We perform a collective coordinate quantization of the classically stable baryon-number-two skyrmion in SU(3). We show that a relation between the number of colors and flavor triality of the dibaryons is generated by the Wess-Zumino term. The Skyrme model parameters are determined by using the baryon number one results. The dibaryon mass spectrum in the chiral limit is then obtained (in GeV): M = 1.5 + 0.049C1 + 0.009J(J + 1), where C1 is the quadratic Casiimir of flavor SU(3) and J is the spin. We compare our results with quark model expectations.
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