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arXiv · 1201.6549

Chiral SU(3) theory of antikaon-nucleon interactions with improved threshold constraints

Yoichi Ikeda·Tetsuo Hyodo·Wolfram Weise
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Abstract

$\bar{K}$-nucleon interactions are investigated in the framework of coupled-channels dynamics based on the next-to-leading order chiral SU(3) meson-baryon effective Lagrangian. A recent determination of the 1s shift and width of kaonic hydrogen enables us to set accurate constraints on the coupled-channels meson-baryon amplitudes in the strangeness $S=-1$ sector. Theoretical uncertainties in the subthreshold extrapolation of the coupled-channels amplitudes are discussed. Using this framework, we give predictions for $K^-$-neutron interactions and for the spectrum of the $Λ(1405)$ resonance. A simplified, effective three-channel model using leading order chiral SU(3) meson-baryon interactions is also constructed for convenient application in $\bar{K}$-nuclear few-body calculations.

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Yoichi Ikeda, Tetsuo Hyodo, Wolfram Weise. 2012-01-31. Chiral SU(3) theory of antikaon-nucleon interactions with improved threshold constraints. https://doi.org/10.1016/j.nuclphysa.2012.01.029

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