EUROPEAN PHYSICAL JOURNAL C, cilt.78, 2018 (SCI İndekslerine Giren Dergi)
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 (1690) -> Sigma K and Xi (1690) -> 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 (Xi) over tilde and ratio of the Br((Xi) over tilde -> Sigma K)/Br((Xi) over tilde -> Lambda K), with (Xi) over tilde 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 (1690) state, most probably, has negative parity.