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.
Categories: hep-ph