Interactions of the pseudoscalar meson octet and the baryon decuplet in the continuum and a finite volume

Teng Ji; Xiang-Kun Dong; Ulf-G. Meißner

doi:10.1140/epjc/s10052-024-12793-8

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 408
https://doi.org/10.1140/epjc/s10052-024-12793-8

Regular Article - Theoretical Physics

Interactions of the pseudoscalar meson octet and the baryon decuplet in the continuum and a finite volume

Teng Ji¹^a, Xiang-Kun Dong¹ and Ulf-G. Meißner¹^,2^,3

¹ Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
² Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany
³ Tbilisi State University, 0186, Tbilisi, Georgia

^a teng@hiskp.uni-bonn.de

Received: 2 February 2024
Accepted: 8 April 2024
Published online: 22 April 2024

Abstract

This study focuses on the interaction of the pseudoscalar meson octet and the baryon decuplet. In the continuum, it is observed that several $J^{P} = {\frac{3}{2}}^{-}$ $J^{P}=\frac{3}{2}^-$ baryon resonances can be produced by the Weinberg-Tomozawa interaction in unitarized chiral perturbation theory, including the N(1875), $Σ (1670)$ $\Sigma (1670)$ , $Σ (1910)$ $\Sigma (1910)$ , $Ξ (1820)$ $\Xi (1820)$ and $Ω (2012)$ $\Omega (2012)$ . Among them, the $Ξ (1820)$ $\Xi (1820)$ and $Σ (1670)$ $\Sigma (1670)$ may exhibit a potential two-pole structures. The unitarized chiral perturbation approach is then applied as the underlying theory to predict the energy levels of these systems in a finite volume. These energy levels are well described by the K-matrix parameterization constrained by flavor SU(3) symmetry. With the parameters from the best fits, the poles extracted from the K-matrix parameterization closely correspond to those derived from the underlying chiral effective field theory, as long as they are close to physical region and not significantly higher than the lowest relevant threshold.

© The Author(s) 2024

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