) 114018.

    Article  ADS  Google Scholar 

  251. Matevosyan H. H., Thomas A. W. and Bentz W., Phys. Rev. D, 83 (2011) 074003.

    Article  ADS  Google Scholar 

  252. Hirai M., Kumano S., Nagai T.-H. and Sudoh K., Phys. Rev. D, 75 (2007) 094009.

    Article  ADS  Google Scholar 

  253. Anselmino M., Boglione M., D’Alesio U., Kotzinian A., Melis S. et al., Eur. Phys. J. A, 39 (2009) 89.

    Article  ADS  Google Scholar 

  254. Matevosyan H. H., Thomas A. W. and Bentz W., Phys. Rev. D, 86 (2012) 034025.

    Article  ADS  Google Scholar 

  255. Matevosyan H. H., Bentz W., Cloet I. C. and Thomas A. W., Phys. Rev. D, 85 (2012) 014021.

    Article  ADS  Google Scholar 

  256. Casey A., Cloet I. C., Matevosyan H. H. and Thomas A. W., Phys. Rev. D, 86 (2012) 114018.

    Article  ADS  Google Scholar 

  257. Avakian H., Matevosyan H., Pasquini B. and Schweitzer P., J. Phys. G, 42 (2015) 034015.

    Article  ADS  Google Scholar 

  258. Aschenauer E.-C. et al., arXiv:1501.01220 (2015).

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Authors and Affiliations

  1. Thomas Jefferson National Accelerator Facility, Newport News, Virginia, 23606, USA

    H. Avakian & A. Prokudin

  2. CERN, CH-1211, Geneva 23, Switzerland

    B. Parsamyan

  3. Penn State Berks, Reading, Pennsylvania, 19610, USA

    A. Prokudin

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  1. H. Avakian
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Avakian, H., Parsamyan, B. & Prokudin, A. Spin orbit correlations and the structure of the nucleon. Riv. Nuovo Cim. 42, 1–48 (2019). https://doi.org/10.1393/ncr/i2019-10155-3

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