Generalized weak-binding relations of compositeness in effective field theory

Abstract

We study the compositeness of near-threshold states to investigate the internal structure of exotic hadron candidates. Within the framework of effective field theory, Weinberg's weak-binding relation is extended to more general cases by easing several preconditions. First, by evaluating the contribution from the decay channel, we obtain the generalized relation for unstable quasibound states. Next, we generalize the relation to include the nearby CDD (Castillejo-Dalitz-Dyson) pole contribution with the help of the Pade approximant. The validity of the estimation with the generalized weak-binding relations is examined by numerical calculations. The method to systematically evaluate the error in the weak-binding relation is presented. Finally, by applying the extended relation to Lambda(1405), f0(980) and a0(980), we discuss their internal structure, in comparison with other approaches.

46 pages, 12 figures, published version

References in corpus (11)

• Big-Bang Nucleosynthesis
• Heavy quarkonium: progress, puzzles, and opportunities
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Origin of resonances in the chiral unitary approach
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• 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
• Re-analysis of data on a0(1450) and a0(980)
• Hadron mass scaling near the s-wave threshold

Cited by in corpus (2)

• Two-body wave functions and compositeness from scattering amplitudes. I. General properties with schematic models
• Two-body Wave Functions, Compositeness, And The Internal Structure Of Dynamically Generated Resonances