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

## TL;DR

This paper analyzes the spectrum of $sar s$ mesons using Regge trajectories, providing mass and leptonic width predictions for specific states, and relating them to observed resonances.

## Contribution

It offers a phenomenological analysis of $sar s$ mesons with new mass and width estimates based on Regge trajectories, connecting theoretical predictions with experimental data.

## Key findings

- Mass of $ ext{phi}(3S)$ is 2100(20) MeV.
- Mass of $ ext{phi}(2D)$ is 2180(5) MeV, matching $ ext{phi}(2170)$.
- Leptonic widths are estimated with some theoretical uncertainties.

## 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 $\phi(3 ^3S_1)$ state the mass $M(\phi(3S))=2100(20)$ MeV and the leptonic width $\Gamma_{ee}(\phi(3S))=0.27(2)$ keV are obtained, while the mass of the $2 ^3D_1$ state, $M(\phi(2 ^3D_3))=2180(5)$ MeV, appears to be in agreement with the mass of the $\phi(2170)$ resonance, and its leptonic width, $\Gamma_{ee}(2 ^3D_1)=0.20\pm 0.10$ keV, has a large theoretical uncertainty, depending on the parameters of the flattened confining potential.