Three-body hadronic structure of low-lying $1/2^{+}$ $\Sigma$ and $\Lambda$ resonances

Abstract

We discuss the dynamical generation of some low-lying $1/2^{+}$ $\Sigma$'s and $\Lambda$'s in two-meson one-baryon systems. These systems have been constructed by adding a pion in $S$-wave to the $\bar{K}N$ pair and its coupled channels, where the $1/2^{-}$ $\Lambda$(1405)-resonance gets dynamically generated. We solve Faddeev equations in the coupled-channel approach to calculate the $T$-matrix for these systems as a function of the total energy and the invariant mass of one of the meson-baryon pairs. This squared $T$-matrix shows peaks at the energies very close to the masses of the strangeness -1, $1/2^{+}$ resonances listed in the particle data book.

arXiv commentContribution to the NSTAR07 conference

References in corpus (8)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Evidence for Narrow S=+1 Baryon Resonance in Photo-production from Neutron
• Chiral Dynamics of the Two Λ(1405) States
• Observation of a baryon resonance with positive strangeness in K+ collisions with Xe nuclei
• The three- and four-nucleon systems from chiral effective field theory
• The Pentaquark ${\Theta }^{+}$ in $n{K}^{+}$ and $p{K}_S^0$, and its ${\Sigma }_5^{+}$ partner
• Photoproduction of ${\Theta }^{+}$ and other pentaquark states

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