Kaon and strangeonium spectrum in Regge phenomenology

TL;DR

This paper systematically studies the mass spectra of kaons and strangeonium mesons using Regge phenomenology, deriving relations between Regge parameters and meson masses to predict excited states and guide future experiments.

Contribution

It introduces a comprehensive Regge-based framework to predict the masses and quantum numbers of excited kaons and strangeonium mesons, including states not yet observed.

Findings

Derived relations between Regge slope, intercept, and meson masses.

Predicted masses and quantum numbers for excited meson states.

Compared theoretical spectrum with experimental data and other models.

Abstract

In the present work, the mass-spectra of the light mesons, the kaons ($u\overline{s}$) and strangeonium ($s\overline{s}$) is systematically studied within the framework of Regge phenomenology. Several relations between Regge slope, intercept, and meson masses are extracted with the assumption of linear Regge trajectories. Using these relations the ground state masses ($1^{1}S_{0}$ and $1^{3}S_{1}$) of the pure $s\overline{s}$ states are evaluated. Further, the Regge slopes are extracted for kaons and strangeonium to obtain the orbitally excited state masses in the ($J,M^{2}$) plane. Similarly, the values of Regge parameters are calculated in the ($n,M^{2}$) plane for each Regge trajectory and obtain the radially excited state masses of mesons lying on that Regge trajectory. We compared our obtained spectrum with the experimental observations where available and with the predictions of other theoretical approaches. Here, we predict the possible quantum numbers of several recently observed experimental states, which still require further verification, and also evaluate the higher orbital and radial excited states that may be detected in the near future. We expect our predicted results could provide valuable information for future experimental searches for missing excited kaons and strangeonium mesons.