Revisiting the assignment of $1^{3}D_{1}$ meson nonet

TL;DR

This paper reevaluates the mass spectrum of the $1^{3}D_{1}$ meson nonet using Regge phenomenology and the $^{3}P_{0}$ decay model, providing updated mass predictions and decay properties to guide future experiments.

Contribution

It offers new mass estimates and decay analyses for the $1^{3}D_{1}$ meson nonet based on Regge relations and the $^{3}P_{0}$ model, suggesting further experimental tests.

Findings

Masses of kaon and $sar{s}$ $1^{3}D_{1}$ mesons are estimated.

Decay properties of these mesons are analyzed within the $^{3}P_{0}$ model.

Results provide mass constraints for future experimental identification.

Abstract

Based on the mass relations from the Regge phenomenology, we revisit the mass spectrum of $1^{3}D_{1}$ meson nonet. The masses of kaon and $s\bar{s}$ member of $1^{3}D_{1}$ ($1^{3}D_{1}(s\bar{s})$) meson nonet are obtained and the results are compared with the values from different theoretical models. Moreover, the strong decay properties of the kaon and $1^{3}D_{1}(s\bar{s})$ are presented in the $^{3}P_{0}$ model. On the basis of results, we suggest the assignment of $1^{3}D_{1}$ meson nonet need further tested in the new experiment in the future. Our results also provide mass constraints for the study of these states.