Abstract

We present our latest calculations of $K^-$-nuclear quasi-bound states using a self-consistent scheme for constructing $K^-$-nuclear potentials from various subthreshold chirally inspired $\bar{K}N$ scattering amplitudes. We consider in-medium versions of the scattering amplitudes taking into account Pauli blocking in the intermediate states. The resulting $K^-$ binding energies as well as the widths exhibit the same A dependence, however, the binding energies strongly depend on the model used.

Highlights

  • The aim of the present study is to compare the predictions for K−-nuclear quasi-bound states calculated using different meson-baryon coupled channel interaction models: Prague (P NLO) [1], KyotoMunich (KM NLO) [2], Murcia (M1 and M2) [3], and Bonn (B2 and B4) [4]

  • The binding energies BK− and widths ΓK− of K−-nuclear quasi-bound states are obtained by solving the Klein-Gordon equation ω2K− + ∇2 − m2K− − ΠK− φK− = 0, (1)

  • The in-medium amplitudes F0 and F1 are obtained from the free-space amplitudes by applying the multiple scattering approach (WRW) [6]

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Summary

Introduction

The aim of the present study is to compare the predictions for K−-nuclear quasi-bound states calculated using different meson-baryon coupled channel interaction models: Prague (P NLO) [1], KyotoMunich (KM NLO) [2], Murcia (M1 and M2) [3], and Bonn (B2 and B4) [4]. The binding energies BK− and widths ΓK− of K−-nuclear quasi-bound states are obtained by solving the Klein-Gordon equation ω2K− + ∇2 − m2K− − ΠK− (pK− , ωK− , ρ) φK− = 0 , (1) The in-medium amplitudes F0 and F1 are obtained from the free-space amplitudes by applying the multiple scattering approach (WRW) [6]

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