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.

Comments: 7 pages, no figures