Theoretical study of the Ξ(1620) and Ξ(1690) resonances in Ξc→π+MB decays

Nonleptonic weak decays of Ξc into π+ and a meson (M)-baryon (B) final state, MB, are analyzed from the viewpoint of probing S=−2 baryon resonances, i.e., Ξ(1620) and Ξ(1690), of which spin-parity and other properties are not well known. We argue that the weak decay of Ξc is dominated by a single quark-line diagram, preferred by the Cabibbo-Kobayashi-Maskawa coefficient, color recombination factor, the diquark correlation, and the kinematical condition. The decay process has an advantage of being free from meson resonances in the π+M invariant mass distribution. The invariant mass distribution of the meson-baryon final state is calculated with three different chiral unitary approaches, assuming that the Ξ(1620) and Ξ(1690) resonances have JP=1/2−. It is found that a clear peak for the Ξ(1690) is seen in the πΞ and K¯Λ spectra. We also suggest that the ratios of the πΞ,K¯Λ, and K¯Σ final states are useful to distinguish whether the peak is originated from the Ξ(1690) resonance or it is a K¯Σ threshold effect.

Note:

13 pages, 12 figures

13.75.Jz
14.20.-c
11.30.Rd
decay: weak interaction
color: recombination
diquark: correlation
threshold: effect
Xi(1690)
mass spectrum
baryon resonance

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Figures(14)

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Eulogio Oset
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LHCb

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