Model-independent determination of the parity of $Ξ$ hyperons

Details Model-independent determination of the parity of $Ξ$ hyperons Model-independent determination of the parity of $Ξ$ hyperons

2012-01-26

arxiv.org/abs/1201.5598v4

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, REVTeX, to be published in Phys. Rev. C

Scientific paper

Based on reflection symmetry in the reaction plane, it is shown that measuring the transverse spin-transfer coefficient $K_{yy}$ in the $\bar{K}N \to K\Xi$ reaction directly determines the parity of the produced cascade hyperon in a model-independent way as $\pi_\Xi =K_{yy}$, where $\pi_\Xi =\pm 1$ is the parity. This result based on Bohr's theorem provides a completely general, universal relationship that applies to the entire hyperon spectrum. A similar expression is obtained for the photoreaction $\gamma N \to K K \Xi$ by measuring both the double-polarization observable $K_{yy}$ and the photon-beam asymmetry $\Sigma$. Regarding the feasibility of such experiments, it is pointed out that the self-analyzing property of the $\Xi$'s can be invoked, thus requiring only a polarized nucleon target.

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