Skip to main content
SpringerLink
Log in

Light-Cone Sum Rule Approach for Baryon Form Factors

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

Abstract

We present the state-of-the-art of the light-cone sum rule approach to Baryon form factors. The essence of this approach is that soft Feynman contributions are calculated in terms of small transverse distance quantities using dispersion relations and duality. The form factors are thus expressed in terms of nucleon wave functions at small transverse separations, called distribution amplitudes, without any additional parameters. The distribution amplitudes, therefore, can be extracted from the comparison with the experimental data on form factors and compared to the results of lattice QCD simulations.

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. Chernyak, V.L., Zhitnitsky, A.R.: Asymptotic behavior of Hadron form-factors in Quark model. JETP Lett. 25, 510 (1977)

    ADS  Google Scholar 

  2. Chernyak, V.L., Zhitnitsky, A.R.: Asymptotics of hadronic form-factors in the quantum chromodynamics. Sov. J. Nucl. Phys. 31, 544 (1980)

    Google Scholar 

  3. Chernyak, V.L., Zhitnitsky, A.R., Serbo, V.G.: Asymptotic hadronic form-factors in quantum chromodynamics. JETP Lett. 26, 594 (1977)

    ADS  Google Scholar 

  4. Chernyak, V.L., Zhitnitsky, A.R., Serbo, V.G.: Calculation of asymptotics of the pion electromagnetic form-factor in the QCD perturbation theory. Sov. J. Nucl. Phys. 31, 552 (1980)

    Google Scholar 

  5. Radyushkin, A.V.: JINR report R2-10717 (1977), Deep elastic processes of composite particles in field theory and asymptotic freedom. arXiv:hep-ph/0410276 (English translation)

  6. Efremov, A.V., Radyushkin, A.V.: Electromagnetic form-factor In QCD. Theor. Math. Phys. 42, 97 (1980)

    Article  Google Scholar 

  7. Efremov, A.V., Radyushkin, A.V.: Factorization and asymptotical behavior of pion form-factor in QCD. Phys. Lett. B 94, 245 (1980)

    Article  ADS  Google Scholar 

  8. Lepage, G.P., Brodsky, S.J.: Exclusive processes in quantum chromodynamics: evolution equations for hadronic wave functions and the form-factors of mesons. Phys. Lett. B 87, 359 (1979)

    Article  ADS  Google Scholar 

  9. Lepage, G.P., Brodsky, S.J.: Exclusive processes in perturbative quantum chromodynamics. Phys. Rev. D 22, 2157 (1980)

    Article  ADS  Google Scholar 

  10. Agaev, S.S., Braun, V.M., Offen, N., Porkert, F.A.: Light cone sum rules for the pi0-gamma*-gamma form factor revisited. Phys. Rev. D 83, 054020 (2011)

    Article  ADS  Google Scholar 

  11. Agaev, S.S., Braun, V.M., Offen, N., Porkert, F.A.: BELLE Data on the \(\pi ^0 \gamma * \gamma \) Form Factor: A Game Changer?. Phys. Rev. D 86, 077504 (2012)

  12. Agaev, S.S., Braun, V.M., Offen, N., Porkert, F.A., Schäfer, A.: Transition form factors \(\gamma ^*\gamma \rightarrow \eta \) and \(\gamma ^*\gamma \rightarrow \eta ^{\prime }\) in QCD. Phys. Rev. D 90(7), 074019 (2014)

    Article  ADS  Google Scholar 

  13. Mikhailov, S.V., Stefanis, N.G.: Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions. Nucl. Phys. B 821, 291 (2009). doi:10.1016/j.nuclphysb.2009.06.027. arXiv:0905.4004 [hep-ph]

    Article  ADS  MATH  Google Scholar 

  14. Bakulev, A.P., Mikhailov, S.V., Pimikov, A.V., Stefanis, N.G.: Pion-photon transition: the new QCD frontier. Phys. Rev. D 84, 034014 (2011). doi:10.1103/PhysRevD.84.034014. arXiv:1105.2753 [hep-ph]

    Article  ADS  Google Scholar 

  15. Li, H., Sterman, G.F.: Pion-photon transition: the perturbative pion form-factor with Sudakov suppression. Nucl. Phys. B 381, 129 (1992)

    Article  ADS  Google Scholar 

  16. Balitsky, I.I., Braun, V.M., Kolesnichenko, A.V.: Sigma-P gamma decay in QCD. Sov. J. Nucl. Phys. 44, 1028 (1986). (IN RUSSIAN)

    Google Scholar 

  17. Balitsky, I.I., Braun, V.M., Kolesnichenko, A.V.: Radiative decay sigma-p gamma in quantum chromodynamics. Nucl. Phys. B 312, 509 (1989)

    Article  ADS  Google Scholar 

  18. Chernyak, V.L., Zhitnitsky, I.R.: B meson exclusive decays into baryons. Nucl. Phys. B 345, 137 (1990)

    Article  ADS  Google Scholar 

  19. Braun, V.M., Khodjamirian, A., Maul, M.: Pion form-factor in QCD at intermediate momentum transfers. Phys. Rev. D 61, 073004 (2000)

    Article  ADS  Google Scholar 

  20. Braun, V.M., Lenz, A., Mahnke, N., Stein, E.: Light cone sum rules for the nucleon form-factors. Phys. Rev. D 65, 074011 (2002)

    Article  ADS  Google Scholar 

  21. Braun, V.M., Lenz, A., Wittmann, M.: Nucleon form factors in QCD. Phys. Rev. D 73, 094019 (2006)

    Article  ADS  Google Scholar 

  22. Lenz, A., Wittmann, M., Stein, E.: Improved light cone sum rules for the electromagnetic form-factors of the nucleon. Phys. Lett. B 581, 199 (2004)

    Article  ADS  Google Scholar 

  23. Aznauryan, I.G., Burkert, V.D., Lee, T.S.H.: Asymptotic behavior of exclusive processes in QCD. arXiv:0810.0997 [nucl-th]

  24. Chernyak, V.L., Zhitnitsky, A.R.: Asymptotic behavior of exclusive processes in QCD. Phys. Rep. 112, 173 (1984)

    Article  ADS  Google Scholar 

  25. Braun, V., Fries, R.J., Mahnke, N., Stein, E.: Higher twist distribution amplitudes of the nucleon in QCD. Nucl. Phys. B 589, 381 (2000) [Erratum-ibid. B 607, 433 (2001)]

  26. Braun, V.M., Korchemsky, G.P., Mueller, D.: The uses of conformal symmetry in QCD. Prog. Part. Nucl. Phys. 51, 311 (2003). doi:10.1016/S0146-6410(03)90004-4. arXiv:hep-ph/0306057

    Article  ADS  Google Scholar 

  27. Bukhvostov, A.P., Frolov, G.V., Lipatov, L.N., Kuraev, E.A.: Evolution equations for quasi-partonic operators. Nucl. Phys. B 258, 601 (1985). doi:10.1016/0550-3213(85)90628-5

    Article  ADS  Google Scholar 

  28. Braun, V.M., Manashov, A.N., Rohrwild, J.: Baryon operators of higher twist in QCD and nucleon distribution amplitudes. Nucl. Phys. B 807, 89 (2009). doi:10.1016/j.nuclphysb.2008.08.012. arXiv:0806.2531 [hep-ph]

    Article  ADS  MATH  Google Scholar 

  29. Braun, V.M., Manashov, A.N., Rohrwild, J.: Renormalization of twist-four operators in QCD. Nucl. Phys. B 826, 235 (2010). doi:10.1016/j.nuclphysb.2009.10.005. arXiv:0908.1684 [hep-ph]

    Article  ADS  MathSciNet  MATH  Google Scholar 

  30. Braun, V.M., et al.: QCDSF collab.: nucleon distribution amplitudes and proton decay matrix elements on the lattice. Phys. Rev. D 79, 034504 (2009)

    Article  ADS  Google Scholar 

  31. Schiel, R., et al.: Wave functions of the nucleon and the \(N^\ast (1535)\), invited talk at the 31st International Symposium on Lattice Gauge Theory, July 29–August 03 (2013), Mainz

  32. Braun, V.M., et al.: Light-cone distribution amplitudes of the nucleon and negative parity nucleon resonances from lattice QCD. Phys. Rev. D 89, 094511 (2014)

    Article  ADS  Google Scholar 

  33. Braun, V.M., et al.: Electroproduction of the N*(1535) resonance at large momentum transfer. Phys. Rev. Lett. 103, 072001 (2009)

  34. Anikin, I.V., Braun, V.M., Offen, N.: Nucleon form factors and distribution amplitudes in QCD. Phys. Rev. D 88, 114021 (2013)

    Article  ADS  Google Scholar 

  35. Gruber, M.: The nucleon wave function at the origin. Phys. Lett. B 699, 169 (2011)

    Article  ADS  Google Scholar 

  36. Anikin, I.V., Braun, V.M., Offen, N.: Electroproduction of the N*(1535) nucleon resonance in QCD. Phys. Rev. D 92(1), 014018 (2015). doi:10.1103/PhysRevD.92.014018. arXiv:1505.05759 [hep-ph]

    Article  ADS  Google Scholar 

  37. Aznauryan, I.G., et al.: Electroexcitation of nucleon resonances from CLAS data on single pion electroproduction. [CLAS Collaboration]. Phys. Rev. C 80, 055203 (2009)

  38. Denizli, H., et al.: [CLAS Collaboration]. Q*2 dependence of the S(11)(1535) photocoupling and evidence for a P-wave resonance in eta electroproduction. Phys. Rev. C 76, 015204 (2007)

  39. Dalton, M.M., Adams, G.S., Ahmidouch, A., Angelescu, T., Arrington, J., Asaturyan, R., Baker, O.K., Benmouna, N., et al.: Electroproduction of eta mesons in the S(11)(1535) resonance region at high momentum transfer. Phys. Rev. C 80, 015205 (2009)

    Article  ADS  Google Scholar 

  40. Armstrong, C.S., et al.: [Jefferson Lab E94014 Collaboration]: electroproduction of the S(11)(1535) resonance at high momentum transfer. Phys. Rev. D 60, 052004 (1999)

    Article  ADS  Google Scholar 

  41. Krankl, S., Manashov, A.: Two-loop renormalization of three-quark operators in QCD. Phys. Lett. B 703, 519 (2011). doi:10.1016/j.physletb.2011.08.028. arXiv:1107.3718 [hep-ph]

  42. Passek-Kumericki, K., Peters, G.: Nucleon form factors to next-to-leading order with light-cone sum rules. Phys. Rev. D 78, 033009 (2008)

    Article  ADS  Google Scholar 

  43. Anikin, I.V., Manashov, A.N.: Higher twist nucleon distribution amplitudes in Wandzura-Wilczek approximation. Phys. Rev. D 89(1), 014011 (2014). doi:10.1103/PhysRevD.89.014011. arXiv:1311.3584 [hep-ph]

    Article  ADS  Google Scholar 

  44. Arrington, J., Melnitchouk, W., Tjon, J.A.: Global analysis of proton elastic form factor data with two-photon exchange corrections. Phys. Rev. C 76, 035205 (2007)

    Article  ADS  Google Scholar 

  45. Lachniet, J., et al.: CLAS collab.: a precise measurement of the neutron magnetic form factor G**n(M)in the few-GeV**2 region. Phys. Rev. Lett. 102, 192001 (2009)

    Article  ADS  Google Scholar 

  46. Gayou, O., et al.: [Jefferson Lab Hall A Collaboration]: measurement of G(Ep) / G(Mp) in polarized-e p - e polarized-p to \(Q**2 = 5.6-GeV**\)2. Phys. Rev. Lett. 88, 092301 (2002)

    Article  ADS  Google Scholar 

  47. Punjabi V., et al.: Proton elastic form-factor ratios to \(Q**2 = 3.5-GeV**2\) by polarization transfer. Phys. Rev. C 71, 055202 (2005) [Erratum-ibid. C 71, 069902 (2005)]

  48. Puckett, A.J.R., et al.: Recoil polarization measurements of the proton electromagnetic form factor ratio to \(Q2 = 8:5\) GeV2. Phys. Rev. Lett. 104, 242301 (2010)

    Article  ADS  Google Scholar 

  49. Plaster, B., et al.: [Jefferson Laboratory E93-038 Collaboration]: Measurements of the neutron electric to magnetic form-factor ratio G(En) / G(Mn) via the H-2 (polarized-e, e-prime, polarized-n) H-1 reaction to Q**2=1.45-(GeV/c)**2. Phys. Rev. C 73, 025205 (2006)

  50. Riordan, S., et al.: Measurements of the Electric Form Factor of the Neutron up to \(Q^2=3.4 GeV^2\) using the Reaction \(^3He^{->}(e^{->},e^{\prime }n) pp\). Phys. Rev. Lett. 105, 262302 (2010)

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

    Article  ADS  Google Scholar 

  52. Anikin, I.V., Braun, V.M., Offen, N.: Axial form factor of the nucleon at large momentum transfers. arxiv:1607.01504 [hep-ph]

  53. Emmerich, M., Offen, N., Schäfer, A.: The decays \(\Lambda _{b,c}\rightarrow N^*lv\) in QCD. arXiv:1604.06595 [hep-ph]

  54. Aznauryan, I.G., et al.: Studies of nucleon resonance structure in exclusive meson electroproduction. Int. J. Mod. Phys. E 22, 1330015 (2013)

    Article  ADS  Google Scholar 

  55. Gothe, R.W., et al.: Nucleon Resonance Studies with CLAS12, Experiment E12-09-003

Download references

Author information

Authors and Affiliations

  1. Fakultät Physik, Universität Regensburg, 93040, Regensburg, Germany

    Nils Offen

Authors
  1. Nils Offen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nils Offen.

Additional information

This article belongs to the special issue “Nucleon Resonances”.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Offen, N. Light-Cone Sum Rule Approach for Baryon Form Factors. Few-Body Syst 57, 975–983 (2016). https://doi.org/10.1007/s00601-016-1135-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-016-1135-8

Search

Navigation