  We study the nonaquark states $S^0(3115)$ and $S^+(3140)$ which are reported
by KEK-PS (Phys.Lett. B597 (2004) 236; nucl-ex/0310018) by means of the quark
model with diquark correlation. The nonaquark states form
$\bf{1},\bf{8},\bf{10},\bar{\bf{10}},\bf{27},\bar{\bf{35}}$ SU(3) multiplets.
The flavor wave functions of all the nonaquark states are constructed through
the standard tensor technique. The mass spectrum is studied by using
Gell-Mann-Okubo mass formula. Some nonaquark mass sum rules are obtained. We
further investigate the decay of $S^0(3115)$ and $S^+(3140)$ under the
assumption of "fall-apart" mechanism. It has been found that the main decay
mode is $\Sigma NN$ rather than $\Lambda NN$ which is consistent with
experiment. Also we have uniquely determine the flavor wave function of
$S^0(3115)$ which belong to $\bf{27}$-plet with the quantum number
$Y=2,I=1,I_z=-1$. Whereas the exotic states $S^+(3140)$ can belong to either
$\bf{27}$-plet or $\bar{\bf{35}}$-plet. In the exact $SU(3)^{flavor}\times
SU(3)^{color}\times SU(2)^{spin}$ limit, both $S^0(3115)$ and $S^+(3140)$
belong to ${\bf 27}$-plet with negative parity. We predict that its flavor
structure can be determined by measuring the branch fractions of its decay
channels. The experiments to check this prediction are expected.
