The SiD2 radical was produced by ArF laser photolysis of C6H5SiD3 in a free-jet expansion, and the laser-induced fluorescence (LIF) excitation spectrum of the ($) over tilde A B-1(1)-X (1)A(1) transition of SiD2 was measured. The LIF excitation spectra of the five vibronic bands, (0,v’2,0)-(0,v"(2),0), v’(2)-v"(2) = 0-0, 1-0, 2-0, 1-1, and 2-2, were obtained using a narrow-band dye laser with an intracavity etalon, the resolution of which attained to similar to 0.03 cm(-1). The rotational structures of the vibronic bands were well analyzed by a Hamiltonian including fourth-order terms, and the molecular constants were determined for the vibronic levels, v(2)=0, 1, and 2, of the ($) over tilde A B-1(1) and ($) over tilde X (1)A(1), states. By comparing the observed rotational line intensities with simulated ones, we found two kinds of intensity anomalies depending on the rotational quantum numbers J and K-a. We conclude that both the anomalies are caused by a predissociation process to the dissociation continuum, Si(P-3)+D-2, which was proposed in our previous paper [J. Chem Phys. 96, 44 (1992)]. The K-a dependent anomaly was explained by the interaction terms in the Fermi Golden Rule expression for the predissociation process, and the J dependence was interpreted by the final-state density.