1203.5313 (M. Bayar et al.)

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

M. Bayar, E. Oset

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.

View original: http://arxiv.org/abs/1203.5313