Revisiting the assignment of $1^3{D}_1$ meson nonet

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.