Chiral coupled channel dynamics of the Lambda(1520) and the K-P -> pi0 pi0 Lambda reaction

Abstract

We study the $\Lambda (1520)D_{03}$ in a chiral coupled channel approach. This resonance appears as dynamically generated from the interaction of the decuplet of baryons and the octet of mesons in s-wave, and its treatment is improved here with the phenomenological inclusion of the $\bar{K}N$ and $\pi \Sigma$ channels in d-wave. Since the most important building block in the $\Lambda (1520)$ is the $π\Sgs(1385)P_{13}$ channel, we study the $K^- p \to π\Sgs(1385) (π^0 Λ)$ reaction in the region of the $\Lambda (1520)$ and above, and compare the results with recent experimental data. With the coupling of the $\Lambda (1520)$ to the $π\Sgs$ channel predicted by the theory we find a cross section in good agreement with the data and there is as well agreement for the invariant mass distributions which show a neat peak for the $\Sgs(1385)$ in the $({\pi }^0\Lambda )$ spectrum. Predictions are made of a strong $\Lambda (1520)$ resonant peak of the cross section, as a function of the $K^{-}$ momentum, in the region below the measured data which, if confirmed experimentally, would give a stronger support to the idea of the $\Lambda (1520)$ as a dynamically generated resonance.

References in corpus (2)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Baryonic Resonances from Baryon Decuplet-Meson Octet Interaction

Cited by in corpus (18)

• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Odd Parity Light Baryon Resonances
• Unitary coupled channel analysis of the $\Lambda (1520)$ resonance
• Radiative decay of the Lambda(1520)
• Molecular picture for the $\Omega (2012)$ revisited
• Clues to the nature of the Delta^*(1700) resonance from pion- and photon-induced reactions
• Revisiting the $\Omega (2012)$ as a hadronic molecule and its strong decays
• Theoretical study of the $\Omega (2012)$ state in the ${\Omega }_c^0\to {\pi }^{+}\Omega (2012{)}^{-}\to {\pi }^{+}(\bar{K}\Xi {)}^{-}$ and ${\pi }^{+}(\bar{K}\Xi \pi {)}^{-}$ decays
• Radiative decay of the Delta(1700)
• The $K^{-}p\to {\Sigma }^0{\pi }^0$ reaction at low energies in a chiral quark model
• Coupling of \bar K*N to the Lambda(1520)
• $\Lambda (1520)$ and $\Sigma (1385)$ in the nuclear medium
• Testing the nature of the $\Lambda (1520)$ resonance in proton-induced production
• $A$ dependence of the $\gamma$- and $p$-induced production of the $\Lambda (1520)$ from nuclei
• Chiral dynamics of baryon resonances and hadrons in a nuclear medium
• Testing the nature of the $\Lambda$(1520) in the $J/\psi \to \bar{\Lambda }{K}^{-}p$ and $J/\psi \to \bar{\Lambda }{\pi }^{+}{\pi }^{-}\Lambda$ reactions
• Resonances in chiral unitary approaches
• Role of the $\Lambda (1600)$ in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction