To understand the structure of hadrons and their production mechanisms, it is very important to be able to identify their quantum numbers. For investigating the spin and parity quantum numbers of Ξ and Ω baryons, in particular, it is very important to understand strong interactions in the strangeness sector. At present, such quantum numbers are known for only a few of the Ξ baryons, and even the parity of the ground state Ξ(1318) has never been measured. In this article, we present a novel, model-independent way to determine the parity of Ξ baryons solely based on symmetry considerations for the hadronic reactionKN → KΞ.
IntroductionRegarding the production of strange baryons, the existing extensive studies on the production of Λ and Σ hyperons, which have strangeness S = −1, have accumulated many data for various physical quantities that are relevant for describing the production mechanisms of S = −1 baryons and the parameters of nucleon resonances. By contrast, the production of multi-strangeness Ξ (S = −2) and Ω (S = −3) baryons has not been studied very often. One reason is that the processes for producing multi-strangeness baryons from non-strangeness initial states have very small cross sections. As a result, no significant information on multi-strangeness baryons has been added during the past two decades [1].Recently, however, the interest in multi-strangeness physics is increasing. For example, the major research programs at J-PARC, which has started its operation re-