Meson masses within the model of induced nonlocal quark currents
| Autor: | Ja. V. Burdanov, S. A. Solunin, S. N. Nedelko, G. V. Efimov |
|---|---|
| Rok vydání: | 1996 |
| Předmět: |
Physics
Quark Quantum chromodynamics Nuclear and High Energy Physics Particle physics Meson High Energy Physics::Lattice Nuclear Theory High Energy Physics::Phenomenology QCD vacuum Center (category theory) FOS: Physical sciences Quarkonium High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) High Energy Physics::Experiment Color confinement Nuclear Experiment Chiral symmetry breaking |
| Zdroj: | Physical Review D. 54:4483-4498 |
| ISSN: | 1089-4918 0556-2821 |
| Popis: | The model of induced quark currents formulated in our recent paper (Phys. Rev. D51, 176) is developed. The model being a kind of nonlocal extension of the bosonization procedure is based on the hypothesis that the QCD vacuum is realized by the (anti-)self-dual homogeneous gluon field. This vacuum field provides the analytical quark confinement. It is shown that a particular form of nonlocality of the quark and gluon propagators determined by the vacuum field, an interaction of quark spin with the vacuum gluon field and a localization of meson field at the center of masses of two quarks can explain the distinctive features of meson spectrum: Regge trajectories of radial and orbital excitations, mass splitting between pseudoscalar and vector mesons, the asymptotic mass formulas in the heavy quark limit: $M_{Q\bar Q}\to 2m_Q$ for quarkonia and $M_{Q\bar q}\to m_Q$ for heavy-light mesons. With a minimal set of parameters (quark masses, vacuum field strength and the quark-gluon coupling constant) the model describes to within ten percent inaccuracy the masses and weak decay constants of mesons from all qualitatively different regions of the spectrum. Comment: 31 pages, LaTex |
| Databáze: | OpenAIRE |
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