The composite nature of the $\Lambda (1520)$ resonance

Abstract

Recently, the Weinberg compositeness condition of a bound state was generalized to account for resonant states and higher partial waves. We apply this extension to the case of the $\Lambda (1520)$ resonance and quantify the weight of the meson-baryon components in contrast to other possible genuine building blocks. This resonance was theoretically obtained from a coupled channels analysis using the s-waves $\pi {\Sigma }^{\ast }$, $K{\Xi }^{\ast }$ and the d-waves $\bar{K}N$ and $\pi \Sigma$ channels applying the techniques of the chiral unitary approach. We obtain that this resonance is essentially dynamically generated from these meson-baryon channels, leaving room for only $15\%$ weight of other kind of components into its wave function.

References in corpus (4)

• Isospin breaking effects in the X(3872) resonance
• Couplings in coupled channels versus wave functions in the case of resonances: application to the two $\Lambda (1405)$ states
• Unitary coupled channel analysis of the $\Lambda (1520)$ resonance
• Testing the nature of the $\Lambda (1520)$ resonance in proton-induced production

Cited by in corpus (5)

• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
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• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• Compositeness of $T_{cc}$ and $X(3872)$ by considering decay and coupled-channels effects
• Compositeness of hadrons, nuclei, and atomic systems