Separable potential model for $K^{-}N$ interactions at low energies

Abstract

The effective separable meson-baryon potentials are constructed to match the equivalent chiral amplitudes up to the second order in external meson momenta. We fit the model parameters (low energy constants) to the threshold and low energy $K^{-}p$ data. In the process, the $K^{-}$-proton bound state problem is solved exactly in the momentum space and the 1s level characteristics of the kaonic hydrogen are computed simultaneously with the available low energy $K^{-}p$ cross sections. The model is also used to describe the $\pi \Sigma$ mass spectrum and the energy dependence of the $K^{-}n$ amplitude.

31 pages, v2 - added corrections to make it compatible with the published version

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Cited by in corpus (24)

• The nature of the Lambda(1405) resonance in chiral dynamics
• Chirally motivated $\bar{K}N$ amplitudes for in-medium applications
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Chirally motivated K^- nuclear potentials
• K^- nuclear potentials from in-medium chirally motivated models
• Faddeev fixed-center approximation to the $N\bar{K}K$ system and the signature of a $N^{\ast }(1920)(1/2^{+})$ state
• Kaonic atoms and in-medium K-N amplitudes II: interplay between theory and phenomenology
• Calculations of $K^{-}$ nuclear quasi-bound states based on chiral meson-baryon amplitudes
• Kaonic atoms and in-medium $K^{-}N$ amplitudes
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Chirally motivated separable potential model for $\eta N$ amplitudes
• Hyperon I: Partial wave amplitudes for $K^{-}p$ scattering
• Constraints on the threshold K- nuclear potential from FINUDA (stopped K-, pi-) hypernuclear spectra
• Are the chiral based $\bar{K}N$ potentials really energy dependent?
• Faddeev approach to the reaction $K^{-}d\to \pi \Sigma n$ at $p_K=1$ GeV/c
• The Lambda(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions
• Investigation of $qqqs\bar{q}$ pentaquarks in a chiral quark model
• Lambda-hypernuclear production in stopped (K-,pion) reactions reexamined
• Separable potential model for meson-baryon interaction beyond the S-wave
• A possible interpretation of $\Lambda$ baryon spectrum with pentaquark components
• Chirally motivated $\pi \Sigma$-$\bar{K}N$ model in a finite volume
• On the origin and movement of the poles in the coupled channels model for $\bar{K}N$ interactions
• Energy dependence of $\bar{K}N$ interaction in nuclear medium
• SU(3) flavor symmetry considerations for the $\bar{K}N$ coupled channels system