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

TL;DR

This paper investigates the structure and decay properties of the $ ext{Xi}(1690)$ baryon using QCD sum rules, providing theoretical mass and decay width estimates that align with experimental data, suggesting negative parity.

Contribution

It offers a novel analysis of the $ ext{Xi}(1690)$ state’s spectroscopic parameters and decay channels using advanced QCD sum rule techniques, supporting its negative parity assignment.

Findings

Mass and pole residue calculations match experimental data.

Decay width estimates agree with Belle Collaboration results.

Supports negative parity assignment for $ ext{Xi}(1690)$.

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 $Br\Big(\widetilde{\Xi}\rightarrow \Sigma K\Big)/Br\Big(\widetilde{\Xi}\rightarrow \Lambda K\Big)$, 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.