On the scattering length of the K^- d system

Abstract

Multiple-scattering approximations to Faddeev calculations of the K^- d scattering length are reviewed and compared with published Kbar-N-N <--> pi-Y-N fully reactive Faddeev calculations. A new multiple-scattering approximation which goes beyond the `fixed-center' assumption for the nucleons is proposed, aiming at accuracies of 5-10%. A precise value of the K^- d scattering length from the measurement of the K^- d 1s atomic level shift and width, planned by the DEAR/SIDDHARTA collaboration, plus a precise value for the K^- p scattering length by improving the K^- p atom measurements, are essential for extracting the K^- n scattering length, for resolving persistent puzzles in low-energy Kbar-N phenomenology and for extrapolating into Kbar-nuclear systems.

arXiv commentInvited talk at MESON 2006, Krakow, June 2006. To be published in International Journal of Modern Physics A. Requires use of ws-ijmpa.cls

References in corpus (6)

• Spectrum and decays of kaonic hydrogen
• Chiral unitary approach to the K^- deuteron scattering length
• Low energy Kbar N interactions and Faddeev calculation of the K- d scattering length in isospin and particle bases
• Near-threshold production of a0(980) mesons in the reaction pp -> d K^+ \bar{K}^0
• Determination of pi-N scattering lengths from pionic hydrogen and pionic deuterium data
• Determination of the \bar K^0 d scattering length from the reaction pp \to d \bar K^0 K^+

Cited by in corpus (32)

• The $\bar{K}NN$ system with chiral dynamics
• A narrow $DNN$ quasi-bound state
• Preliminary study of kaonic deuterium X-rays by the SIDDHARTA experiment at DAFNE
• Limits to the Fixed Center Approximation to Faddeev equations: the case of the $\varphi (2170)$
• Faddeev fixed-center approximation to the $N\bar{K}K$ system and the signature of a $N^{\ast }(1920)(1/2^{+})$ state
• The role of nucleon recoil in low-energy antikaon-deuteron scattering
• $NDK$, $\bar{K}DN$ and $ND\bar{D}$ molecules
• A new perspective on the Faddeev equations and the $\bar{K}NN$ system from chiral dynamics and unitarity in coupled channels
• Plausible explanation of the ${\Delta }_{5/2^{+}}(2000)$ puzzle
• Hadron Physics at J-PARC
• Improved Fixed Center Approximation of the Faddeev equations for the $\bar{K}NN$ system with S=0
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Characterization of the SIDDHARTA-2 luminosity monitor
• Recoil corrections in antikaon-deuteron scattering
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• $K$-series X-ray yield measurement of kaonic hydrogen atoms in a gaseous target
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• Pseudotensor mesons as three-body resonances
• Topics in Low-Energy QCD with Strange Quarks
• Prediction of new states from $D^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ three-body interactions
• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Energy Level Displacement of Excited np State of Kaonic Deuterium In Faddeev Equation Approach
• Faddeev fixed center approximation to $\pi \bar{K}{K}^{\ast }$ system and the ${\pi }_1(1600)$
• rho-rho-N and rho-rho-Delta molecules with $J^P=5/2^{+}$ and $J^P=7/2^{+}$
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• Kaon-deuteron femtoscopy from unitarized chiral interactions
• States generated in the $K$-multi-$\rho$ interactions
• On the width of the $K^{-}$D atom ground state
• Strong interaction studies with kaonic atoms
• Kaonic deuterium and low-energy antikaon-nucleon interaction
• Onset of $\eta$ nuclear binding