Possible Assignment of Excited Light $^3S_1$ Vector Mesons

TL;DR

This paper reexamines the classification of excited light vector mesons using Regge trajectories and decay models, proposing new assignments and clarifying inconsistencies in experimental data.

Contribution

It provides a detailed analysis of light vector meson states, suggesting new assignments and resolving previous ambiguities with theoretical models and recent experimental data.

Findings

Inconsistent data of $ ho(2150)$ may include two structures: $ ho(4^3S_1)$ and $ ho(4^3S_1)$.

Possible explanations for the $K^*(2^3S_1)$ assignment issues.

Predictions of missing meson states based on Regge trajectories and decay models.

Abstract

We reanalyze the problems in the assignment of 3$^3S_1$ and 4$^3S_1$ light mesons, which have not yet been well established with the $q\bar{q}$ quark model. Regge trajectories and the $^3P_0$ decay model are used respectively to study the mass and width of the observed states and predict the missing ones. By comparing our calculations with the latest experiments, we suggest that the inconsistent data of $\rho(2150)$ may include two similar structures $\rho(4^3S_1)$ and $\omega(4^3S_1)$. In addition, the problem of the $K^*(2^3S_1)$ assignment, with two observed states $K^*(1410)$ and $K^*(1680)$, is investigated, with several possible explanations.