Skip to main content
SpringerLink
Log in

Generalized Parton Distributions: Visions, Basics, and Realities

  • Published:
Few-Body Systems Aims and scope Submit manuscript

Abstract

An introductory to generalized parton distributions (GDPs) is given which emphasizes their spectral property and its uses as well as the equivalence of various GDP representations. Furthermore, the status of the theory and phenomenology of hard exclusive processes is shortly reviewed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Müller D., Robaschik D., Geyer B., Dittes F.M., Hořejši J.: Wave functions, evolution equations and evolution kernels from light-ray operators of QCD. Fortschr. Phys. 42, 101 (1994)

    Google Scholar 

  2. Radyushkin A.V.: Scaling limit of deeply-virtual Compton scattering. Phys. Lett. B 380, 417 (1996)

    ADS  Google Scholar 

  3. Ji X.: Deeply-virtual Compton scattering. Phys. Rev. D 55, 7114 (1997)

    ADS  Google Scholar 

  4. Radyushkin A.V.: Asymmetric gluon distribution and hard diffractive electroproduction. Phys. Lett. B 385, 333 (1996)

    ADS  Google Scholar 

  5. Collins J., Frankfurt L., Strikman M.: Factorization for hard exclusive electroproduction of mesons in QCD. Phys. Rev. D 56, 2982 (1997)

    ADS  Google Scholar 

  6. Collins J., Freund A.: Proof of factorization for deeply virtual Compton scattering in QCD. Phys. Rev. D 59, 074009 (1999)

    ADS  Google Scholar 

  7. Diehl M., Feldmann T., Jakob R., Kroll P.: The overlap representation of skewed quark and gluon distributions. Nucl. Phys. B 596, 33 (2001)

    ADS  MATH  Google Scholar 

  8. Brodsky S.J., Diehl M., Hwang D.S.: Light-cone wavefunction representation of deeply virtual Compton scattering. Nucl. Phys. B 596, 99 (2001)

    ADS  Google Scholar 

  9. Diehl M.: Generalized parton distributions. Phys. Rep. 388, 41 (2003)

    ADS  Google Scholar 

  10. Belitsky A.V., Radyushkin A.V.: Unraveling hadron structure with generalized parton distributions. Phys. Rep. 418, 1 (2005)

    ADS  Google Scholar 

  11. Burkardt M.: Impact parameter dependent parton distributions and off-forward parton distributions for \({\zeta \rightarrow 0}\) . Phys. Rev. D 62, 071503 (2000)

    ADS  Google Scholar 

  12. Burkardt M.: Impact parameter space interpretation for generalized parton distributions. Int. J. Mod. Phys. A 18, 173 (2003)

    ADS  MATH  Google Scholar 

  13. Ji X.: Gauge invariant decompostion of nucleon spin and its spin off. Phys. Rev. Lett. 78, 610 (1997)

    ADS  Google Scholar 

  14. Goeke K., Polyakov M.V., Vanderhaeghen M.: Hard exclusive reactions and the structure of hadrons. Prog. Part. Nucl. Phys. 47, 401 (2001)

    ADS  Google Scholar 

  15. Belitsky A.V., Müller D., Kirchner A.: Theory of deeply virtual Compton scattering on the nucleon. Nucl. Phys. B 629, 323 (2002)

    ADS  Google Scholar 

  16. Airapetian A. et al.: Measurement of the beam-spin azimuthal asymmetry associated with deeply-virtual Compton scattering. Phys. Rev. Lett. 87, 182001 (2001)

    ADS  Google Scholar 

  17. Stepanyan S. et al.: Observation of exclusive deeply virtual Compton scattering in polarized electron beam asymmetry measurements. Phys. Rev. Lett. 87, 182002 (2001)

    ADS  Google Scholar 

  18. Kumerički K., Müller D., Passek-Kumerički K.: Sum rules and dualities for generalized parton distributions: is there a holographic principle?. Eur. Phys. J. C 58, 193 (2008)

    ADS  Google Scholar 

  19. Guidal M., Moutarde H., Vanderhaeghen M.: Generalized parton distributions in the valence region from deeply virtual Compton scattering. Rep. Prog. Phys. 76, 066202 (2013)

    ADS  Google Scholar 

  20. Kumerički K., Müller D., Passek-Kumerički K.: Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond. Nucl. Phys. B 794, 244 (2008)

    ADS  Google Scholar 

  21. Müller, D., Lautenschlager, T., Passek-Kumerički, K., Schäfer, A.: Towards a fitting procedure to deeply virtual meson production—the next-to-leading order case–. arXiv:1310.5394 (2013)

  22. Kumerički K., Müller D.: Deeply virtual Compton scattering at small x B and the access to the GPD H. Nucl. Phys. B 841, 1–58 (2010)

    ADS  Google Scholar 

  23. Kumerički, K., Lautenschlager, T., Müller, D., Passek-Kumericki, K., Schaefer, A., Meskauskas, M.: Accessing GPDs from experiment—potential of a high-luminosity EIC—. arXiv:1105.0899 (2011)

  24. Lautenschlager, T., Mueller, D., Schaefer, A.: Global analysis of generalized parton distributions—collider kinematics—. arXiv:1312.5493 (2013)

  25. Kumerički, K., Müller, D., Murray, M.: HERMES impact for the access of Compton form factors. arXiv:1301.1230 (2013)

  26. Mankiewicz L., Piller G., Stein E., Vänttinen M., Weigl T.: NLO corrections to deeply-virtual Compton scattering. Phys. Lett. B 425, 186 (1998)

    ADS  Google Scholar 

  27. Belitsky A.V., Freund A., Müller D.: Evolution kernels of skewed parton distributions: method and two-loop results. Nucl. Phys. B 574, 347 (2000)

    ADS  Google Scholar 

  28. Radyushkin A.V.: Non-forward parton distributions. Phys. Rev. D 56, 5524 (1997)

    ADS  Google Scholar 

  29. Radyushkin A.: Double distributions and evolution equations. Phys. Rev. D 59, 014030 (1999)

    ADS  Google Scholar 

  30. Polyakov M.V., Weiss C.: Skewed and double distributions in pion and nucleon. Phys. Rev. D 60, 114017 (1999)

    ADS  Google Scholar 

  31. Belitsky A.V., Müller D., Kirchner A., Schäfer A.: Twist-three analysis of photon electroproduction off pion. Phys. Rev. D 64, 116002 (2001)

    ADS  Google Scholar 

  32. Teryaev O.V.: Crossing and radon tomography for generalized parton distributions. Phys. Lett. B 510, 125 (2001)

    ADS  MATH  Google Scholar 

  33. Hwang D.S., Müller D.: Implication of the overlap representation for modelling generalized parton distributions. Phys. Lett. B 660, 350 (2008)

    ADS  Google Scholar 

  34. Radyushkin A.: Modeling nucleon generalized parton distributions. Phys. Rev. D 87, 096017 (2013)

    ADS  Google Scholar 

  35. Pobylitsa P.: Positivity bounds on generalized parton distributions in impact parameter representation. Phys. Rev. D 66, 094002 (2002)

    ADS  Google Scholar 

  36. Pobylitsa P.V.: Integral representations for nonperturbative GPDs in terms of perturbative diagrams. Phys. Rev. D 67, 094012 (2003)

    ADS  Google Scholar 

  37. Pobylitsa P.V.: Solution of polynomiality and positivity constraints on generalized parton distributions. Phys. Rev. D 67, 034009 (2003)

    ADS  Google Scholar 

  38. Müller D., Schäfer A.: Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes. Nucl. Phys. B 739, 1 (2006)

    MATH  Google Scholar 

  39. Chen Z.: Non-forward and unequal mass virtual Compton scattering. Nucl. Phys. B 525, 369 (1998)

    ADS  Google Scholar 

  40. Belitsky A.V., Geyer B., Müller D., Schäfer A.: On the leading logarithmic evolution of the off-forward distributions. Phys. Lett. B 421, 312 (1998)

    ADS  Google Scholar 

  41. Shuvaev A.G.: Solution of the off-forward leading logarithmic evolution equation based on the gegenbauer moments inversion. Phys. Rev. D 60, 116005 (1999)

    ADS  Google Scholar 

  42. Noritzsch J.D.: Off-forward parton distributions and Shuvaev’s transformations. Phys. Rev. D 62, 054015 (2000)

    ADS  Google Scholar 

  43. Polyakov M.V.: Hard exclusive electroproduction of two pions and their resonances. Nucl. Phys. B 555, 231 (1999)

    ADS  Google Scholar 

  44. Ji X.D., Lebed R.F.: Counting form factors of twist-two operators. Phys. Rev. D 63, 076005 (2001)

    ADS  Google Scholar 

  45. Polyakov, M.V., Shuvaev, A.G.: On ’dual’ parametrizations of generalized parton distributions. hep-ph/0207153 (2002)

  46. Kirch M., Manashov A., Schäfer A.: Evolution equation for generalized parton distributions. Phys. Rev. D 72, 114006 (2005)

    ADS  Google Scholar 

  47. Polyakov, M.V.: Educing GPDs from amplitudes of hard exclusive processes. arXiv:0711.1820 (2007)

  48. Teryaev, O.V.: Analytic properties of hard exclusive amplitudes. hep-ph/0510031 (2005)

  49. Diehl M., Ivanov D.Y.: Dispersion representations for hard exclusive processes. Eur. Phys. J. C 52, 919–932 (2007)

    ADS  Google Scholar 

  50. Braun, V.M., Manashov, A.N., Mueller, D., Pirnay, B.M.: Deeply virtual Compton scattering to the twist-four accuracy: impact of finite-t and target mass corrections. arXiv:1401.7621 (2014)

  51. Landshoff P.V., Polkinghorne J.C.: Models for hadronic and leptonic processes at high-energy. Phys. Rep. 5, 1 (1972)

    ADS  Google Scholar 

  52. Gabdrakhmanov I., Teryaev O.: Analyticity and sum rules for photon GPDs. Phys. Lett. B 716, 417 (2012)

    ADS  Google Scholar 

  53. El Beiyad M., Pire B., Szymanowski L., Wallon S.: Diphoton generalized distribution amplitudes. Phys. Rev. D 78, 034009 (2008)

    ADS  Google Scholar 

  54. Friot S., Pire B., Szymanowski L.: Deeply virtual Compton scattering on a photon and generalized parton distributions in the photon. Phys. Lett. B 645, 153 (2007)

    ADS  Google Scholar 

  55. Belitsky A.V., Müller D.: Broken conformal invariance and spectrum of anomalous dimensions in QCD. Nucl. Phys. B 537, 397 (1999)

    ADS  Google Scholar 

  56. Musatov I., Radyushkin A.: Evolution and models for skewed parton distributions. Phys. Rev. D 61, 074027 (2000)

    ADS  Google Scholar 

  57. Vanderhaeghen M., Guichon P.A.M., Guidal M.: Deeply virtual electroproduction of photons and mesons on the nucleon: leading order amplitudes and power corrections. Phys. Rev. D 60, 094017 (1999)

    ADS  Google Scholar 

  58. Freund A., McDermott M.: A detailed next-to-leading order QCD analysis of deeply virtual Compton scattering observables. Eur. Phys. J. C 23, 651 (2002)

    ADS  Google Scholar 

  59. Belitsky A.V., Müller D.: Predictions from conformal constraints for deeply virtual Compton scattering. Phys. Lett. B 417, 129 (1998)

    ADS  Google Scholar 

  60. Ji X., Osborne J.: One-loop QCD corrections to deeply-virtual Compton scattering: the parton helicity-independent case. Phys. Rev. D 57, 1337 (1998)

    ADS  Google Scholar 

  61. Ji X., Osborne J.: One loop corrections and all order factorization in deeply virtual Compton scattering. Phys. Rev. D 58, 094018 (1998)

    ADS  Google Scholar 

  62. Pire B., Szymanowski L., Wagner J.: NLO corrections to timelike, spacelike and double deeply virtual Compton scattering. Phys. Rev. D 83, 034009 (2011)

    ADS  Google Scholar 

  63. Belitsky A.V., Müller D.: Hard exclusive meson production at next-to-leading order. Phys. Lett. B 513, 349 (2001)

    ADS  Google Scholar 

  64. Ivanov D.Y., Szymanowski L., Krasnikov G.: Vector meson electroproduction at next-to-leading order. JETP Lett. 80, 226 (2004)

    ADS  Google Scholar 

  65. Müller D.: Conformal constraints and the evolution of the nonsinglet meson distribution amplitude. Phys. Rev. D 49, 2525 (1994)

    ADS  Google Scholar 

  66. Müller D.: Restricted conformal invariance in QCD and its predictive power for virtual two-photon processes. Phys. Rev. D 58, 054005 (1998)

    ADS  Google Scholar 

  67. Müller D.: Next-to-next-to leading order corrections to deeply virtual Compton scattering: the non-singlet case. Phys. Lett. B 634, 227 (2006)

    ADS  Google Scholar 

  68. Kumerički K., Müller D., Passek-Kumerički K., Schäfer A.: Deeply virtual Compton scattering beyond next-to-leading order: the flavor singlet case. Phys. Lett. B 648, 186 (2007)

    ADS  Google Scholar 

  69. Dittes F., Radyushkin A.: Two loop contribution to the evolution of the pion wave function. Phys. Lett. B 134, 359–362 (1984)

    ADS  Google Scholar 

  70. Sarmadi M.: The asymptotic pion form-factor beyond the leading order. Phys. Lett. B 143, 471 (1984)

    ADS  Google Scholar 

  71. Mikhailov S., Radyushkin A.: Evolution kernels in QCD: two loop calculation in Feynman gauge. Nucl. Phys. B 254, 89 (1985)

    ADS  Google Scholar 

  72. Mikhailov S.V., Vladimirov A.A.: ERBL and DGLAP kernels for transversity distributions. Two-loop calculations in covariant gauge. Phys. Lett. B 671, 111 (2009)

    ADS  MathSciNet  Google Scholar 

  73. Melić B., Nižić B., Passek K.: Complete next-to-leading perturbative QCD prediction for the pion form factor. Phys. Rev. D 60, 074004 (1999)

    ADS  Google Scholar 

  74. Berger E.R., Diehl M., Pire B.: Timelike Compton scattering: exclusive photoproduction of lepton pairs. Eur. Phys. J. C 23, 675 (2001)

    ADS  Google Scholar 

  75. Müller D., Pire B., Szymanowski L., Wagner J.: On timelike and spacelike hard exclusive reactions. Phys. Rev. D 86, 031502 (2012)

    ADS  Google Scholar 

  76. Guidal M., Vanderhaeghen M.: Double deeply virtual Compton scattering off the nucleon. Phys. Rev. Lett. 90, 012001 (2003)

    ADS  Google Scholar 

  77. Belitsky A.V., Müller D.: Exclusive electroproduction of lepton pairs as a probe of nucleon structure. Phys. Rev. Lett. 90, 022001 (2003)

    ADS  Google Scholar 

  78. Belitsky A.V., Müller D.: Probing generalized parton distributions with electroproduction of lepton pairs off the nucleon. Phys. Rev. D 68, 116005 (2003)

    ADS  Google Scholar 

  79. Belitsky A., Müller D.: Off-forward gluonometry. Phys. Lett. B 486, 369 (2000)

    ADS  Google Scholar 

  80. Anikin I.V., Pire B., Teryaev O.V.: On the gauge invariance of the DVCS amplitude. Phys. Rev. D 62, 071501 (2000)

    ADS  Google Scholar 

  81. Penttinen M., Polyakov M.V., Shuvaev A.G., Strikman M.: DVCS amplitude in the parton model. Phys. Lett. B 491, 96 (2000)

    ADS  Google Scholar 

  82. Belitsky A.V., Müller D.: Twist-three effects in two-photon processes. Nucl. Phys. B 589, 611 (2000)

    ADS  Google Scholar 

  83. Kivel N., Polyakov M.V.: DVCS on the nucleon to the twist-3 accuracy. Nucl. Phys. B 600, 334 (2001)

    ADS  Google Scholar 

  84. Kivel N., Mankiewicz L.: NLO corrections to the twist-3 amplitude in DVCS on a nucleon in the Wandzura–Wilczek approximation: quark case. Nucl. Phys. B 672, 357 (2003)

    ADS  Google Scholar 

  85. Mankiewicz L., Piller G.: Comments on exclusive electroproduction of transversely polarized vector mesons. Phys. Rev. D 61, 074013 (2000)

    ADS  Google Scholar 

  86. Kivel N.: On hard electroproduction of mesons: helicity flip amplitudes with tensor gluon contributions. Phys. Rev. D 65, 054010 (2002)

    ADS  Google Scholar 

  87. Belitsky, A.V., Müller, D., Ji, Y.: Compton scattering: from deeply virtual to quasi-real. Nucl. Phys. B 878 (2014)

  88. Akushevich I., Ilyichev A.: Radiative effects in the processes of exclusive photon electroproduction from polarized protons. Phys. Rev. D 85, 053008 (2012)

    ADS  Google Scholar 

  89. Hagler P.: Hadron structure from lattice quantum chromodynamics. Phys. Rep. 490, 49 (2010)

    ADS  MathSciNet  Google Scholar 

  90. Guidal M., Polyakov M.V., Radyushkin A.V., Vanderhaeghen M.: Nucleon form factors from generalized parton distributions. Phys. Rev. D 72, 054013 (2005)

    ADS  Google Scholar 

  91. Diehl M., Feldmann T., Jakob R., Kroll P.: Generalized parton distributions from nucleon form factor data. Eur. Phys. J. C 39, 1 (2005)

    ADS  Google Scholar 

  92. Diehl M., Kroll P.: Nucleon form factors, generalized parton distributions and quark angular momentum. Eur. Phys. J. C 73, 2397 (2013)

    ADS  Google Scholar 

  93. Alekhin S., Blumlein J., Moch S.: Parton distribution functions and benchmark cross sections at NNLO. Phys. Rev. D 86, 054009 (2012)

    ADS  Google Scholar 

  94. Mankiewicz L., Piller G., Radyushkin A.: Hard exclusive electroproduction of pions. Eur. Phys. J. C 10, 307 (1999)

    ADS  Google Scholar 

  95. Frankfurt L.L., Pobylitsa P.V., Polyakov M.V., Strikman M.: Hard exclusive pseudoscalar meson electroproduction and spin structure of a nucleon. Phys. Rev. D 60, 0140010 (1999)

    Google Scholar 

  96. Kumerički, K., Müller, D.: Towards a global analysis of generalized parton distributions. arXiv:1008.2762 (2010)

  97. Vinnikov, A.V.: Code for prompt numerical computation of the leading order GPD evolution. hep-ph/0604248 (2006)

  98. Polyakov, M.V., Vanderhaeghen, M.: Taming deeply virtual Compton scattering. arXiv:0803.1271 (2008)

  99. Kroll P., Moutarde H., Sabatie F.: From hard exclusive meson electroproduction to deeply virtual Compton scattering. Eur. Phys. J. C 73, 2278 (2013)

    ADS  Google Scholar 

  100. Guidal M.: A fitter code for deep virtual Compton scattering and generalized parton distributions. Eur. Phys. J. A 37, 319 (2008)

    ADS  Google Scholar 

  101. Guidal M., Moutarde H.: Generalized parton distributions from deeply virtual Compton scattering at HERMES. Eur. Phys. J. A 42, 71 (2009)

    ADS  Google Scholar 

  102. Guidal M.: Constraints on the H̃ generalized parton distribution from deep virtual Compton scattering measured at HERMES. Phys. Lett. B 693, 17 (2010)

    ADS  Google Scholar 

  103. Guidal M.: Generalized parton distributions from deep virtual Compton scattering at CLAS. Phys. Lett. B 689, 156 (2010)

    ADS  Google Scholar 

  104. Kumerički K., Müller D., Schäfer A.: Neural network generated parametrizations of deeply virtual Compton form factors. JHEP 1107, 073 (2011)

    ADS  Google Scholar 

  105. Aschenauer E.C., Fazio S., Kumerički K., Müller D.: Deeply virtual Compton scattering at a proposed high-luminosity electron-ion collider. JHEP 1309, 093 (2013)

    ADS  Google Scholar 

  106. Goloskokov S.V., Kroll P.: The role of the quark and gluon GPDs in hard vector-meson electroproduction. Eur. Phys. J. C 53, 367–384 (2008)

    ADS  Google Scholar 

  107. Goloskokov S.V., Kroll P.: An attempt to understand exclusive \({\pi^+}\) electroproduction. Eur. Phys. J. C 65, 137–151 (2010)

    ADS  Google Scholar 

  108. Freund A.: A detailed QCD analysis of twist 3 effects in DVCS observables. Phys. Rev. D 68, 096006 (2003)

    ADS  Google Scholar 

  109. Moutarde H.: Extraction of the Compton form factor H from DVCS measurements at Jefferson Lab. Phys. Rev. D 79, 094021 (2009)

    ADS  Google Scholar 

  110. Shuvaev A.G., Golec-Biernat K.J., Martin A.D., Ryskin M.G.: Off-diagonal partons fixed by diagonal partons at small x and \({\xi}\) . Phys. Rev. D 60, 014015 (1999)

    ADS  Google Scholar 

  111. Martin A.D., Nockles C., Ryskin M.G., Shuvaev A.G., Teubner T.: Generalised parton distributions at small x. Eur. Phys. J. C 63, 57 (2009)

    ADS  Google Scholar 

  112. Airapetian A. et al.: Separation of contributions from deeply virtual Compton scattering and its interference with the Bethe–Heitler process in measurements on a hydrogen target. JHEP 11, 083 (2009)

    Google Scholar 

  113. Girod F.X. et al.: Deeply virtual Compton scattering beam-spin asymmetries. Phys. Rev. Lett. 100, 162002 (2008)

    ADS  Google Scholar 

  114. Camacho C.M. et al.: Scaling tests of the cross section for deeply virtual Compton scattering. Phys. Rev. Lett. 97, 262002 (2006)

    ADS  Google Scholar 

  115. Goloskokov S.V., Kroll P.: Vector meson electroproduction at small Bjorken-x and generalized parton distributions. Eur. Phys. J. C 42, 281 (2005)

    ADS  Google Scholar 

  116. Goloskokov S., Kroll P.: The longitudinal cross-section of vector meson electroproduction. Eur. Phys. J. C 50, 829 (2007)

    ADS  Google Scholar 

  117. Goloskokov S., Kroll P.: The target asymmetry in hard vector-meson electroproduction and parton angular momenta. Eur. Phys. J. C 59, 809 (2009)

    ADS  Google Scholar 

  118. Guidal, M., Morrow, S.: Exclusive \({\rho^0}\) electroproduction on the proton: GPDs or not GPDs? arXiv:0711.3743 (2007)

  119. Hyde, C.E., Guidal, M., Radyushkin, A.V.: Deeply virtual exclusive processes and generalized parton distributions. J. Phys. Conf. Ser. 299 (2011)

  120. Bechler, C., Müller, D.: Generic modelling of non-perturbative quantities and a description of hard exclusive \({\pi^+}\) electroproduction. arXiv:0906.2571 (2009)

  121. Aaron F. et al.: Diffractive electroproduction of \({\rho}\) and \({\phi}\) mesons at HERA. JHEP 1005, 032 (2010)

    ADS  Google Scholar 

  122. Chekanov S. et al.: Exclusive electroproduction of \({\phi}\) mesons at HERA. Nucl. Phys. B 718, 3 (2005)

    ADS  Google Scholar 

  123. Chekanov S. et al.: Exclusive \({\rho^0}\) production in deep inelastic scattering at HERA. PMC Phys. A 1, 6 (2007)

    Google Scholar 

  124. Kumano S., Strikman M., Sudoh K.: Novel two-to-three hard hadronic processes and possible studies of generalized parton distributions at hadron facilities. Phys. Rev. D 80, 074003 (2009)

    ADS  Google Scholar 

  125. Kopeliovich, B., Schmidt, I., Siddikov, M.: Generalized parton distributions from neutrino experiments: twist-three effects. arXiv:1401.6564 (2014)

  126. Mazouz M. et al.: Deeply virtual Compton scattering off the neutron. Phys. Rev. Lett. 99, 242501 (2007)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics II, Ruhr-University Bochum, 44780, Bochum, Germany

    D. Müller

Authors
  1. D. Müller
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. Müller.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Müller, D. Generalized Parton Distributions: Visions, Basics, and Realities. Few-Body Syst 55, 317–337 (2014). https://doi.org/10.1007/s00601-014-0894-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-014-0894-3

Keywords

Search

Navigation