Three-body hadron systems with strangeness

Abstract

Recently, many efforts are being put in studying three-hadron systems made of mesons and baryons and interesting results are being found. In this talk, I summarize the main features of the formalism used to study such three hadron systems with strangeness $S=-1,0$ within a framework built on the basis of unitary chiral theories and solution of the Faddeev equations. In particular, I present the results obtained for the $\pi \bar{K}N$, $K\bar{K}N$ and $KK\bar{K}$ systems and their respective coupled channels. In the first case, we find four $\Sigma$'s and two $\Lambda$'s with spin-parity $J^P=1/2^{+}$, in the 1500-1800 MeV region, as two meson-one baryon s-wave resonances. In the second case, a $1/2^{+}$ $N^{\ast }$ around 1900 MeV is found. For the last one a kaon close to 1420 MeV is formed, which can be identified with K(1460).

Proceeding written for the HYP2012 conference

References in corpus (8)

• K^- p scattering length from scattering experiments
• Three body resonances in two meson-one baryon systems
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• The K+K+ Scattering Length from Lattice QCD
• Dynamical generation of pseudoscalar resonances
• $\Sigma$ Resonances from $K^{-}N\to \pi \Lambda$ reactions with the center of mass energy from 1550 to 1676 MeV

Cited by in corpus (2)

• Three-body model for $K(1460)$ resonance
• The charge and mass symmetry breaking in the $KK\bar{K}$ system