Isospin mixing effects in low-energy $\bar{K}N-\pi \Sigma$ interaction

Abstract

New strong coupled-channel $\bar{K}N-\pi \Sigma$ potential, reproducing all existing experimental data and suitable for using in an accurate few-body calculations, is constructed. Isospin breaking effects of direct inclusion of the Coulomb interaction and using of physical masses in calculations are investigated. The $1s$ level shift and width of kaonic hydrogen, consistent with the scattering data, was obtained and the corresponding exact strong $K^{-}p$ scattering length was calculated. One- and two-pole form of $\Lambda (1405)$ resonance was considered.

24 pages, 5 tables, 4 figures; one sentence was changed and one reference added

References in corpus (6)

• Effective Kbar N interaction based on chiral SU(3) dynamics
• K^- p scattering length from scattering experiments
• Lineshape of the Lambda(1405) Hyperon Measured Through its Sigma0 pion0 Decay
• The role of the $\Lambda (1405)$ in the $pp\to p{K}^{+}\Lambda (1405)$ reaction
• Kaonic hydrogen versus the $K^{-}p$ low energy data
• On extracting information about hadron-nuclear interaction from hadronic atom level shifts

Cited by in corpus (17)

• A New Measurement of Kaonic Hydrogen X rays
• Kaonic hydrogen X-ray measurement in SIDDHARTA
• DN interaction from meson exchange
• Near-threshold $K^{-}d$ scattering and properties of kaonic deuterium
• Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. II. The $K^{-}pp$ quasi-bound state
• One- versus two-pole $\bar{K}N-\pi \Sigma$ potential: $K^{-}d$ scattering length
• Precise calculation of the two-step process for K- d -> pi Sigma N in the Lambda (1405) resonance region
• Experimental confirmation of the Lambda(1405) Ansatz from resonant formation of a K-p quasi-bound state in K- absorption by 3He and 4He
• Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. I. Low-energy $K^{-}d$ scattering and antikaonic deuterium
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Resonant formation of Lambda(1405) by stopped-K- absorption in deuteron
• Three-body antikaon-nucleon systems
• Are the chiral based $\bar{K}N$ potentials really energy dependent?
• Exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ system
• Three-body calculation of the $1s$ level shift in kaonic deuterium
• Light kaonic atoms: from "corrected" to "summed up" Deser formula
• Molecule model for kaonic nuclear cluster anti-KNN