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

Abstract

Recently [arXiv:2201.03852v2] the PANDA collaboration studied the feasibility of determining the spin and parity of the $\Xi (1690{)}^{-}$and $\Xi (1820{)}^{-}$ resonances in the $\Lambda K^{-}$ system produced in $\bar{p}p$ collisions via the reaction channel $\overline{p}p\to {\bar{\Xi }}^{+}\Lambda K^{-}$. 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 $\Xi (1690{)}^{-}$ or $\Xi (1820{)}^{-}$ had spin-1/2, provided these resonances are produced at threshold (s-wave production).

Comments: 7 pages, uses RevTeX, no figures or tables