Partial-wave analysis to determine the spin of $\mathrm{\Xi }(1690{)}^{-}$ and $\mathrm{\Xi }(1820{)}^{-}$ produced in $\bar{p}p$ annihilation

Recently [arXiv:2201.03852v2] the PANDA collaboration studied the feasibility of determining the spin and parity of the $\mathrm{\Xi }(1690{)}^{-}$and $\mathrm{\Xi }(1820{)}^{-}$ resonances in the $\mathrm{\Lambda }{K}^{-}$ system produced in $\bar{p}p$ collisions via the reaction channel $\bar{p}p\to {\bar{\mathrm{\Xi }}}^{+}\mathrm{\Lambda }{K}^{-}$. This contribution aims to study these reactions using a model-independent irreducible tensor formalism developed earlier. This study leads us to identify the partial-wave amplitude, which would be zero if $\mathrm{\Xi }(1690{)}^{-}$ or $\mathrm{\Xi }(1820{)}^{-}$ had spin-1/2, provided these resonances are produced at threshold (s-wave production).