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The $\Xi(1620)$ and $\Xi(1690)$ molecular states from $S=-2$ meson-baryon interaction up to next-to-leading order

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arxiv 2303.01323 v1 pith:OVA7XBSF submitted 2023-03-02 hep-ph

classification hep-ph
keywords chiralsectorborndatainteractionmeson-baryonmodelneutral
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We have studied the meson-baryon interaction in the neutral $S=-2$ sector using an extended Unitarized Chiral Perturbation Theory, which takes into account not only the leading Weinberg-Tomozawa term (as all the previous studies in $S=-2$ sector), but also the Born terms and next-to-leading order contribution. Based on the SU(3) symmetry of the chiral Lagrangian we took most of the model parameters from the BCN model \cite{Feijoo:2018den}, where these were fitted to a large amount of experimental data in the neutral $S=-1$ sector. We have shown that our approach is able to generate dynamically both $\Xi(1620)$ and $\Xi(1690)$ states in very reasonable agreement with the data, and can naturally explain the puzzle with the decay branching ratios of $\Xi(1690)$. Our results clearly illustrate the reliability of chiral models implementing unitarization in coupled channels and the importance of considering Born and NLO contributions for precise calculations.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Signatures of Odd-Parity $s$-wave $\Xi^*$ States in Femtoscopic Correlation Functions

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Using a unitarized hidden-gauge model, the authors dynamically generate Xi(1950)-like and Xi(2120)-like poles and predict femtoscopic correlation functions for six vector-baryon channels.

  2. Spectroscopic and femtoscopic insights into vector-baryon interactions in the strangeness $-1$ sector

    hep-ph 2025-07 conditional novelty 6.0 of 10

    The authors predict three Lambda* and two Sigma* resonances from vector-baryon interactions and provide femtoscopy correlation functions for six channels in the S=-1 sector.

  3. Eigenstates in coupled-channel scattering amplitude and their effects on spectrum

    hep-ph 2025-06 conditional novelty 6.0 of 10

    In coupled-channel scattering, the observable above-threshold resonance originates from the virtual-state pole, while the subthreshold quasibound state becomes a shadow pole, an interchange shown and applied to Xi resonances.

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