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Meson mass spectrum and OPE : matching to the large-N c QCD
| Content Provider | Semantic Scholar |
|---|---|
| Author | Andrianov, Alexandr Afonin, Sergey S. |
| Copyright Year | 2002 |
| Abstract | The relations between masses and decay constants of variety of meson resonances in the energy range 0–3 GeV are verified from the string-like, linear mass spectrum for vector, axial-vector, scalar and pseudoscalar mesons with a universal slope. The way to match the universality with the Operator Product Expansion (OPE) is proposed. The necessity of small deviations from linearity in parameterization of the meson mass spectrum and their decay constants is proven from matching to OPE. As it follows from phenomenology [1, 2] the masses squared of mesons of a given spin increase linearly with the number of (radial) excitation n which can be thought of as a hint on the string structure of QCD. The string picture gives an equal slope of these trajectories for different quarkonium mesons since this quantity is proportional to the string tension depending on gluodynamics only. In our talk we examine possible corrections to the linear trajectories for vector (V), axial-vector (A), scalar (S), and pseudoscalar (P) case. Our method is based on the consideration of two-point correlators of quark currents in the large-Nc limit of QCD [3]. On one hand, by virtue of confinement they are saturated by an infinite set of narrow meson resonances, on the other hand their high-energy asymptotics are provided by the perturbation theory and the OPE [4] with condensates. We adopt the following ansatz for the meson mass spectrum (compare to [5]): mR(n) = m 2 0,R + an + dR n + 1 , (1) Talk at V-th International Conference “Quark Confinement and the Hadron Spectrum”, Gargnano, Garda Lake, Italy, 10-14 September 2002. This work is supported by Grant RFBR 01-02-17152, INTAS Call 2000 grant (Project 587), Russian Ministry of Education grant E00-33-208, the Program ”Universities of Russia: Fundamental Investigations” (grant UR.02.01.001). S.A. is also supported by Grant INTAS-YS 4384 and Grant for young scientists of St.Petersburg M02-2.4K-15. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0212171v3.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0212171v1.pdf |
| Alternate Webpage(s) | http://www.openaccessrepository.it/record/16821/files/0212171v3.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0212171v2.pdf |
| Alternate Webpage(s) | http://cds.cern.ch/record/596566/files/0212171.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Excitation M02 MATCHING Mass Effect Trilogy Mass Spectrometry Mesons Perturbation theory Quark (kernel) Radial (radio) Tension Universal Turing machine Universities phosphoethanolamine |
| Content Type | Text |
| Resource Type | Article |
