Lambda(1405) poles obtained from pi0-Sigma0 photoproduction data

Abstract

We present a strategy to extract the position of the two $\Lambda (1405)$ poles from experimental photoproduction data measured recently at different energies in the $\gamma p\to K^{+}{\pi }^0{\Sigma }^0$ reaction at Jefferson Lab. By means of a chiral dynamics motivated potential but with free parameters, we solve the Bethe Salpeter equation in the coupled channels $\bar{K}N$ and $\pi \Sigma$ in isospin I=0 and parameterize the amplitude for the photonuclear reaction in terms of a linear combination of the $\pi \Sigma \to \pi \Sigma$ and $\bar{K}N\to \pi \Sigma$ scattering amplitudes in I=0, with a different linear combination for each energy. Good fits to the data are obtained with some sets of parameters, by means of which one can also predict the cross section for the $K^{-}p\to {\pi }^0{\Sigma }^0$ reaction. These later results help us decide among the possible solutions. The result is that the different solutions lead to two poles similar to those found in the chiral unitary approach. With the best result we find the two $\Lambda (1405)$ poles at $1385-68i\mev$and $1419-22i\mev$.

9 pages, 5 figures

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Cited by in corpus (49)

• Hadronic molecules
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Two-pole structures in QCD: Facts, not fantasy!
• On the isospin 0 and 1 resonances from $\pi \Sigma$ photoproduction data
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• 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
• A meson-baryon molecular interpretation for some ${\Omega }_c$ excited baryons
• Role of a triangle singularity in the $\gamma p\to K^{+}\Lambda (1405)$ reaction
• Novel approaches in Hadron Spectroscopy
• 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
• The ${\Lambda }_b\to J/\psi K\Xi$ decay and the higher order chiral terms of the meson baryon interaction
• Light-quark contributions to the magnetic form factor of the Lambda(1405)
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Antineutrino induced Lambda(1405) production off the proton
• Structure of the $\Lambda (1405)$ and the $K^{-}d\to \pi \Sigma n$ reaction
• Understanding the Nature of $\Lambda (1405)$ through Regge Physics
• S- and p-wave structure of $S=-1$ meson-baryon scattering in the resonance region
• Lambda (1405) photoproduction based on chiral unitary model
• Hyperon I: Partial wave amplitudes for $K^{-}p$ scattering
• The role of the triangle singularity in $\Lambda (1405)$ production in the ${\pi }^{-}p\to K^0\pi \Sigma$ and $pp\to p{K}^{+}\pi \Sigma$ processes
• ${\chi }_{c0}(1P)$ decay into $\bar{\Sigma }\Sigma \pi$ in search of an $I=1$, $1/2^{-}$ baryon state around $\bar{K}N$ threshold
• Are the chiral based $\bar{K}N$ potentials really energy dependent?
• Pole position of $\Lambda (1405)$ measured in $d(K^{-},n)\pi \Sigma$ reactions
• $\Lambda (1405)$ production in the process ${\chi }_{c0}(1P)\to \bar{\Lambda }\Sigma \pi$
• Investigation of the Lambda(1405) line shape observed in pp collisions
• ${\Lambda }_c$ Semileptonic Decays in a Quark Model
• Semileptonic ${\Lambda }_c$ decay to $\nu l^{+}$ and $\Lambda (1405)$
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• Theoretical study of the Lambda(1405) resonance in Xi_b^0 -> D^0 pi Sigma decay
• What We Know About the Lambda(1405)
• Charge-conjugation asymmetry and molecular content: the $D_{s0}^{\ast }(2317{)}^{\pm }$ in matter
• $\Lambda (1405)$ mediated triangle singularity in the $K^{-}d\to p{\Sigma }^{-}$ reaction
• Trace of $\Lambda (1405)$ resonance in low energy $K^{-}+{}^3\mathrm{He}\to ({\pi }^0{\Sigma }^0)+d$ reaction
• A possible interpretation of $\Lambda$ baryon spectrum with pentaquark components
• Structure of $\Lambda$(1405) resonance and $\gamma p\to K^{+}+(\pi \Sigma {)}^0$ reaction
• Amplitude analysis of $\bar{K}N$ scattering
• Role of ${\Sigma }^{\ast }(1/2^{-})$ baryons in ${\Lambda }_c\to \Lambda {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• Lessons from fitting the lowest order energy independent chiral based $\bar{K}N$ potential to experimental data
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$
• Investigation of the $\bar{K}$--${}^6$Li Interaction and the Search for the $\Lambda (1405)$ Resonance
• Polarization of $\Lambda (1405)$ in the $\gamma p\to K^{+}\pi \Sigma$ reaction
• Studies on photo- and electro-productions of $\Lambda (1405)$ via ${\gamma }^{(\ast )}p\to K^{\ast +}{\pi }^0{\Sigma }^0$