Structure of Lambda(1405) and construction of KbarN local potential based on chiral SU(3) dynamics

Abstract

We develop the single-channel local potential for the KbarN system, which is applicable to quantitative studies of Kbar bound states in nuclei. Because the high precision measurement of the kaonic hydrogen by SIDDHARTA reduces the uncertainty of the KbarN amplitude below the KbarN threshold, the local potential should be calibrated in a wide energy region. We establish a new method to construct the local potential focusing on the behavior of the scattering amplitude in the complex energy plane. Applying this method, we construct the KbarN potential based on the chiral coupled-channel approach with the SIDDHARTA constraint. The wave function from the new potential indicates the KbarN molecular structure of Lambda(1405).

15 pages, 10 figures

References in corpus (19)

• Chiral effective field theory and nuclear forces
• Effective Kbar N interaction based on chiral SU(3) dynamics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• K^- p scattering length from scattering experiments
• Strange dibaryon resonance in the anti-KNN--piYN system
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• Indication of a deeply bound compact K-pp state formed in the pp -> p Lambda K+ reaction at 2.85 GeV
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• $K^{-}pp$ system with chiral SU(3) effective interaction
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Measurement of the Sigma pi photoproduction line shapes near the Lambda(1405)
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• Photoproduction of Lambda(1405) and Sigma^{0}(1385) on the proton at E_γ= 1.5-2.4 GeV
• Partial Wave Analysis of the Reaction $p(3.5GeV)+p\to p{K}^{+}\Lambda$ to Search for the "$pp{K}^{-}$" Bound State
• Electromagnetic mean squared radii of Lambda(1405) in chiral dynamics
• Double-pole nature of $\Lambda (1405)$ studied with coupled-channel complex scaling method using complex-range Gaussian basis

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• Structure of hadron resonances with a nearby zero of the amplitude
• Compositeness of hadrons, nuclei, and atomic systems
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• What We Know About the Lambda(1405)
• $J/\psi$ near $T_c$
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• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
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• Compositness and wave function of shallow bound states in relation to scattering observables
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