Dynamical calculation of the $\Delta \Delta$ dibaryon candidates

Abstract

We perform a dynamical calculation of the $\Delta \Delta$ dibaryon candidates with $I{J}^P=03^{+}$ and $I{J}^P=30^{+}$ in the framework of two constituent quark models: the quark delocalization color screening model and the chiral quark model. Our results show that the dibaryon resonances with $I{J}^P=03^{+}$ and $I{J}^P=30^{+}$ can be formed in both models. The mass and width of $I{J}^P=03^{+}$ state are smaller than that of $I{J}^P=30^{+}$ state due to the one-gluon-exchange interaction between quarks. The resonance mass and decay width of $I{J}^P=03^{+}$ state in both models agree with that of the recent observed resonance in the reaction $pn\to d{\pi }^0{\pi }^0$. The $I{J}^P=30^{+}$ $\Delta \Delta$ is another dibaryon candidate with smaller binding energy and larger width. The hidden-color channel coupling is added to the chiral quark model, and we find it can lower the mass of the dibaryons by 10-20 MeV.

6 pages, 2 figures

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