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

Recently [arXiv:2201.03852v2] the PANDA collaboration studied the feasibility of determining the spin and parity of the $Ξ(1690)^{-}$and $Ξ(1820)^{-}$ resonances in the $ΛK^-$ system produced in $\bar{p}p$ collisions via the reaction channel $\overline{p} p \rightarrow \barΞ^{+} ΛK^{-}$. 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 $Ξ(1690)^{-}$ or $Ξ(1820)^{-}$ had spin-1/2, provided these resonances are produced at threshold (s-wave production).
7 pages, uses RevTeX, no figures or tables