Arrangement for $K_2^*$ meson family

Abstract

Two observed structures with $M=1868 \pm 8^{+ 40}_{- 57}$ MeV and $M=2073 \pm 94^{+ 245}_{- 240}$ MeV are the same states ($K_2^*(1980)$) in PDG.The analysis of the mass spectrum and the calculation of the strong decay of $K_2^*$ mesons support the low mass state of $K_2^*(1980)$ as $2^3P_2$ and the high mass state of $K_2^*(1980)$ as $1^3F_2$ in this letter. This analysis brings us very important criterion for the assignment of the observed $K_2^* (1980)$ and experimental findings for this assignment is suggested. Additionally, prediction of some partial decay widths are made on the high excitations of $K_2^*$ family. This study is crucial to establishing and searching for their higher excitations in the future.