Internal structure of pion and kaon: an algebraic model and its implications


  • Isela Melany Higuera Angulo IFM - UMSNH
  • Luis Albino Fernandez Rangel IFM-UMSNH
  • Khépani Raya Departamento de Física Teórica y del Cosmos, Universidad de Granada
  • Adnan Bashir IFM-UMSNH



QCD, Schwinger-Dyson equations, Bethe-Salpeter amplitude, algebraic model, hadronic physics, GPDs


We describe an algebraic approach to address aspects of the structure of pseudo-scalar mesons through their corresponding generalized parton distributions, from which parton distribution functions and electromagnetic form factors can be derived. A direct relation between such distributions and the so-called parton distribution amplitudes can be established since the generalized parton distributions are obtained from the overlap of light-front wave functions.


A. V. Radyushkin. Scaling limit of deeply virtual Comptonscattering.Phys. Lett. B, 380:417–425, 1996.

Xiang-Dong Ji. Gauge-Invariant Decomposition of NucleonSpin.Phys. Rev. Lett., 78:610–613, 1997.

Matthias Burkardt. Impact parameter space interpretation forgeneralized parton distributions.Int. J. Mod. Phys. A, 18:173–208, 2003.

M. Diehl.Generalized parton distributions.Phys. Rept.,388:41–277, 2003.

A. V. Belitsky and A. V. Radyushkin. Unraveling hadron struc-ture with generalized parton distributions.Phys. Rept., 418:1–387, 2005.

Matthias Burkardt. Impact parameter dependent parton distri-butions and off forward parton distributions for zeta —>0.Phys. Rev. D, 62:071503, 2000. [Erratum: Phys.Rev.D 66,119903 (2002)].

M. Guidal, M. V. Polyakov, A. V. Radyushkin, and M. Vander-haeghen. Nucleon form-factors from generalized parton distri-butions.Phys. Rev. D, 72:054013, 2005.

C. Mezrag, H. Moutarde, J. Rodr ́ıguez-Quintero, andF. Sabati ́e. Towards a Pion Generalized Parton DistributionModel from Dyson-Schwinger Equations. 6 2014.

Jin-Li Zhang, Kh ́epani Raya, Lei Chang, Zhu-Fang Cui,Jos ́e Manuel Morgado, Craig D Roberts, and Jose Rodr ́ıguez-Quintero. Measures of pion and kaon structure from gener-alised parton distributions.Phys. Lett. B, 815:136158, 2021.

Khepani Raya, Zhu-Fang Cui, Lei Chang, Jose-Manuel Mor-gado, Craig D. Roberts, and Jose Rodriguez-Quintero. Reveal-ing pion and kaon structure via generalised parton distributions.9 2021.

Shu-Sheng Xu, Lei Chang, Craig D. Roberts, and Hong-ShiZong. Pion and kaon valence-quark parton quasidistributions.Phys. Rev. D, 97(9):094014, 2018.

Zhu-Fang Cui, Minghui Ding, Fei Gao, Kh ́epani Raya, DanieleBinosi, Lei Chang, Craig D Roberts, Jose Rodr ́ıguez-Quintero,and Sebastian M Schmidt. Kaon and pion parton distributions.Eur. Phys. J. C, 80(11):1064, 2020.

N. Chouika, C. Mezrag, H. Moutarde, and J. Rodr ́ıguez-Quintero. A Nakanishi-based model illustrating the covariantextension of the pion GPD overlap representation and its ambi-guities.Phys. Lett. B, 780:287–293, 2018.

Jiunn-Wei Chen, Huey-Wen Lin, and Jian-Hui Zhang. Piongeneralized parton distribution from lattice QCD.Nucl. Phys.B, 952:114940, 2020.

C. Mezrag, L. Chang, H. Moutarde, C. D. Roberts,J. Rodr ́ıguez-Quintero, F. Sabati ́e, and S. M. Schmidt. Sketch-ing the pion’s valence-quark generalised parton distribution.Phys. Lett. B, 741:190–196, 2015.

G. M. Huber, H. P. Blok, T. Horn, E. J. Beise, D. Gaskell,D. J. Mack, V. Tadevosyan, J. Volmer, D. Abbott, K. An-iol, H. Anklin, C. Armstrong, J. Arrington, K. Assamagan,S. Avery, O. K. Baker, B. Barrett, C. Bochna, W. Boeglin,E. J. Brash, H. Breuer, C. C. Chang, N. Chant, M. E. Christy,J. Dunne, T. Eden, R. Ent, H. Fenker, E. F. Gibson, R. Gilman,K. Gustafsson, W. Hinton, R. J. Holt, H. Jackson, S. Jin,M. K. Jones, C. E. Keppel, P. H. Kim, W. Kim, P. M. King,A. Klein, D. Koltenuk, V. Kovaltchouk, M. Liang, J. Liu, G. J.Lolos, A. Lung, D. J. Margaziotis, P. Markowitz, A. Mat-sumura, D. McKee, D. Meekins, J. Mitchell, T. Miyoshi,H. Mkrtchyan, B. Mueller, G. Niculescu, I. Niculescu,Y. Okayasu, L. Pentchev, C. Perdrisat, D. Pitz, D. Potterveld,V. Punjabi, L. M. Qin, P. E. Reimer, J. Reinhold, J. Roche,P. G. Roos, A. Sarty, I. K. Shin, G. R. Smith, S. Stepanyan,L. G. Tang, V. Tvaskis, R. L. J. van der Meer, K. Vansyoc,D. Van Westrum, S. Vidakovic, W. Vulcan, G. Warren, S. A.Wood, C. Xu, C. Yan, W.-X. Zhao, X. Zheng, and B. Zihlmann.Charged pion form factor betweenQ2= 0.60and2.45GeV2.ii. determination of, and results for, the pion form factor.Phys.Rev. C, 78:045203, Oct 2008.

Gernot Eichmann, Christian S. Fischer, Esther Weil, andRichard Williams. Single pseudoscalar meson pole and pionbox contributions to the anomalous magnetic moment of themuon.Physics Letters B, 797:134855, 2019.

E. B. Dally, J. M. Hauptman, J. Kubic, D. H. Stork, A. B. Wat-son, Z. Guzik, T. S. Nigmanov, V. D. Riabtsov, E. N. Tsyganov,A. S. Vodopianov, A. Beretvas, A. Grigorian, J. C. Tompkins,T. E. Toohig, A. A. Wehmann, J. A. Poirier, C. A. Rey, J. T.Volk, P. D. Rapp, and P. F. Shepard. Direct measurement of thenegative-kaon form factor.Phys. Rev. Lett., 45:232–235, Jul1980.

S. R. Amendolia et al. A Measurement of the Kaon ChargeRadius.Phys. Lett. B, 178:435–440, 1986.

Gernot Eichmann, Christian S. Fischer, and Richard Williams.Kaon-box contribution to the anomalous magnetic moment ofthe muon.Phys. Rev. D, 101:054015, Mar 2020.




How to Cite

Higuera Angulo IM, Fernandez Rangel LA, Raya K, Bashir A. Internal structure of pion and kaon: an algebraic model and its implications. Supl. Rev. Mex. Fis. [Internet]. 2022 Jun. 8 [cited 2024 May 20];3(3):0308107 1-5. Available from: