Speaker
Description
The kaonic cluster $NN{\bar K}(s_{NN}=0)$ is modeled based on the configuration space Faddeev equations. The $N{\bar K}$ interaction is given by isospin-dependent potentials having significant difference between singlet and triplet components. We show that the relation $\left\vert E_{3}(V_{AA}=0)\right\vert~<~2\left\vert E_{2}\right\vert$ is satisfied, where $E_{2}$ is the binding energy of the $N{\bar K}$ subsystem and $E_{3}(V_{AA}=0)$ is the three-body binding energy, when interaction between identical particles is omitted, V_{NN}=0$.Taking into account weak attraction of $NN$ interaction, the relation leads to the evaluation $|E_3|\le 2|E_2|$. The ''isospinless model'' for the kaonic clusters based on the isospin averaged $N{\bar K}$ potential [1,2,3] demonstrates the opposite relation, $\left\vert E_{3}(V_{AA}=0)\right\vert~>~2\left\vert E_{2}\right\vert$. The isospin averaging leads to loosely bound $NN{\bar K}$ system due to reduction of two-body threshold. Numerical calculations using phenomenological potentials will be presented.
This work is supported by the National Science Foundation grant HRD-1345219 and NASA grant NNX09AV07A.
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[2] T. Sekihara, E. Oset, A. Ramos, PTEP 123D03 (2016).
[3] N.Barnea, A.Gal, E.Z. Liverts, Physics Letters B 712, 132 (2012).
