High spin kaons

Abstract

The COMPASS Collaboration recently reported the observation of strange-meson spectra in the reaction $K^{-}+p\to K^{-}{\pi }^{-}{\pi }^{+}+p$ and found $K_3$ and $K_4$ states, with masses of $2119\pm 13_{-12}^{+45}$ MeV and $2210\pm 40_{-30}^{+80}$ MeV, respectively. This discovery has significantly renewed interest, prompting a detailed and systematic study of high-spin kaons. In this work, we analyze the mass spectrum and the Okubo-Zweig-Iizuka-allowed two-body strong decay properties of high-spin kaons having $J^P=3^{\pm },4^{\pm }$, and $5^{\pm }$ within the framework of the modified Godfrey-Isgur model and the ${}^3{P}_0$ model. Moreover, we identify critical decay channels, which may serve as useful guidance for future experimental studies.

Comments: 13 pages, 5 figures, 9 tables. Accepted by Phys. Rev. D