Isospin Effect in Three-Body Kaonic Clusters


الملخص بالإنكليزية

The kaonic clusters $K^{-}K^{-}p$ and $ppK^{-}$ are described based on the configuration space Faddeev equations for $AAB$ system. The $AB$ interaction is given by isospin-dependent potentials. For this isospin model, we show that the relation $leftvert E_{3}(V_{AA}=0)rightvert~<~2leftvert E_{2}rightvert$ is satisfied when $E_{2}$ is the binding energy of the $AB$ subsystem and $E_{3}(V_{AA}=0)$ is the three-body binding energy when interaction between identical particles is omitted, $V_{AA}=0$. For the $NN{bar K}$ system, 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 demonstrates the opposite relation $leftvert E_{3}(V_{AA}=0)rightvert~>~2leftvert E_{2}rightvert$. The isospin given charge formalism is presented for $NN{bar K}$ cluster. This formalism is related to isospin model by unitary transformation of the isospin basis. An interpretation of the particle representation for $NN{bar K}$ system is proposed.

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