The Regge trajectories and leptonic widths of the vector $s\bar{s}$ mesons

Abstract

The spectrum of the $s\bar{s}$ mesons is studied performing a phenomenological analysis of the Regge trajectories defined for the excitation energies. For the $\varphi (3^3{S}_1)$ state the mass $M(\varphi (3S))=2100(20)$ MeV and the leptonic width ${\Gamma }_{ee}(\varphi (3S))=0.27(2)$ keV are obtained, while the mass of the $2^3{D}_1$ state, $M(\varphi (2^3{D}_3))=2180(5)$ MeV, appears to be in agreement with the mass of the $\varphi (2170)$ resonance, and its leptonic width, ${\Gamma }_{ee}(2^3{D}_1)=0.20\pm 0.10$ keV, has a large theoretical uncertainty, depending on the parameters of the flattened confining potential.

7 pages, no figures

References in corpus (8)

• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Properties of new unflavored mesons below 2.4 GeV
• Decay constants of the heavy-light mesons from the field correlator method
• Parity doubling in particle physics
• The $\mathbf{S}-\mathbf{D}$ mixing and di-electron widths of higher charmonium $1^{--}$ states
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• Proton and neutron form factors with quark orbital excitations
• Quark condensate in QCD at nonzero magnetic field and temperature
• The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
• Hadron wave functions in high-energy scattering, form factors and strong decays: the effects of the Lorentz contracted form