Structure of near-threshold quasi-bound states

Abstract

We study the compositeness of near-threshold quasi-bound states in the framework of effective field theory. From the viewpoint of the low-energy universality, we revisit the model-independent relations between the structure of the bound state and the observables in the weak binding limit. The effective field theory is utilized to generalize the weak-binding relation of the stable bound states to unstable quasi-bound states with decay modes. We present the interpretation of the complex values of the compositeness for the unstable states. Combining the model-independent relation and the threshold observables extracted from the experimental data, we show that Lambda(1405) is dominated by the Kbar N molecular structure and that a_0(980) is dominated by the non-Kbar K component.

5 pages, no figure, v3: published version

References in corpus (13)

• Heavy quarkonium: progress, puzzles, and opportunities
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• 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
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Interplay of quark and meson degrees of freedom in a near-threshold resonance
• Scattering Models for Ultracold Atoms
• Remarks on pole trajectories for resonances
• Re-analysis of data on a0(1450) and a0(980)
• Structure of Lambda(1405) and construction of KbarN local potential based on chiral SU(3) dynamics
• Hadron mass scaling near the s-wave threshold

Cited by in corpus (43)

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• Antikaon-nucleon interaction and Lambda(1405) in chiral SU(3) dynamics
• Effective range expansion for narrow near-threshold resonances
• QCD and the Strange Baryon Spectrum
• Coupled-channel approach in hadron-hadron scattering
• Femtoscopic study on $D{D}^{\ast }$ and $D{\bar{D}}^{\ast }$ interactions for $T_{cc}$ and $X(3872)$
• On the structure observed in the in-flight ${}^3\text{He}(K^{-},\Lambda p)n$ reaction at J-PARC
• How much is the compositeness of a bound state constrained by $a$ and $r_0$? The role of the interaction range
• Constraining the $\overline{\mathrm{K}}\mathrm{N}$ coupled channel dynamics using femtoscopic correlations at the LHC
• Compositeness of S-wave weakly-bound states from next-to-leading order Weinberg's relations
• Observation of a $\bar{K}NN$ bound state in the ${}^3\mathrm{He}(K^{-},\Lambda p)n$ reaction
• Generalized weak-binding relations of compositeness in effective field theory
• Compositeness of baryonic resonances: Applications to the Delta(1232), N(1535), and N(1650) resonances
• $N\Omega$ interaction: meson exchanges, inelastic channels, and quasibound state
• Generalization of Weinberg's Compositeness Relations
• Two-body wave functions and compositeness from scattering amplitudes. I. General properties with schematic models
• Accessing the strong interaction between $\Lambda$ baryons and charged kaons with the femtoscopy technique at the LHC
• Construction of a local barK N-pi Sigma-pi Lambda potential and composition of the Lambda(1405)
• 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
• Compositeness of $T_{cc}$ and $X(3872)$ by considering decay and coupled-channels effects
• The ${\Lambda }_c(2595)$ resonance as a dynamically generated state: the compositeness condition and the large $N_c$ evolution
• Structure of hadron resonances with a nearby zero of the amplitude
• Compositeness of hadrons, nuclei, and atomic systems
• Compositeness of hadron resonances in finite volume
• Two-body wave functions and compositeness from scattering amplitudes: II. Application to the physical $N^{\ast }$ and ${\Delta }^{\ast }$ resonances
• Inverse scattering problem with a bare state
• Charge-conjugation asymmetry and molecular content: the $D_{s0}^{\ast }(2317{)}^{\pm }$ in matter
• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
• Effective-range-expansion study of near threshold heavy-flavor resonances
• Double strangeness pentaquarks and other exotic hadrons in the ${\Xi }_b\to \Xi J/\Psi \varphi$ decay
• Compositeness Of Quasibound States from Effective Field Theory
• Two-body Wave Functions, Compositeness, And The Internal Structure Of Dynamically Generated Resonances
• Role of the effective range in the weak-binding relation
• Theoretical study of the $\Xi \alpha$ correlation function
• Structure of exotic hadrons by a weak-binding relation with finite-range correction
• Compositness and wave function of shallow bound states in relation to scattering observables
• Understanding the 1P- and 2S-wave nucleon resonances within the extended Lee-Friedrichs Model
• Model-independent determination of the compositeness of near-threshold quasibound states
• Compositeness of Near Threshold Quasi-Bound States