On the isospin 0 and 1 resonances from $\pi \Sigma$ photoproduction data

Abstract

Recently we presented a successful strategy to extract the position of the two $\Lambda (1405)$ poles from experimental photoproduction data on the $\gamma p\to K^{+}{\pi }^0{\Sigma }^0$ reaction at Jefferson Lab. Following a similar strategy, we extend the previous method to incorporate also the isospin 1 component which allows us to consider in addition the experimental data on $\gamma p\to K^{+}{\pi }^{\pm }{\Sigma }^{\mp }$. The idea is based on considering a production mechanism as model independent as possible and implementing the final state interaction of the final meson-baryon pair based on small modifications of the unitary chiral perturbation theory amplitudes. Good fits to the data are obtained with this procedure, by means of which we can also predict the cross sections for the $K^{-}p\to \bar{K}N$, $\pi \Sigma$, $\pi \Lambda$ reactions for the different charge channels. Besides the two poles found for the $\Lambda (1405)$ resonance, we discuss the possible existence of an isospin 1 resonance in the vicinity of the $\bar{K}N$ threshold.

11 pages, 10 figures, 1 reference added. arXiv admin note: substantial text overlap with arXiv:1301.5741

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Cited by in corpus (50)

• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Weak decays of heavy hadrons into dynamically generated resonances
• Antikaon-nucleon interaction and Lambda(1405) in chiral SU(3) dynamics
• Predictions for the ${\Lambda }_b\to J/\psi \Lambda (1405)$ decay
• Weak decay of Lambda_c^+ for the study of Lambda(1405) and Lambda(1670)
• QCD and the Strange Baryon Spectrum
• $S=-1$ meson-baryon interaction and the role of isospin filtering processes
• Role of a triangle singularity in the $\gamma p\to K^{+}\Lambda (1405)$ reaction
• Hidden charm pentaquarks: mass spectrum, magnetic moments, and photocouplings
• Cross-channel constraints on resonant antikaon-nucleon scattering
• The pole structure of the Lambda(1405) in a recent QCD simulation
• 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
• ${\Sigma }_{1/2^{-}}^{\ast }(1380)$ in the ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$ decay
• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• The ${\Lambda }_b\to J/\psi K\Xi$ decay and the higher order chiral terms of the meson baryon interaction
• Visible narrow cusp structure in ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ enhanced by triangle singularity
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Antineutrino induced Lambda(1405) production off the proton
• Understanding the Nature of $\Lambda (1405)$ through Regge Physics
• Structure of the $\Lambda (1405)$ and the $K^{-}d\to \pi \Sigma n$ reaction
• Evidence of the low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$ in the process ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$
• Thermodynamics of strange baryon system from coupled-channel analysis and missing states
• Roles of $a_0(980)$, $\Lambda (1670)$, and $\Sigma (1385)$ in the ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$ decay
• Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• Search for the ${\Sigma }^{\ast }$ state in ${\Lambda }_c^{+}\to {\pi }^{+}{\pi }^0{\pi }^{-}{\Sigma }^{+}$ decay by triangle singularity
• On the hidden charm pentaquark-s in ${\Lambda }_b\to J/\psi K^{-}p$ decay
• Hyperon I: Partial wave amplitudes for $K^{-}p$ scattering
• ${\chi }_{c0}(1P)$ decay into $\bar{\Sigma }\Sigma \pi$ in search of an $I=1$, $1/2^{-}$ baryon state around $\bar{K}N$ threshold
• Photoproduction of ${\Lambda }^{\ast }$ and ${\Sigma }^{\ast }$ resonances with $J^P=1/2^{-}$ off the proton
• $\Lambda (1405)$ production in the process ${\chi }_{c0}(1P)\to \bar{\Lambda }\Sigma \pi$
• Kaonic Hydrogen and Deuterium in Hamiltonian Effective Field Theory
• Semileptonic ${\Lambda }_c$ decay to $\nu l^{+}$ and $\Lambda (1405)$
• Decay properties of $N^{\ast }(1895)$
• Study ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ and search for the low-lying baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$
• Observation of ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ and Evidence for $\Sigma (1380{)}^{+}$ in ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}\eta$
• Faddeev approach to the reaction $K^{-}d\to \pi \Sigma n$ at $p_K=1$ GeV/c
• Theoretical study of the Lambda(1405) resonance in Xi_b^0 -> D^0 pi Sigma decay
• Photo-production of lowest ${\Sigma }_{1/2^{-}}^{\ast }$ state within the Regge-effective Lagrangian approach
• What We Know About the Lambda(1405)
• $\Lambda (1405)$ mediated triangle singularity in the $K^{-}d\to p{\Sigma }^{-}$ reaction
• Structure of $\Lambda$(1405) resonance and $\gamma p\to K^{+}+(\pi \Sigma {)}^0$ reaction
• A possible interpretation of $\Lambda$ baryon spectrum with pentaquark components
• The odd-parity strange baryons $\Sigma ({\frac{1}{2}}^{-})$ below 1.8 GeV with Hamiltonian effective field theory
• Trace of $\Lambda (1405)$ resonance in low energy $K^{-}+{}^3\mathrm{He}\to ({\pi }^0{\Sigma }^0)+d$ reaction
• Role of ${\Sigma }^{\ast }(1/2^{-})$ baryons in ${\Lambda }_c\to \Lambda {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• Amplitude analysis of $\bar{K}N$ scattering
• The $\bar{K}N$ interaction in higher partial waves
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$
• Studies on photo- and electro-productions of $\Lambda (1405)$ via ${\gamma }^{(\ast )}p\to K^{\ast +}{\pi }^0{\Sigma }^0$