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 $s\overline{s}$ member of 1${}^3$D${}_1$ (1${}^3$D${}_1$($s\overline{s}$) 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${}_1$($s\overline{s}$) 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.