Abstract.
Modern spectroscopic data on the light non-strange meson spectrum is analyzed. It is argued that the observed regularities of the experimental spectrum for highly excited states favour a partial restoration of all approximate classical symmetries of a QCD Lagrangian (conformal, chiral and axial) broken by quantum corrections. The rate of restoration of classical symmetries is estimated. The dependence of the resonance widths on the corresponding masses is systematically checked. On average, it turns out to be universal for high excitations as predicted by the effective string description.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V.M. Braun, G.P. Korchemsky, D. Müller, Prog. Part. Nucl. Phys. 51, 311 (2003).
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri, Y. Oz, Phys. Rep. 323, 183 (2000).
G. 't Hooft, Nucl. Phys. B 72, 461 (1974)
S. Eidelman, Phys. Lett. B 592, 1 (2004).
D.V. Bugg, Phys. Rep. 397, 257 (2004).
V. Barger, D. Cline, Phys. Rev. 182, 1849 (1969).
A.V. Anisovich, V.V. Anisovich, A.V. Sarantsev, Phys. Rev. D 62, 051502(R) (2000).
C. Lovelace, Phys. Lett. B 28, 264 (1968)
O. Kaczmarek, F. Zantow, Phys. Rev. D 71, 114510 (2005).
S.S. Afonin, Phys. Lett. B 639, 258 (2006), hep-ph/0603166.
G. Höhler, in Physics with GeV-particle Beams, edited by H. Machner, K. Sistemish (World Scientific, Singapore, 1995) p. 198
M. Kirchbach, Mod. Phys. Lett. A 12, 2373
L.D. Landau, E.M. Lifshitz, Course of Theoretical Physics, Vol. 4 (Nauka, Moscow, 1989) Chapt. 1, Sect. 5.
M. Shifman, hep-ph/0507246.
M. Kirchbach, Czech. J. Phys. 43, 319 (1993)
L.Ya. Glozman, Phys. Lett. B 587, 69 (2004).
S.S. Afonin, A.A. Andrianov, V.A. Andrianov, D. Espriu, JHEP 04, 039 (2004)
S.S. Afonin, D. Espriu, to be published in JHEP
S.S. Afonin, hep-ph/0606291.
E. Klempt, Phys. Lett. B 559, 144 (2003).
A.V. Anisovich, hep-ph/0508260.
F.J. Gilman, H. Harari, Phys. Rev. 165, 1803 (1968)
A. Casher, H. Neuberger, S. Nussinov, Phys. Rev. D 20, 179 (1979).
M. Shifman, hep-ph/0009131.
G. 't Hooft, Nucl. Phys. B 75, 461 (1974)
B. Blok, M. Shifman, D. Zhang, Phys. Rev. D 57, 2691 (1998)
A curious historical remark: Balmer guessed the spectrum of excitations for the hydrogen atom just scrutinizing the available experimental data. Subsequently, the derivation of this spectrum within the Bohr model marked a milestone in the foundation of Quantum Mechanics. At present, we may be close to Balmer's situation in the case of light meson spectrum
Author information
Authors and Affiliations
Corresponding author
Additional information
U.-G. Meißner
Rights and permissions
About this article
Cite this article
Afonin, S.S. Light meson spectrum and classical symmetries of QCD. Eur. Phys. J. A 29, 327–335 (2006). https://doi.org/10.1140/epja/i2006-10080-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epja/i2006-10080-2