Improved Fixed Center Approximation of the Faddeev equations for the $\bar{K}NN$ system with $S_{NN}=0$

Details Improved Fixed Center Approximation of the Faddeev equations for the $\bar{K}NN$ system with $S_{NN}=0$ Improved Fixed Center Approximation of the Faddeev equations for the $\bar{K}NN$ system with $S_{NN}=0$

2012-03-23

arxiv.org/abs/1203.5313v1

Physics

Nuclear Physics

Nuclear Theory

10 pages, 5 figures

Scientific paper

We extend the Fixed Center Approximation (FCA) to the Faddeev Equations for the $\bar{K} NN$ system with $S_{NN}=0$, including the charge exchange mechanisms in the $\bar{K}$ rescattering which have been ignored before in former works within the FCA. We obtain similar results to those found before, but the binding is reduced by 6 MeV. At the same time we also evaluate the explicit contribution the $\pi N \Sigma$ intermediate state in the three body system and find that it produces a small decrease in the binding of about 3 MeV. The system appears bound by about 35 MeV and the width omitting two body absorption, is about 50 MeV.

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