Are the chiral based $\bar{K}N$ potentials really energy dependent?

Abstract

It is shown, that the energy dependence of the chiral based $\bar{K}N$ potentials, responsible for the occurrence of two poles in the $I=0$ sector, is the consequence of applying the on-shell factorization introduced in [E. Oset, A. Ramos, Nucl. Phys. A 635(1998)99]. When the dynamical equation is solved without this approximation, the $T$-matrix has only one pole in the energy region of the $\Lambda (1405)$ resonance.

Final version to be published in Few Body Systems

References in corpus (10)

• Effective Kbar N interaction based on chiral SU(3) dynamics
• 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)
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• Resonance energy of the barKNN-piYN system
• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• The role of nucleon recoil in low-energy antikaon-deuteron scattering
• Three-body antikaon-nucleon systems
• Coupled-channels Faddeev AGS calculation of $K^{-}ppn$ and $K^{-}ppp$ quasi-bound states
• Signature of the $\Lambda (1405)$ resonance in neutron spectra from the $K^{-}+d$ reaction

Cited by in corpus (10)

• Scattering studies with low-energy kaon-proton femtoscopy in proton-proton collisions at the LHC
• Two-pole structures in QCD: Facts, not fantasy!
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• QCD and the Strange Baryon Spectrum
• Constraining the $\overline{\mathrm{K}}\mathrm{N}$ coupled channel dynamics using femtoscopic correlations at the LHC
• Application of the Uniformized Mittag-Leffler Expansion to $\Lambda (1405)$
• Renormalization of Unitarized Weinberg-Tomozawa Interaction without On-shell Factorization and $I=0$ $\bar{K}N$ - $\pi \Sigma$ Coupled Channels
• The $\Lambda (1405)$ in resummed chiral effective field theory
• Light kaonic atoms: from "corrected" to "summed up" Deser formula
• Lessons from fitting the lowest order energy independent chiral based $\bar{K}N$ potential to experimental data