Dibaryons with two strange quarks and one heavy flavor in a constituent quark model

We investigate the symmetry property and the stability of dibaryons containing two strange quarks and one heavy flavor with isospin $I=\frac{1}{2}$. We construct the wave function of the dibaryon in two ways. First, we directly construct the color and spin state of the dibaryon starting from the four possible $SU(3)$ flavor states. Second, we consider the states composed of five light quarks and then construct the wave function of the dibaryon by adding one heavy quark. The stability of the dibaryon against the strong decay into two baryons is discussed by using the variational method in a constituent quark model with a confining and hyperfine potential. We find that, for all configurations with spin $S=0$, 1, 2, the ground states of the dibaryons are the sum of two baryons, and there is no compact bound state that is stable against the strong decay.

Figure 1

Spin Young tableau of $q^5$ and $q^{5}Q$.