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Semi-inclusive pion electroproduction at the highest transverse momenta

Andrei Afanasev1 and Carl E. Carlson2

Phys. Rev. D 112, 093008 – Published 26 November, 2025

DOI: https://doi.org/10.1103/ms5l-p89c

Abstract

At the energies of present and future electron accelerators designed to study the structure of hadrons, there is a regime where hard pion electroproduction proceeds by a perturbatively calculable process in QCD. The process is not the leading twist fragmentation one but rather a higher-twist process that produces kinematically isolated pions. Semi-inclusive data may teach us more about parton distribution functions of the target and the pion distribution amplitude. In addition, there is a connection to generalized parton distribution calculations of exclusive electroproduction of mesons in that the perturbative kernel is the same.

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References (25)

  1. V. N. Baier and A. G. Grozin, Determination of the meson wave function using the cross-section of its isolated inclusive production, Phys. Lett. B 96, 181 (1980).
  2. C. E. Carlson and J. Milana, The Approach to color transparency as a means of determining hadronic distribution amplitudes, Phys. Rev. D 44, 1377 (1991).
  3. C. E. Carlson and A. B. Wakely, Semiinclusive pion photoproduction at large transverse momenta, Phys. Rev. D 48, 2000 (1993).
  4. A. Brandenburg, V. V. Khoze, and D. Mueller, Semiexclusive pion production in deep inelastic scattering, Phys. Lett. B 347, 413 (1995).
  5. A. Afanasev, C. E. Carlson, and C. Wahlquist, Soft contributions to hard pion photoproduction, Phys. Rev. D 61, 034014 (2000).
  6. A. Afanasev and C. E. Carlson, Hard pion electroproduction at medium energies, Nucl. Phys. A721, 763 (2003).
  7. T. Liu and J.-W. Qiu, Power corrections in semi-inclusive deep inelastic scatterings at fixed target energies, Phys. Rev. D 101, 014008 (2020).
  8. C. Egerer et al. (HadStruc Collaboration), Transversity parton distribution function of the nucleon using the pseudodistribution approach, Phys. Rev. D 105, 034507 (2022).
  9. P. C. Barry et al. (Jefferson Lab Angular Momentum (JAM) Collaboration and HadStruc Collaboration), Complementarity of experimental and lattice QCD data on pion parton distributions, Phys. Rev. D 105, 114051 (2022).
  10. R. G. Edwards et al. (HadStruc Collaboration), Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions, J. High Energy Phys. 03 (2023) 086.
  11. A. Bacchetta, M. Diehl, K. Goeke, A. Metz, P. J. Mulders, and M. Schlegel, Semi-inclusive deep inelastic scattering at small transverse momentum, J. High Energy Phys. 02 (2007) 093. One may also change the differential measures using d3ℓ′/E′=mpνdxdydψ and d3pπ/ωπ=(ν/2ωπ)dzdϕhdpπ⊥2 (notation given in the reference).
  12. L. N. Hand, Experimental investigation of pion electroproduction, Phys. Rev. 129, 1834 (1963).
  13. E. Amaldi, S. Fubini, and G. Furlan, Pion-Electroproduction. Electroproduction at Low Energy and Hadron Form Factors, Vol. 83 (Springer, Berlin, Heidelberg, 1979).
  14. T. Arens, O. Nachtmann, M. Diehl, and P. V. Landshoff, Some tests for the helicity structure of the pomeron in e p collisions, Z. Phys. C 74, 651 (1997).
  15. A. Bacchetta, P. J. Mulders, and F. Pijlman, New observables in longitudinal single-spin asymmetries in semi-inclusive dis, Phys. Lett. B 595, 309 (2004).
  16. A. Afanasev, C. E. Carlson, and C. Wahlquist, Measuring polarized gluon and quark distributions with meson photoproduction, Phys. Rev. D 58, 054007 (1998).
  17. J. Hua et al. (Lattice Parton Collaboration), Pion and kaon distribution amplitudes from Lattice QCD, Phys. Rev. Lett. 129, 132001 (2022).
  18. A. Pautz and G. Shaw, Nuclear shadowing and rho photoproduction, Phys. Rev. C 57, 2648 (1998).
  19. A. Szczurek, V. Uleshchenko, and J. Speth, anti-d—anti-u asymmetry and semiinclusive production of pions in DIS, Phys. Rev. D 63, 114005 (2001).
  20. M. Gluck, E. Reya, M. Stratmann, and W. Vogelsang, Next-to-leading order radiative parton model analysis of polarized deep inelastic lepton—nucleon scattering, Phys. Rev. D 53, 4775 (1996).
  21. A. Accardi et al., Strong interaction physics at the luminosity frontier with 22 GeV electrons at Jefferson Lab, Eur. Phys. J. A 60, 173 (2024).
  22. M. Diehl, Generalized parton distributions, Phys. Rep. 388, 41 (2003).
  23. S. Ahmad, G. R. Goldstein, and S. Liuti, Nucleon tensor charge from exclusive π0 electroproduction, Phys. Rev. D 79, 054014 (2009).
  24. S. V. Goloskokov and P. Kroll, An attempt to understand exclusive π+ electroproduction, Eur. Phys. J. C 65, 137 (2010).
  25. S. Goloskokov and P. Kroll, Transversity in hard exclusive electroproduction of pseudoscalar mesons, Eur. Phys. J. A 47, 112 (2011).

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