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

Magas, V. K. and Valcarce Cadenas, V. and Feijoo, A. (2024) The Ξ(1620) and Ξ(1690) molecular states from meson-baryon interaction up to next-to-leading order. Il nuovo cimento C, 47 (4). pp. 1-8. ISSN 1826-9885

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Abstract

We study s-wave meson-baryon interactions with strangeness S = −2 in a coupled-channels chiral approach incorporating not only the leading WeinbergTomozawa term in the Lagrangian, but also the Born terms and next-to-leading order contributions. Our model is fitted to the experimental data set of the nonleptonic Ξ+c → π+π+Ξ− weak decay from the Belle Collaboration, where the Ξ(1620) and Ξ(1690) states were observed in their decay to π+Ξ−. We calculate the invariant mass distribution of the π+Ξ− final state, showing that our theoretical prediction is capable of explaining the experimental data by reproducing the two resonance peaks. Regarding the pole content, we are able to dynamically generate two poles not far away from the known experimental values of the Ξ(1620) and Ξ(1690) states. In our approach these resonances have a molecular nature, where the lowest one strongly couples to the πΞ channels, while the second pole couples more strongly to the K¯ Σ channels.

Item Type: Article
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 11 Sep 2024 15:29
Last Modified: 11 Sep 2024 15:29
URI: http://eprints.bice.rm.cnr.it/id/eprint/23130

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