Published January 1, 2018 | Version v1
Journal article Open

Analysis of the structure of $\Xi \left(1690\right)$ through its decays

  • 1. Physics Department, Middle East Technical University, Ankara, 06531, Turkey
  • 2. School of Physics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
  • 3. Department of Physics, Kocaeli University, Izmit, 41380, Turkey

Description

The mass and pole residue of the first orbitally and radially excited $\Xi $ state as well as the ground state residue are calculated by means of the two-point QCD sum rules. Using the obtained results for the spectroscopic parameters, the strong coupling constants relevant to the decays $\Xi \left(1690\right)\to \Sigma K$ and $\Xi \left(1690\right)\to \Lambda K$ are calculated within the light-cone QCD sum rules and width of these decay channels are estimated. The obtained results for the mass of $\stackrel{~}{\Xi }$ and ratio of the $Br\left(\stackrel{~}{\Xi }\to \Sigma K\right)/Br\left(\stackrel{~}{\Xi }\to \Lambda K\right)$ , with $\stackrel{~}{\Xi }$ representing the orbitally excited state in $\Xi $ channel, are in nice agreement with the experimental data of the Belle Collaboration. This allows us to conclude that the $\Xi \left(1690\right)$ state, most probably, has negative parity.

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