Abstract
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)rightarrow Sigma K and Xi (1690) rightarrow 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 {widetilde{Xi }} and ratio of the Br(widetilde{Xi }rightarrow Sigma K)/Br(widetilde{Xi }rightarrow Lambda K), with widetilde{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 (1690) state, most probably, has negative parity.
Highlights
Understanding the spectrum of baryons and looking for new baryonic states constitute one of the main research directions in hadron physics
According to the general philosophy of QCD sum rules method, for calculation of the mass and residue of baryons the correlation function needs to be calculated in two different ways: (a) in terms of hadronic degrees of freedom and (b) in terms of perturbative and vacuum-condensates contributions expressed as functions of QCD degrees of freedom in deep- Euclidian domain q2 0
Having calculated both the hadronic and QCD sides of the correlation function, we match the coefficients of the corresponding structures q/ and I from these representations to find the following sum rules: λ2 e−
Summary
Understanding the spectrum of baryons and looking for new baryonic states constitute one of the main research directions in hadron physics. For calculation of the mass and residue of the states as the main inputs of the calculations we employ the two point QCD sum rule method.
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