Study of the Decay and Production Properties of ${D}_{s1}\left(2536\right)$ and ${D}_{s2}^{*}\left(2573\right)$

The ${e}^{+}{e}^{-}\to {D}_{s}^{+}{D}_{s1}\left(2536{\right)}^{-}$ and ${e}^{+}{e}^{-}\to {D}_{s}^{+}{D}_{s2}^{*}\left(2573{\right)}^{-}$ processes are studied using data samples collected with the BESIII detector at center-of-mass energies from 4.530 to 4.946 GeV. The absolute branching fractions of ${D}_{s1}\left(2536{\right)}^{-}\to {\overline{D}}^{*0}{K}^{-}$ and ${D}_{s2}^{*}\left(2573{\right)}^{-}\to {\overline{D}}^{0}{K}^{-}$ are measured for the first time to be $\left(35.9±4.8±3.5\right)%$ and $\left(37.4±3.1±4.6\right)%$, respectively. The ${e}^{+}{e}^{-}\to {D}_{s}^{+}{D}_{s1}\left(2536{\right)}^{-}$ and ${e}^{+}{e}^{-}\to {D}_{s}^{+}{D}_{s2}^{*}\left(2573{\right)}^{-}$ cross sections are measured, and a resonant structure at around 4.6 GeV with a width of 50 MeV is observed in both processes with a statistical significance of $7.2\sigma $ and $15\sigma $, respectively. The state is observed for the first time in ${e}^{+}{e}^{-}\to {D}_{s}^{+}{D}_{s2}^{*}\left(2573{\right)}^{-}$ and could be the $Y\left(4626\right)$ found by the Belle oration in the ${D}_{s}^{+}{D}_{s1}\left(2536{\right)}^{-}$ final state, since they have similar masses and widths. There is also evidence for a structure at around 4.75 GeV in both processes.