  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.
