Model-independent determination of the parity of $\Xi$ hyperons

Abstract

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 $\gamma N\to KK\Xi$ 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.

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

References in corpus (8)

• Xi and Omega baryons in the Skyrme model
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• Photoproduction of Xi off nucleons
• Phenomenological model for the Kbar N --> K Xi reaction
• Production of a cascade hyperon in the K^- - proton interaction
• Role of high-spin hyperon resonances in the reaction of $\gamma p\to K^{+}{K}^{+}{\Xi }^{-}$
• Are there three Xi(1950) states?
• Spin structure of spin-1/2 baryon and spinless meson production amplitudes in photo and hadronic reactions

Cited by in corpus (8)

• $\Xi$ baryon strong decays in a chiral quark model
• $\bar{K}+N\to K+\Xi$ reaction and $S=-1$ hyperon resonances
• Why $\Xi (1690)$ and $\Xi (2120)$ are so narrow?
• Preserving Local Gauge Invariance with t-Channel Regge Exchange
• 70 Years of Hyperon Spectroscopy: A review of strange $\Xi$, $\Omega$ baryons, and the spectrum of charmed and bottom baryons
• Model-independent aspects of the reaction $\bar{K}+N\to K+\Xi$
• Double-strangeness exchange reactions in a hybrid Regge-plus-resonance approach
• Production and parity determination of $\Xi$ baryons