Two observed structures with $M=1868\pm 8_{-57}^{+40}\mathrm{MeV}$ and $M=2073\pm 94_{-240}^{+245}\mathrm{MeV}$ are the same states [$K_2^{*}(1980)$] in Particle Data Group. In this paper, analysis of the mass spectrum and calculation of the strong decay for $K_2^{*}$ mesons support the assignment of $2^3{P}_2$ and $1^3{F}_2$ as the low- and high-mass states for $K_2^{*}(1980)$. This analysis reveals very important criteria for the assignment of the observed $K_2^{*}(1980)$, and experimental findings for this assignment are suggested. Additionally, some partial decay widths are predicted based on the high excitations of the $K_2^{*}$ family. This study is crucial for establishing and searching for the higher excitations in the future.

• Received 2 October 2022
• Accepted 21 February 2023

DOI:https://doi.org/10.1103/PhysRevD.107.074008

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Published by the American Physical Society