Electromagnetic form-factor of vector mesons in the relativistic quark model

  • Viktor V. Andreev Francisk Skaryna Gomel State University, 104 Saveckaja Street, Gomel 246019, Belarus
  • Vadzim Yu. Haurysh Sukhoi State Technical University of  Gomel, 48 Kastryčnika Avenue, Gomel 246746, Belarus

Abstract

In paper studied the behavior of electromagnetic form-factors of the V → Pl+l- transitions for vector V and pseudoscalar P mesons within the framework of the relativistic quark model, based on the point form of Poincaré-invariant quantum mechanics. Based on the self-consistent description of the lepton and radiative decay constants of pseudoscalar and vector mesons, the behavior of the form-factors, depending on the transmitted momentum, for the ω → π0l+l- and φ → ηl+l- processes is obtained. Thenumerical results within the framework of the proposed model are compared with modern experimental data. Shown, that the behavior of form-factors is in good agreement with experiment. Acomparative analysis of the results obtained in different forms of Poincaré-invariant quantum mechanics will allow to research the role of various approximations often used in calculations and in practice, and also check the unitary equivalence of the different forms of dynamics.

Author Biographies

Viktor V. Andreev, Francisk Skaryna Gomel State University, 104 Saveckaja Street, Gomel 246019, Belarus

doctor of science (physics and mathematics); professor at the department of theoretical physics, faculty of physics and information technologies

Vadzim Yu. Haurysh, Sukhoi State Technical University of  Gomel, 48 Kastryčnika Avenue, Gomel 246746, Belarus

senior lecturer at the department of mechanics, faculty of mechanical engineering

References

  1. Babusci D, Balwierz-Pytkog I, Bencivennih G, Bloiseh C, Bossih F, Branchini P, et al. Stydy of the Dalitz decay ee−with the KLOE detector. Physics Letters B. 2015;742:1– 6. DOI: 10.1016/j.physletb.2015.01.011.
  2. Anastasi A, Babusci D, Bencivenni G, Berlowski M, Bloise C, Bossi F, et al. Measurement of the 0ee−transition form factor with the KLOE detector. Physics Letters B. 2016;757:362–367. DOI: 10.1016/j.physletb.2016.04.015.
  3. Adlarson P, Afzal F, Aguar-Bartolomé P, Ahmed Z, Annand JRM, Arends HJ, et al. Measurement of the 0ee−and ee−Dalitz decays with the A2 setup at MAMI. Physical Review C. 2017;95:035208. DOI: 10.1103/PhysRevC.95.035208.
  4. Amelino-Camelia G, Archilli F, Babusci D, Badoni D, Bencivenni G, Bernabeu J, et al. Physics with the KLOE-2 experiment at the upgraded DAFNE. European Physical Journal C. 2010;68(3– 4):619 – 681. DOI: 10.1140/epjc/s10052-010-1351-1.
  5. Jaus W. Relativistic constituent quark model of electroweak properties of light mesons. Physical Review D. 1991;44:2851–2859. DOI: 10.1103/PhysRevD.44.2851.
  6. KrutovAF, Polezhaev RG, Troitsky VE. Magnetic moment of the meson in instant-form relativistic quantum mechanics. Physi­ cal Review D. 2018;97:033007. DOI: 10.1103/PhysRevD.97.033007.
  7. Desplanques B. Dirac’s inspired point form and hadron form factors. Nuclear Physics A. 2005;755:303–306. DOI: 10.1016/j. nuclphysa.2005.03.032.
  8. Melde T, Canton L, Plessas R, Wagenbrunn RF. Spectator-model operators in point-form relativistic quantum mechanics. Euro­ pean Physical Journal A. 2005;25:97–105. DOI: 10.1140/epja/i2004-10276-4.
  9. Keister BD, Polyzou WN. Relativistic Hamiltonian dynamics in nuclear and particle physics. In: Negele JW, Vogt EW, editors. Advances in Nuclear Physics. Volume 20. New York, London: Springer; 1991. p. 225– 479.
  10. Andreev VV, Haurysh VYu. Radiative decays of light vector mesons in Poincare-invariant quantum mechanics. Journal of Physics: Conference Series. 2016;678:1–5. DOI: 10.1088/1742-6596/678/1/012041.
  11. Andreev VV, Haurysh VYu. Constituent quark masses in Poincaré-invariant quantum mechanics. Journal of Physics: Confe­ rence Series. 2017;938:1–5. DOI: 10.1088/1742-6596/938/1/0120.
  12. Tanabashi M, Hagiwara K, Hikasa K, Nakamura K, Sumino Y, Takahashi F, et al. Review of particle physics. Physical Re­ view D. 2018;98:030001. DOI: 10.1103/PhysRevD.98.030001.
  13. Petronzio R, Simula S, Ricco G. Possible evidence of extended objects inside the proton. Physical Review D. 2003;67:094004. DOI: 10.1103/PhysRevD.67.094004.
  14. Ambrosino F, AntonelliA, Anton M, Archilli F, Beltrame P, Bencivenni G, et al. −physics at KLOE. Proceeding of science. 2009;CD09:045.
  15. Feldmann T, Kroll P, Stech B. Mixing and decay constants of pseudoscalar mesons: The sequel. Physics Letters B. 1999;448: 339 –346. DOI: 10.1016/S0370-2693(99)00085-4.
Published
2019-02-10
Keywords: quark, hadron, radiative decay, Poincaré group, point-form of dynamics
How to Cite
Andreev, V. V., & Haurysh, V. Y. (2019). Electromagnetic form-factor of vector mesons in the relativistic quark model. Journal of the Belarusian State University. Physics, 1, 63-71. Retrieved from https://journals.bsu.by/index.php/physics/article/view/1384
Issue
No 1 (2019): Journal of the Belarusian State University. Physics
Section
Atomic Nucleus and Elementary Particle Physics

Copyright (c) 2019 Journal of the Belarusian State University. Physics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

The authors who are published in this journal agree to the following:

  1. The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
  2. The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
  3. The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)