Unitary coupled channel analysis of the $\Lambda (1520)$ resonance

Abstract

We study the $\Lambda (1520)$ resonance in a coupled channel approach involving the $\pi \Sigma (1385)$, $K\Xi (1530)$, $\bar{K}N$ and $\pi \Sigma$ channels. Implementing unitarity in coupled channels, we make an analysis of the relative importance of the different mechanisms which contribute to the dynamical structure of this resonance. From experimental information on some partial wave amplitudes and constraints imposed by unitarity, we get a comprehensive description of the amplitudes and hence the couplings to the different channels. We test these amplitudes in different reactions like $K^{-}p\to \Lambda \pi \pi$, $\gamma p\to K^{+}{K}^{-}p$, $\gamma p\to K^{+}{\pi }^0{\pi }^0\Lambda$ and ${\pi }^{-}p\to K^0{K}^{-}p$ and find a fair agreement with the experimental data.

arXiv comment21 pages, 9 figures

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Cited by in corpus (45)

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• Charmed and strange baryon resonances with heavy-quark spin symmetry
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• Dynamically generated open charmed baryons beyond the zero range approximation
• Exotic dynamically generated baryons with negative charm quantum number
• Photon induced Lambda(1520) production and the role of the K^* exchange
• Searching for signatures around 1920 MeV of a $N^{\ast }$ state of three hadron nature
• Further evidence for the ${\Sigma }^{\ast }$ resonance with $J^P=1/2^{-}$ around 1380 MeV
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Study of exotic hadrons in S-wave scatterings induced by chiral interaction in the flavor symmetric limit
• Compositeness of the strange, charm and beauty odd parity $\Lambda$ states
• Coupled channels dynamics in the generation of the $\Omega (2012)$ resonance
• Radiative decay of the Lambda(1520)
• Molecular picture for the $\Omega (2012)$ revisited
• Resonance on top of thresholds: the ${\Lambda }_c(2595{)}^{+}$ as an extremely fine-tuned state
• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• Clues to the nature of the Delta^*(1700) resonance from pion- and photon-induced reactions
• Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances
• Revisiting the $\Omega (2012)$ as a hadronic molecule and its strong decays
• Open charm meson in nuclear matter at finite temperature beyond the zero range approximation
• Re-analysis of the $\Lambda (1520)$ photoproduction reaction
• 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
• Roles of $a_0(980)$, $\Lambda (1670)$, and $\Sigma (1385)$ in the ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$ decay
• The composite nature of the $\Lambda (1520)$ resonance
• Study of the $\gamma d\to K^{+}{K}^{-}np$ reaction and an alternative explanation for the "${\Theta }^{+}(1540)$ pentaquark" peak
• Testing the nature of the $\Lambda (1520)$ resonance in proton-induced production
• Low energy reactions $K^{-}p\to {\Sigma }^0{\pi }^0$, $\Lambda {\pi }^0$, ${\bar{K}}^{0}n$ and the strangeness $S=-1$ hyperons
• How and when can one identify hadronic molecules in the baryon spectrum
• $A$ dependence of the $\gamma$- and $p$-induced production of the $\Lambda (1520)$ from nuclei
• A case in favor of the $N^{\ast }(1700)(3/2^{-})$
• Low energy reaction $K^{-}p\to \Lambda \eta$ and the negative parity $\Lambda$ resonances
• Photoproduction of $\gamma p\to K^{+}{\Lambda }^{\ast }(1520)$ and decay of ${\Lambda }^{\ast }(1520)\to K^{-}p$ in the Reggeized framework
• S-wave and P-wave pion-pion and kaon-pion contributions to three-body decay processes in the Resonance-Spectrum Expansion
• Proposal and theoretical formalism for studying baryon radiative decays from J/ψ\to B^*\bar B + \bar{B^*}B \to γB\bar B
• 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
• Photo- and Electron-Production of Mesons on Nucleons and Nuclei
• Resonances in chiral unitary approaches
• Recent developments in chiral dynamics of hadrons and hadrons in a nuclear medium
• The dynamically generated $h_1$ state by the $K^{\ast }{\bar{K}}^{\ast }$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays
• Selected topics on Hadrons in Nuclei
• Role of the $\Lambda (1600)$ in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction
• Electromagnetic transition form factors and Dalitz decays of hyperons