Abstract
A new improved study of K−–proton interactions near threshold is performed using coupled-channels dynamics based on the next-to-leading order chiral SU(3) meson–baryon effective Lagrangian. Accurate constraints are now provided by new high-precision kaonic hydrogen measurements. Together with threshold branching ratios and scattering data, these constraints permit an updated analysis of the complex K¯N and πΣ coupled-channels amplitudes and an improved determination of the K−p scattering length, including uncertainty estimates.
Highlights
Within the hierarchy of quark masses in QCD, the strange quark plays an intermediate role between “light” and “heavy”
Using the unitary coupled-channels method just described, the basic aim of the present work is to establish a much improved input set for chiral SU(3) dynamics, by systematic comparison with a variety of empirical data and with special focus on the new constraints provided by the recent kaonic hydrogen measurements [7]
We have carried out χ2 fits to the empirical data set in several consecutive steps: first starting with the leading order (TW) terms, adding direct and crossed Born terms, and using the complete next-to-leading order (NLO) effective Lagrangian
Summary
Within the hierarchy of quark masses in QCD, the strange quark plays an intermediate role between “light” and “heavy”. Using the unitary coupled-channels method just described, the basic aim of the present work is to establish a much improved input set for chiral SU(3) dynamics, by systematic comparison with a variety of empirical data and with special focus on the new constraints provided by the recent kaonic hydrogen measurements [7].
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