Effect of thresholds on the width of three-body resonances

Abstract

It has been recently reported an intriguing theoretical result of a narrow three-body resonance with a large available phase space. The resonance was reported in the $N\Lambda \Lambda -\Xi NN$ system near the $\Xi d$ threshold, having a very small width in spite of the open $N\Lambda \Lambda$ channel lying around 23 MeV below the $\Xi NN$ channel. We use first-order perturbation theory as a plausible argument to explain this behavior. We apply our result to realistic local interactions. Other systems involving several thresholds are likely to follow the same behavior.

9 pages, 4 figures

References in corpus (2)

• Multiquark Resonances
• Quark mass dependence of H-dibaryon in $\Lambda \Lambda$ scattering

Cited by in corpus (4)

• $\Omega NN$ and $\Omega \Omega N$ states
• Width of a two-body coupled-channel resonance
• Hidden and open heavy-flavor hadronic states
• Neutral baryonic systems with strangeness