Search for the Pentaquark Parnters: $\Sigma^0$, $N^0$ and $\Theta^{++}$

Recent observations of a narrow, exotic, baryonic state, the $\Theta^+$, have generated great experimental and theoretical interests. The $\Theta^+$ has been predicted to be a 5-quark state which is a member of an antidecuplet of the flavor group $SU(3)_F$. If the $\Theta^+$ is confirmed, %It's very possilbe that $\Theta^+$ really exists, and if so the other members of this antidecuplet which are predicted to be narrow as well are also very likely to be observable. The Jefferson Lab experiment E04-012 focused on searching for two non-exotic antidecuplet parnters, $\Sigma^0$ and $N^0$, and one exotic isospin partner, $\Theta^ {++}$, in electro-production, $H(e,e^\prime K^-)X$ and $H(e,e^\prime K^+)X$, with $Q^2$ around 0.2 $(GeV/c)^2$ and $\theta_{\gamma K(\pi)} < 20^\circ$. Using the two Hall~A High Resolution Spectrometers allowed us to perform a high-resolution (FWHM=3.0~MeV) scan in the missing mass spectra. Data covering the range in missing mass of 1560-1860 MeV for the $\Sigma^0$, 1510-1900 MeV for the $N^0$ and 1460-1610 for the $\Theta^{++}$ have been obtained. The status and prospects will be discussed.