Spin-dependent interactions in quarkonia

Abstract

The spin-dependent interactions in mesons are considered in detail in the framework of the Field Correlator Method. Analytic expressions for the spin-dependent potentials in heavy and light quarkonia are derived with the QCD string moment of inertia taken into account. Recent lattice data are analysed using these formulae and the data are shown to be consistent with very small values of the gluonic correlation length, <0.1 fm. The Field Correlator and the Eichten-Feinberg definitions of the spin-dependent potentials in the lowest, Gaussian approximation for the QCD vacuum are compared to one another and the two approaches are shown to be equivalent in the limit of a vanishing vacuum correlation length, whereas for finite values of the latter the difference between these two approaches can be explained by the contribution of the higher-order field corelators, starting from the quartic one.

RevTeX4, 37 pages, to appear in Phys.Rev.D

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• Deconfinement and quark-gluon plasma
• Dielectron widths of the S-, D-vector bottomonium states
• Two-photon and two-gluon decays of p-wave heavy quarkonium using a covariant light-front approach
• The Hyperfine Splittings in Bottomonium and the $B_q(q=n,s,c)$ Mesons
• Spin interactions in mesons in strong magnetic field
• Light unflavor vector meson spectroscopy around the mass range of $2.4\sim 3$ GeV and possible experimental evidence
• Leading-twist light cone distribution amplitudes for p-wave heavy quarkonium states
• Nonperturbative SU(3) thermodynamics and the phase transition
• The $c\bar{c}$ interaction above threshold and the radiative decay $X(3872)\to J/\psi \gamma$
• The radial Regge trajectories and leptonic widths of the isovector mesons
• The Hyperfine Splittings in Heavy-Light Mesons and Quarkonia
• QED spectra in the path integral formalism
• Topologically Massive Spin-1 Particles and Spin-Dependent Potentials
• Radial Regge trajectories for higher $\psi (nS)$ and $\psi (nD)$ states
• The two-channel exotic charmonium-like resonances in the mass region $(3900-4700)$ MeV
• Exact relativistic Green's functions for the time-independent potentials
• Chiral symmetry and the properties of hadrons in the Generalised Nambu-Jona-Lasinio model
• Baryons in the Field Correlator Method: Effects of the Running Strong Coupling
• The colormagnetic confinement in QCD