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arXiv · 0712.1613

Effective Kbar N interaction based on chiral SU(3) dynamics

Tetsuo Hyodo·Wolfram Weise
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Abstract

The effective Kbar N interaction based on chiral SU(3) coupled-channel dynamics is derived and its extrapolation below the Kbar N threshold is studied in detail. Starting from the coupled-channel scattering equations, we eliminate the channels other than Kbar N and obtain an effective interaction in the single Kbar N channel. An equivalent local potential in coordinate space is constructed such as to reproduce the full scattering amplitude of the chiral SU(3) coupled-channel framework. We discuss several realistic chiral SU(3)-based models in comparison to reach conclusions about the uncertainties involved. It turns out that, in the region relevant to the discussion of deeply bound Kbar-nuclear few-body systems, the resulting energy-dependent, equivalent local potential is substantially less attractive than the one suggested in previous purely phenomenological treatments.

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Tetsuo Hyodo, Wolfram Weise. 2008-03-17. Effective Kbar N interaction based on chiral SU(3) dynamics. https://doi.org/10.1103/physrevc.77.035204

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