  We study $S$-wave interactions of the baryon decuplet with the octet of
pseudoscalar mesons using the lowest order chiral Lagrangian. In the S=1
sector, we find an attractive interaction in the $\Delta K$ channel with I=1
while it is repulsive for I=2. The attractive interaction leads to a pole in
the second Riemann sheet of the complex plane and is manifested as a large
strength in the scattering amplitude close to the $\Delta K$ threshold, which
is not the case for I=2.
  We use the unitarized coupled channel approach to also investigate all the
other possible values of strangeness and isospin. We find two bound states in
the SU(3) limit corresponding to the octet and decuplet representations. These
are found to split into eight different trajectories in the complex plane when
the SU(3) symmetry is broken gradually. Finally, we are able to provide a
reasonable description for a good number of 4-star ${{3/2}}^-$ resonances
listed by the Particle Data Group. In particular, the $\Xi(1820)$, the
$\Lambda(1520)$ and the $\Sigma(1670)$ states are well reproduced. We predict a
few other resonances and also evaluate the couplings of the observed resonances
to the various channels from the residues at the poles of the scattering matrix
from where partial decay widths into different channels can be evaluated.

Nuclear Theory