Model-independent aspects of the reaction $\bar{K} + N \to K + Ξ$

Benjamin Jackson; Yongseok Oh; Helmut Haberzettl; Kanzo Nakayama

doi:10.1103/physrevc.89.025206

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arXiv · 1311.2836

Model-independent aspects of the reaction $\bar{K} + N \to K + Ξ$

Benjamin Jackson·Yongseok Oh·Helmut Haberzettl·Kanzo Nakayama

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Abstract

Various model-independent aspects of the $\bar{K} N \to K Ξ$ reaction are investigated, starting from the determination of the most general structure of the reaction amplitude for $Ξ$ baryons with $J^P=\frac12^\pm$ and $\frac32^\pm$ and the observables that allow a complete determination of these amplitudes. Polarization observables are constructed in terms of spin-density matrix elements. Reflection symmetry about the reaction plane is exploited, in particular, to determine the parity of the produced $Ξ$ in a model-independent way. In addition, extending the work of Biagi $\mathrm{\textit{et al. } [Z. Phys.\ C \textbf{34}, 175 (1987)]}$, a way is presented of determining simultaneously the spin and parity of the ground state of $Ξ$ baryon as well as those of the excited $Ξ$ states.

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Benjamin Jackson, Yongseok Oh, Helmut Haberzettl, Kanzo Nakayama. 2014-02-11. Model-independent aspects of the reaction $\bar{K} + N \to K + Ξ$. https://doi.org/10.1103/physrevc.89.025206

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