Study of light kaonic nuclei with a Chiral SU(3) - based KbarN interaction

We have investigated the prototype kaonic nucleus, $ppK^-$, using the method of Antisymmetrized Molecular Dynamics (AMD). In the present study we use a realistic $NN$ potential with strongly repulsive core, and a Chiral SU(3)-based $\bar{K}N$ interaction which is energy-dependent and includes both $s$- and p-wave interactions. We find that no self-consistent solutions exist when the range parameter of the $\bar{K}N$ interaction is less than 0.67 fm. Due to the strong repulsion of the $NN$ interaction at short distance, the two nucleons in $ppK^-$ keep a distance of about 1.2 fm and the total binding energy of $ppK^-$ does not exceed about 50 MeV in the scope of our current analysis.