Structure of the $\mathbf{\Lambda }(1670)$ resonance

Abstract

We examine the internal structure of the $\Lambda (1670)$ through an analysis of lattice QCD simulations and experimental data within Hamiltonian effective field theory. Two scenarios are presented. The first describes the $\Lambda (1670)$ as a bare three-quark basis state, which mixes with the $\pi \Sigma$, $\bar{K}N$, $\eta \Lambda$ and $K\Xi$ meson-baryon channels. In the second scenario, the $\Lambda (1670)$ is dynamically generated from these isospin-0 coupled channels. The $K^{-}p$ scattering data and the pole structures of the $\Lambda (1405)$ and the $\Lambda (1670)$ can be simultaneously described well in both scenarios. However, a comparison of the finite-volume spectra to lattice QCD calculations reveals significant differences between these scenarios, with a clear preference for the first case. Thus the lattice QCD results play a crucial role in allowing us to distinguish between these two scenarios for the internal structure of the $\Lambda (1670)$.

13 pages, 5 figures, 1 table; accepted by Phys. Rev. D

References in corpus (27)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Observation of an exotic narrow doubly charmed tetraquark
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• Evidence of a $J/\psi \Lambda$ structure and observation of excited ${\Xi }^{-}$ states in the ${\Xi }_b^{-}\to J/\psi \Lambda K^{-}$ decay
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• The Flavor Structure of the Excited Baryon Spectra from Lattice QCD
• Observation of a $J/\psi \Lambda$ resonance consistent with a strange pentaquark candidate in $B^{-}\to J/\psi \Lambda \bar{p}$ decays
• Pion-nucleon scattering in the Roper channel from lattice QCD
• Two-pole structures in QCD: Facts, not fantasy!
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Quark-Model Identification of Baryon Ground and Resonant States
• QCD and the Strange Baryon Spectrum
• Structure of the $\mathbf{\Lambda }(1405)$ from Hamiltonian effective field theory
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• Elastic nucleon-pion scattering at $m_{\pi }=200\mathrm{MeV}$ from lattice QCD
• The radiative decay of the $\Lambda (1405)$ and its two-pole structure
• Kaon-proton strong interaction at low relative momentum via femtoscopy in Pb-Pb collisions at the LHC
• Role of five-quark components in radiative and strong decays of the Lambda(1405) resonance
• New insights into the nature of the $\Lambda (1380)$ and $\Lambda (1405)$ resonances away from the SU(3) limit
• Measurement of the strong interaction induced shift and width of the 1s state of kaonic deuterium at J-PARC
• Regularisation in Nonperturbative Extensions of Effective Field Theory
• Pole position of $\Lambda (1405)$ measured in $d(K^{-},n)\pi \Sigma$ reactions
• Flavor structure of $\Lambda$ baryons from lattice QCD: From strange to charm quarks
• The negative-parity spin-1/2 $\Lambda$ baryon spectrum from lattice QCD and effective theory
• Aspects of Strangeness -1 Meson-Baryon Scattering

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• Probing the isospin structure and low-lying resonances in ${\Lambda }_c^{+}\to n{\bar{K}}^0{\pi }^{+}$ decays