Description of scalar mesons as two and four quark states

  • Elena Z. Avakyan Sukhoi State Technical University of Gomel, 48 Kastryčnika Avenue, Gomel 246746, Belarus
  • Sergey L. Avakyan Sukhoi State Technical University of Gomel, 48 Kastryčnika Avenue, Gomel 246746, Belarus

Abstract

Light scalar mesons were studied in the framework of quark models. It is shown that, in the Quark Confinment Model (QCM), the description of these mesons requires the introduction of an additional term with the derivative in the Lagrangian of interaction. The parameters of the additional interaction were obtained, the mass of the f0(600) meson (mf0 = 500-515) was fitted from experimental data on the lengths of π scattering. Light scalar mesons were also (600) considered in the Confined Covariant Quark Model (CCQM), in which the interaction of a meson with quarks is non-local. In the framework of the CCQM, interactions with two-quark and four-quark currents were considered. It is shown that the SPP decay form factor has the correct behavior in both schemes. This suggests that scalar mesons can be described as both two-quark and four-quark states.

Author Biographies

Elena Z. Avakyan, Sukhoi State Technical University of Gomel, 48 Kastryčnika Avenue, Gomel 246746, Belarus

PhD (physics and mathematics), docent; associate professor at the department of higher mathematics, faculty of automated and information systems

Sergey L. Avakyan, Sukhoi State Technical University of Gomel, 48 Kastryčnika Avenue, Gomel 246746, Belarus

PhD (physics and mathematics), docent; associate professor at the department of higher mathematics, faculty of automated and information systems

References

  1. Amsler С. Note on scalar mesons below 2 GeV. Chinese Physics C. 2016;40(10):100001.
  2. Estabrooks P. Where and what are the scalar mesons? Physics Review D. 1979;19:2678.
  3. Tanabashi M, Hagiwara K, Hikasa K, Nakamura K, Sumino Y, Takahashi F, et al. [collaboration]. Review of particle physics. Physical Review D. 2018;98:030001. DOI: 10.1103/PhysRevD.98.030001.
  4. Boglione M, Pennington MR. Dynamical generation of scalar mesons. Physical Review D. 2002;65:114010. DOI: 10.1103/ PhysRevD.65.114010.
  5. Tornqvist NA. Understanding the scalar meson q anti-q nonet. Zeitschrift für Physik C. 1995;68:647– 660. DOI: 10.1007/BF 01565264.
  6. Gell-Mann M. A schematic model of baryons and mesons. Physics Letters. 1964;8:214 –215. DOI: 10.1016/S0031-9163(64) 92001-3.
  7. Zweig G. An Su(3) model for strong interaction symmetry and its breaking. Version 2. In: Lichtenberg D, Rosen S, editors. Developments in the Quark Theory of Hadrons. Volume 1. Nonantum: Hadronic Press; 1980. p. 22–101.
  8. t’Hooft G, Isidori G, Maiani L, PolosaAD, RiquerV. Atheory of scalar mesons. Physics Letters B. 2008;662(5):424 – 430. DOI: 10.1016/j.physletb.2008.03.036.
  9. Alford M, Jaffe RL. Insight into the scalar mesons from a lattice calculation. Nuclear Physics B. 2000;578(1–2):367–382. DOI: 10.1016/S0550-3213(00)00155-3.
  10. Kaminski R, Mennessier G, Narison S. Gluonium nature of the sigma/ f(0)(600) from its coupling to K anti-K. Physics Let­ ters B. 2009;680:148 –153.
  11. Efimov GV, Ivanov MA. The Quark Confinement Model of Hadrons. London: Taylor Francis Group; 1993. 177 p.
  12. Brantz T, Faessler A, Gutsche T, Ivanov MA, Korner JG, Lyubovitskij VE. Relativistic constituent quark model with infrared confinement. Physical Review D. 2010;81:034010. DOI: 10.1103/PhysRevD.81.034010.
  13. Hagiwara K. [None Particle Data Group]. Review of Particle Properties. Physical Review D. 2002;66(1):010001. DOI: 10.1103/ PhysRevD.66.010001.
  14. Rosselet L, Extermann P, Fischer J, Guisan O, Mermod R, Sachot R, et al. Experimental study of 30,000 K(e4) decays. Physical Review D. 1977;15(3):574 –586. DOI: 10.1103/PhysRevD.15.574.
  15. Pislak S, Appel R, Atoyan GS, Bassalleck B, Bergman DR, Cheung N, et al. High statistics measurement of K decay properties. Physical Review D. 2003;67(7):072004. DOI: 10.1103/PhysRevD.67.072004.4
  16. Bizzeti A. Precision measurements of scattering lengths at NA48/2. AIP Conference Proceedings. 2011;1374(1):639 – 642. DOI: 10.1063/1.3647221.
Published
2019-02-10
Keywords: low energy interactions, quark models, scalar mesons
How to Cite
Avakyan, E. Z., & Avakyan, S. L. (2019). Description of scalar mesons as two and four quark states. Journal of the Belarusian State University. Physics, 1, 72-87. Retrieved from https://journals.bsu.by/index.php/physics/article/view/1385
Section
Atomic Nucleus and Elementary Particle Physics