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

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.