Internal structure of resonant Lambda(1405) state in chiral dynamics

Abstract

The internal structure of the resonant Lambda(1405) state is investigated based on meson-baryon coupled-channels chiral dynamics, by evaluating density distributions obtained from the form factors of the Lambda(1405) state. The form factors are defined as an extension of the ordinary stable particles and are directly evaluated from the meson-baryon scattering amplitude, paying attention to the charge conservation of the probe interaction. For the resonant Lambda(1405) state we calculate the density distributions in two ways. One is on the pole position of the Lambda(1405) in the complex energy plane, which evaluates the resonant Lambda(1405) structure without contamination from nonresonant backgrounds, and another on the real energy axis around the Lambda(1405) resonance energy, which may be achieved in experiments. Using sereval probe interactions and channel decomposition, we separate the various contributions to the internal structure of the Lambda(1405). As a result, we find that the resonant Lambda(1405) state is composed of widely spread Kbar around N, which gives dominant component inside the Lambda(1405), with escaping pi Sigma component. Furthermore, we consider Kbar N bound state without decay channels, with which we can observe the internal structure of the bound state within real numbers. We also study the dependence of the form factors on the binding energy and meson mass. This verifies that the form factor defined through the scattering amplitude serves as a natural generalization of the form factor for the resonance state. The relation between the interaction strength and the meson mass shows that the physical kaon mass appears to be within the suitable range to form a molecular bound state with the nucleon through the chiral SU(3) interaction.

31 pages, 25 figures

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• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Exotic Hadrons from Heavy Ion Collisions
• Compositeness of dynamically generated states in a chiral unitary approach
• Weak decays of heavy hadrons into dynamically generated resonances
• Studying Exotic Hadrons in Heavy Ion Collisions
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Structure and compositeness of hadron resonances
• Antikaon-nucleon interaction and Lambda(1405) in chiral SU(3) dynamics
• The $KD$, $\eta D_s$ interaction in finite volume and the nature of the $D_{s^{\ast }0}(2317)$ resonance
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• QCD and the Strange Baryon Spectrum
• Structure of Lambda(1405) and construction of KbarN local potential based on chiral SU(3) dynamics
• Testing the molecular nature of ${\mathbf{D}}_{\mathbf{s}0}^{\ast }(2317)$ and ${\mathbf{D}}_0^{\ast }(2400)$ in semileptonic ${\mathbf{B}}_{\mathbf{s}}$ and $\mathbf{B}$ decays
• The pole structure of the Lambda(1405) in a recent QCD simulation
• Constraint on K Kbar compositeness of the a0(980) and f0(980) resonances from their mixing intensity
• Compositeness of baryonic resonances: Applications to the Delta(1232), N(1535), and N(1650) resonances
• Size measurement of dynamically generated resonances with finite boxes
• Determination of exotic hadron structure by constituent-counting rule for hard exclusive processes
• Two-body wave functions and compositeness from scattering amplitudes. I. General properties with schematic models
• Study the molecular nature of $\sigma$, $f_0(980)$, and $a_0(980)$ states
• Construction of a local barK N-pi Sigma-pi Lambda potential and composition of the Lambda(1405)
• Branching ratios of mesonic and nonmesonic antikaon absorptions in nuclear medium
• Theoretical support for the $\pi (1300)$ and the recently claimed $f_0(1790)$ as molecular resonances
• The Lambda* N interaction and two-body bound state based on chiral dynamics
• $\Xi (1690)$ as a $\bar{K}\Sigma$ molecular state
• Comprehensive application of a coupled-channel complex scaling method to the KbarN-piY system
• Magnetic moments of the low-lying $J^P=1/2^{-}$, $3/2^{-}$ $\Lambda$ resonances within the framework of the chiral quark model
• Determination of compositeness of the Lambda(1405) resonance from its radiative decay
• The $DN$, $\pi {\Sigma }_c$ interaction in finite volume and the ${\Lambda }_c(2595)$ resonance
• Exotic hadrons and hadron-hadron interactions in heavy ion collisions
• Is two-poles' $\Lambda (1405)$ one state or two?
• Recent developments in antikaon-nucleon dynamics
• Investigation of $qqqs\bar{q}$ pentaquarks in a chiral quark model
• Reanalysis of lattice QCD spectra leading to the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$
• Determining Compositeness of Hadronic Resonances: the $\Lambda (1405)$ Radiative Decay and the $a_0(980)$-$f_0(980)$ Mixing
• Dynamically Generated $\Xi (1690)$
• Antikaon-nucleon dynamics and its application to few-body systems
• Two-body Wave Functions, Compositeness, And The Internal Structure Of Dynamically Generated Resonances
• Compositeness of Hadrons and Near-Threshold Dynamics
• Size measurement of dynamically generated hadronic resonances with finite volume effect
• Hadronic few-body systems in chiral dynamics, -- Few-body systems in hadron physics --
• Investigation of the $\bar{K}$--${}^6$Li Interaction and the Search for the $\Lambda (1405)$ Resonance