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

Autor: Teng Ji, Xiang-Kun Dong, Ulf-G. Meißner
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 84, Iss 4, Pp 1-12 (2024)
Druh dokumentu: article
ISSN: 1434-6052
DOI: 10.1140/epjc/s10052-024-12793-8
Popis: 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 = 3 2 - baryon resonances can be produced by the Weinberg-Tomozawa interaction in unitarized chiral perturbation theory, including the N(1875), $$\Sigma (1670)$$ Σ ( 1670 ) , $$\Sigma (1910)$$ Σ ( 1910 ) , $$\Xi (1820)$$ Ξ ( 1820 ) and $$\Omega (2012)$$ Ω ( 2012 ) . Among them, the $$\Xi (1820)$$ Ξ ( 1820 ) and $$\Sigma (1670)$$ Σ ( 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.
Databáze: Directory of Open Access Journals
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