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

A. Feijoo; V. Valcarce; V. K. Magas

doi:10.1016/j.physletb.2023.137927

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arXiv · 2303.01323

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

A. Feijoo·V. Valcarce·V. K. Magas

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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 $Ξ(1620)$ and $Ξ(1690)$ states in very reasonable agreement with the data, and can naturally explain the puzzle with the decay branching ratios of $Ξ(1690)$. 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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A. Feijoo, V. Valcarce, V. K. Magas. 2023-03-02. The $Ξ(1620)$ and $Ξ(1690)$ molecular states from $S=-2$ meson-baryon interaction up to next-to-leading order. https://doi.org/10.1016/j.physletb.2023.137927

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